Main:i from

Time bar (total: 1.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×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)

sample895.0ms (50.9%)

Memory
-119.7MiB live, 834.4MiB allocated
Samples
618.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 448.0ms
ival-add: 440.0ms (98.2% of total)
ival-true: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain176.0ms (10%)

Memory
13.5MiB live, 90.6MiB 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
109.0ms512×0valid
Compiler

Compiled 63 to 19 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 8.0ms (93.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess127.0ms (7.2%)

Memory
-14.2MiB live, 24.0MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 #s(literal 5 binary64) x)
Symmetry

(negabs x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.2%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 x x)
cost-diff192
(+.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
1×iter limit
1×saturated
1×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 #s(literal 5 binary64) x)
(+.f64 (+.f64 (+.f64 x x) x) x)
(*.f64 #s(literal 4 binary64) x)
(+.f64 (+.f64 x x) x)
(*.f64 #s(literal 3 binary64) x)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize13.0ms (0.8%)

Memory
14.9MiB live, 14.9MiB 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
9.0ms256×0valid
Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 4.0ms (99.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
3.4MiB live, 3.4MiB 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 (* 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 (* 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 (* 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 (* 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 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 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 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 (* 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 -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 -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 -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

3 calls:

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

simplify3.0ms (0.2%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
1×egg-herbie
Rules
16×lower-*.f64
16×lower-*.f32
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite208.0ms (11.8%)

Memory
-13.0MiB live, 66.8MiB 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
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×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 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 0 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 3 binary64) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (-.f64 x (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x #s(literal 0 binary64)))) (neg.f64 (+.f64 x #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x #s(literal 0 binary64))) #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
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(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 0 binary64))) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 3 binary64) x)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x))) x)
(fma.f64 #s(literal 3 binary64) x x)
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 3 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 3 binary64) x) x)
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (*.f64 #s(literal 3 binary64) x))
(+.f64 x x)

eval120.0ms (6.8%)

Memory
20.1MiB live, 57.4MiB allocated
Compiler

Compiled 5 108 to 643 computations (87.4% saved)

prune19.0ms (1.1%)

Memory
-19.4MiB live, 17.8MiB 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 x #s(literal 5 binary64)))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify5.0ms (0.3%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 5 binary64))
cost-diff0
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
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
0918
11714
22712
33712
43812
03812
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
(*.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
(*.f64 x #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) x)
x
#s(literal 5 binary64)

localize15.0ms (0.9%)

Memory
12.4MiB live, 12.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 5 binary64))
accuracy0
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
Samples
10.0ms256×0valid
Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 4.0ms (69.6% of total)
ival-mult: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) (patch #s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 5 binary64)) (patch (*.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((+ (+ (+ (+ x x) x) x) x) (* x 5))
1.0ms
x
@inf
((+ (+ (+ (+ x x) x) x) x) (* x 5))
1.0ms
x
@-inf
((+ (+ (+ (+ x x) x) x) x) (* x 5))

simplify3.0ms (0.2%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×egg-herbie
Rules
4×lower-*.f64
4×lower-*.f32
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0372
1472
0472
Stop Event
1×iter limit
1×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 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))
(* 5 x)
(*.f64 x #s(literal 5 binary64))

rewrite84.0ms (4.8%)

Memory
-28.6MiB live, 22.7MiB 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
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
(*.f64 x #s(literal 5 binary64))
Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 #s(literal 5 binary64) x))
(*.f64 #s(literal 5 binary64) x)
(*.f64 x #s(literal 5 binary64))

eval2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Compiler

Compiled 120 to 8 computations (93.3% saved)

prune4.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB 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 x #s(literal 5 binary64)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB 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 x #s(literal 5 binary64)))
(+.f64 (+.f64 (+.f64 (+.f64 x x) x) x) x)
Outputs
#s(approx (+ (+ (+ (+ x x) x) x) x) (*.f64 x #s(literal 5 binary64)))
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 10 to 6 computations (40% saved)

simplify33.0ms (1.9%)

Memory
-1.9MiB live, 37.0MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

soundness3.0ms (0.2%)

Memory
3.9MiB live, 3.9MiB allocated
Rules
16×lower-*.f64
16×lower-*.f32
8×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09144
113144
013144
Stop Event
1×done
1×iter limit
1×saturated
Compiler

Compiled 7 to 7 computations (0% saved)

preprocess36.0ms (2%)

Memory
5.4MiB live, 41.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 42 to 34 computations (19% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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