Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I

Time bar (total: 2.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
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)

sample572.0ms (21.4%)

Memory
21.5MiB live, 991.3MiB allocated
Samples
356.0ms8 253×0valid
0.0ms3valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-add: 124.0ms (93.1% of total)
ival-true: 6.0ms (4.5% of total)
ival-assert: 3.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain165.0ms (6.2%)

Memory
-65.0MiB live, 93.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 x y) z)
00-0-y
00-0-(+.f64 x y)
00-0-z
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
20.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 5.0ms (86.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess25.0ms (1%)

Memory
24.5MiB live, 24.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02150
16245
219145
349045
478045
584345
685945
055
075
1115
2185
3205
0205
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
Outputs
(+.f64 z (+.f64 y x))
Symmetry

(sort x y z)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) z)
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(+.f64 (+.f64 x y) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11111
21811
32011
02011
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
Outputs
(+.f64 z (+.f64 y x))
(+.f64 y x)
x
y
z

localize24.0ms (0.9%)

Memory
-22.0MiB live, 15.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (+.f64 x y) z)
accuracy0
(+.f64 x y)
Samples
20.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 13.0ms (95% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
2 → 60
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((+ (+ x y) z) (+ x y))
0.0ms
z
@inf
((+ (+ x y) z) (+ x y))
0.0ms
y
@inf
((+ (+ x y) z) (+ x y))
0.0ms
y
@-inf
((+ (+ x y) z) (+ x y))
0.0ms
x
@inf
((+ (+ x y) z) (+ x y))

simplify117.0ms (4.4%)

Memory
1.0MiB live, 115.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051210
1148210
2381210
31186210
42945210
54908210
65875210
75998210
86090210
96102210
08846210
Stop Event
iter limit
node limit
Counts
60 → 48
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(+.f64 y x)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
z
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
z
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 z x)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
y
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
y
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
(+.f64 z y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 z x) y)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)

rewrite174.0ms (6.5%)

Memory
4.8MiB live, 278.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1368
23188
350398
080748
Stop Event
iter limit
node limit
iter limit
Counts
2 → 212
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 x y)
Outputs
#<batchref>
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eval29.0ms (1.1%)

Memory
27.2MiB live, 65.1MiB allocated
Compiler

Compiled 5 187 to 630 computations (87.9% saved)

prune6.0ms (0.2%)

Memory
-23.4MiB live, 15.6MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2573260
Fresh000
Picked011
Done000
Total2574261
Accuracy
100.0%
Counts
261 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) z)
54.5%
#s(approx (+ (+ x y) z) (+.f64 z y))
96.7%
#s(approx (+ (+ x y) z) (+.f64 z x))
48.2%
#s(approx (+ (+ x y) z) (+.f64 y x))
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify3.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z y)
cost-diff0
#s(approx (+ (+ x y) z) (+.f64 z y))
cost-diff0
(+.f64 z x)
cost-diff0
#s(approx (+ (+ x y) z) (+.f64 z x))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (+ (+ x y) z) (+.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
01442
12042
22342
02342
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
z
x
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
z
y
Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
z
x
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
z
y

localize20.0ms (0.8%)

Memory
23.7MiB live, 23.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z y)
accuracy29.14487555899768
#s(approx (+ (+ x y) z) (+.f64 z y))
accuracy0
(+.f64 z x)
accuracy2.1289539011706884
#s(approx (+ (+ x y) z) (+.f64 z x))
accuracy0
(+.f64 y x)
accuracy33.166201079856556
#s(approx (+ (+ x y) z) (+.f64 y x))
Samples
14.0ms256×0valid
Compiler

Compiled 74 to 21 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 6.0ms (97.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ x y) z) (+.f64 z y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
y
@-inf
((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
x
@-inf
((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
z
@inf
((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))
0.0ms
x
@inf
((+ (+ x y) z) (+ y x) (+ (+ x y) z) (+ z x) (+ (+ x y) z) (+ z y))

simplify237.0ms (8.9%)

Memory
-30.0MiB live, 246.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075630
1227630
2564630
31699630
44043630
54666630
65033630
75171630
85195630
95195630
09415630
Stop Event
iter limit
node limit
Counts
180 → 144
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
x
(+ x z)
(+ x z)
(+ x z)
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
x
(+ x y)
(+ x y)
(+ x y)
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(+ x y)
(+ x y)
(+ x y)
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(+ x z)
(+ x z)
(+ x z)
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
Outputs
(+.f64 y x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 y x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
(+.f64 y x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 z y)
(+.f64 z y)
(+.f64 z y)
z
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
z
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 z y)
(+.f64 z y)
(+.f64 z y)
z
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
z
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 z y)
(+.f64 z y)
(+.f64 z y)
(+.f64 z x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
(+.f64 z x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 z x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 z y)
(+.f64 z y)
(+.f64 z y)
y
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
y
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 z y)
(+.f64 z y)
(+.f64 z y)
y
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
y
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 z y)
(+.f64 z y)
(+.f64 z y)
(+.f64 z y)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
(+.f64 z y)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
z
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
(+.f64 z y)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
x
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
x
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
x
(+.f64 z x)
(+.f64 z x)
(+.f64 z x)
x
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z y) x)

rewrite286.0ms (10.7%)

Memory
23.7MiB live, 178.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
01436
16936
263136
0846036
Stop Event
iter limit
node limit
iter limit
Counts
6 → 190
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval37.0ms (1.4%)

Memory
-7.8MiB live, 77.9MiB allocated
Compiler

Compiled 6 428 to 729 computations (88.7% saved)

prune50.0ms (1.9%)

Memory
-12.1MiB live, 26.7MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3340334
Fresh000
Picked033
Done011
Total3344338
Accuracy
100.0%
Counts
338 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 x y) z)
54.5%
#s(approx (+ (+ x y) z) (+.f64 z y))
96.7%
#s(approx (+ (+ x y) z) (+.f64 z x))
48.2%
#s(approx (+ (+ x y) z) (+.f64 y x))
Compiler

Compiled 64 to 39 computations (39.1% saved)

regimes11.0ms (0.4%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 (+.f64 x y) z)
Outputs
(+.f64 (+.f64 x y) z)
Calls

5 calls:

2.0ms
z
2.0ms
(+.f64 x y)
2.0ms
y
2.0ms
x
2.0ms
(+.f64 (+.f64 x y) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 x y) z)
100.0%1(+.f64 x y)
Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes10.0ms (0.4%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 z y))
Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z y))
Calls

5 calls:

2.0ms
y
2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
x
2.0ms
(+.f64 (+.f64 x y) z)
Results
AccuracySegmentsBranch
96.7%1x
96.7%1y
96.7%1z
98.8%2(+.f64 (+.f64 x y) z)
96.7%1(+.f64 x y)
Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
Outputs
#s(approx (+ (+ x y) z) (+.f64 z x))
Calls

2 calls:

2.0ms
(+.f64 (+.f64 x y) z)
2.0ms
x
Results
AccuracySegmentsBranch
96.7%1x
96.7%1(+.f64 (+.f64 x y) z)
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes131.0ms (4.9%)

Memory
-23.5MiB live, 14.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
Calls

5 calls:

125.0ms
(+.f64 (+.f64 x y) z)
1.0ms
(+.f64 x y)
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
48.2%1y
48.2%1z
48.2%1(+.f64 (+.f64 x y) z)
48.2%1(+.f64 x y)
48.2%1x
Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.4993973039972544e-206
5.0823320372633384e-211
Compiler

Compiled 8 to 11 computations (-37.5% saved)

simplify26.0ms (1%)

Memory
9.3MiB live, 45.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01649
12049
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(if (<=.f64 (+.f64 (+.f64 x y) z) #s(literal -7229475734293037/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736 binary64)) #s(approx (+ (+ x y) z) (+.f64 y x)) #s(approx (+ (+ x y) z) (+.f64 z y)))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 y x))
Outputs
(+.f64 z (+.f64 y x))
(if (<=.f64 (+.f64 z (+.f64 y x)) #s(literal -7229475734293037/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736 binary64)) #s(approx (+ (+ x y) z) (+.f64 y x)) #s(approx (+ (+ x y) z) (+.f64 z y)))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 y x))

soundness696.0ms (26.1%)

Memory
-14.0MiB live, 197.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051210
1148210
2381210
31186210
42945210
54908210
65875210
75998210
86090210
96102210
08846210
Stop Event
done
iter limit
node limit
Compiler

Compiled 61 to 31 computations (49.2% saved)

preprocess29.0ms (1.1%)

Memory
-2.0MiB live, 74.4MiB allocated
Remove

(sort x y z)

Compiler

Compiled 128 to 60 computations (53.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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