Main:i from

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample669.0ms (57.9%)

Memory
-5.8MiB live, 689.9MiB allocated
Samples
485.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-add: 167.0ms (95.2% of total)
ival-true: 6.0ms (3.4% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

explain125.0ms (10.8%)

Memory
-13.8MiB live, 153.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
00-0-(+.f64 x x)
00-0-(+.f64 (+.f64 (+.f64 x x) x) x)
00-0-(+.f64 (+.f64 x x) x)
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
49.0ms512×0valid
Compiler

Compiled 64 to 19 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 10.0ms (94.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess27.0ms (2.4%)

Memory
-11.2MiB live, 35.8MiB allocated
Algorithm
egg-herbie
Rules
88×sub-neg
64×cancel-sign-sub-inv
60×associate-+l-
48×unsub-neg
44×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0721
12912
21109
33466
44746
54916
64936
059
099
1165
2263
3373
4393
0393
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
(*.f64 x #s(literal 5 binary64))
Symmetry

(negabs x)

Compiler

Compiled 10 to 5 computations (50% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
Compiler

Compiled 10 to 5 computations (50% saved)

simplify5.0ms (0.4%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff64
(+.f64 (+.f64 x x) x)
cost-diff192
(+.f64 (+.f64 (+.f64 x x) x) x)
cost-diff192
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
Rules
28×lower-fma.f64
28×lower-fma.f32
20×lower-*.f64
20×lower-*.f32
20×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0525
0925
11615
22613
33713
43913
03913
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
(+.f64 (+.f64 (+.f64 x x) x) x)
(+.f64 (+.f64 x x) x)
(+.f64 x x)
x
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
(*.f64 x #s(literal 5 binary64))
(+.f64 (+.f64 (+.f64 x x) x) x)
(*.f64 x #s(literal 4 binary64))
(+.f64 (+.f64 x x) x)
(*.f64 x #s(literal 3 binary64))
(+.f64 x x)
x

localize17.0ms (1.5%)

Memory
-4.6MiB live, 34.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
accuracy0
(+.f64 (+.f64 (+.f64 x x) x) x)
accuracy0
(+.f64 (+.f64 x x) x)
accuracy0
(+.f64 x x)
Samples
11.0ms256×0valid
Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 5.0ms (91.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x x) x) x) (patch (+.f64 (+.f64 (+.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (+.f64 (+.f64 x x) x) (patch (+.f64 (+.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (+ (+ (+ x x) x) x) x)
1.0ms
x
@0
(+ (+ (+ (+ x x) x) x) x)
0.0ms
x
@-inf
(+ (+ (+ (+ x x) x) x) x)
0.0ms
x
@0
(+ x x)
0.0ms
x
@0
(+ (+ (+ x x) x) x)

simplify4.0ms (0.3%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
egg-herbie
Rules
16×lower-*.f64
16×lower-*.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
013144
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite88.0ms (7.6%)

Memory
-10.5MiB live, 104.0MiB allocated
Rules
670×lower-fma.f64
670×lower-fma.f32
230×lower-*.f64
230×lower-*.f32
210×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0524
0932
15512
068512
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 288
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
(+.f64 (+.f64 (+.f64 x x) x) x)
(+.f64 (+.f64 x x) x)
(+.f64 x x)
Outputs
(+.f64 x (+.f64 x x))
(+.f64 (+.f64 x x) x)
(+.f64 (+.f64 x x) (*.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x x))
(-.f64 (/.f64 (+.f64 x x) (+.f64 x #s(literal 0 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 0 binary64))))
(fma.f64 x #s(literal 2 binary64) x)
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 x #s(literal 4 binary64) x)
(fma.f64 x #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (+.f64 x x) (+.f64 x x) x)
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 3 binary64) x (+.f64 x x))
(fma.f64 (fma.f64 x (*.f64 x x) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (+.f64 x x)) (+.f64 x x))) (+.f64 x x))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))) x)
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x)))) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 (+.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 0 binary64))) (+.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) x)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 (+.f64 x x) (+.f64 x (+.f64 x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x #s(literal 0 binary64)))) x)
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eval36.0ms (3.1%)

Memory
1.7MiB live, 73.8MiB allocated
Compiler

Compiled 5 637 to 635 computations (88.7% saved)

prune43.0ms (3.7%)

Memory
6.9MiB live, 92.3MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New3351336
Fresh000
Picked101
Done000
Total3361337
Accuracy
100.0%
Counts
337 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
Compiler

Compiled 5 to 3 computations (40% saved)

simplify5.0ms (0.4%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 5 binary64) x)
cost-diff0
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
Rules
28×lower-fma.f64
28×lower-fma.f32
20×lower-+.f64
20×lower-*.f32
20×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0818
0924
11716
22712
33712
43812
03812
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
x
Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) x)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
x

localize18.0ms (1.6%)

Memory
-4.9MiB live, 33.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 5 binary64) x)
accuracy0
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
Samples
12.0ms256×0valid
Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 5.0ms (68% of total)
ival-mult: 2.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) x) (patch (*.f64 #s(literal 5 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* 5 x)
0.0ms
x
@inf
(* 5 x)
0.0ms
x
@-inf
(* 5 x)
0.0ms
x
@0
(+ (+ (+ (+ x x) x) x) x)
0.0ms
x
@-inf
(+ (+ (+ (+ x x) x) x) x)

simplify3.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
egg-herbie
Rules
lower-*.f64
lower-*.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0372
1472
0472
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
(* 5 x)
Outputs
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)

rewrite62.0ms (5.3%)

Memory
-4.7MiB live, 70.4MiB allocated
Rules
670×lower-fma.f64
670×lower-fma.f32
234×lower-*.f32
232×lower-*.f64
210×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
0916
15610
068710
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
(*.f64 #s(literal 5 binary64) x)
Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
(*.f64 x #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) x)

eval2.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated
Compiler

Compiled 121 to 4 computations (96.7% saved)

prune2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done000
Total27128
Accuracy
100.0%
Counts
28 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes3.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB allocated
Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
Calls

2 calls:

1.0ms
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
Compiler

Compiled 12 to 6 computations (50% saved)

simplify13.0ms (1.2%)

Memory
-21.9MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
1913
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))

soundness3.0ms (0.3%)

Memory
6.3MiB live, 6.3MiB allocated
Rules
16×lower-*.f64
16×lower-*.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
013144
Stop Event
done
iter limit
saturated
Compiler

Compiled 9 to 6 computations (33.3% saved)

preprocess23.0ms (2%)

Memory
18.8MiB live, 55.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 50 to 28 computations (44% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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