Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze202.0ms (3%)

Memory
-29.1MiB live, 130.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
56.3%56.2%43.7%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
76.6%76.5%23.4%0.1%0%0%0%11
76.6%76.5%23.4%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample896.0ms (13.5%)

Memory
72.3MiB live, 1 313.8MiB allocated
Samples
541.0ms8 254×0valid
0.0ms3valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-div: 126.0ms (54.3% of total)
ival-add: 54.0ms (23.3% of total)
ival-sub: 38.0ms (16.4% of total)
ival-true: 6.0ms (2.6% of total)
exact: 5.0ms (2.2% of total)
ival-assert: 3.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain84.0ms (1.3%)

Memory
-1.1MiB live, 196.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
00-0-(-.f64 #s(literal 1 binary64) (/.f64 y z))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
00-0-(/.f64 y z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))n/o360
(/.f64 y z)overflow36
(-.f64 #s(literal 1 binary64) (/.f64 y z))overflow36
Confusion
Predicted +Predicted -
+360
-0220
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-00220
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 7.0ms (53.2% of total)
ival-add: 3.0ms (22.8% of total)
ival-sub: 2.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess131.0ms (2%)

Memory
-37.1MiB live, 104.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03490
18382
216081
336181
4110481
5205881
6276981
7334581
8348481
9354281
10357881
11360681
12360681
089
0129
1179
2259
3349
4509
5669
6879
71159
81539
92129
103439
114519
126329
137809
148539
158949
168969
179009
09009
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Outputs
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify51.0ms (0.8%)

Memory
-10.3MiB live, 28.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
11724
22524
33424
45024
56624
68724
711524
815324
921224
1034324
1145124
1263224
1378024
1485324
1589424
1689624
1790024
090024
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
Outputs
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y x)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z

localize20.0ms (0.3%)

Memory
30.4MiB live, 30.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y z)
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy0
(+.f64 x y)
accuracy8.538064664735414
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Samples
14.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (47.8% of total)
ival-sub: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-7.4MiB live, 32.9MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 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 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 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 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 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 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 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) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 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) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 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
11.0ms
z
@0
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
2.0ms
y
@inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms
y
@-inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms
z
@-inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))
1.0ms
z
@inf
((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z))

simplify209.0ms (3.1%)

Memory
-16.3MiB live, 213.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181958
1589915
21844852
37144833
08247790
Stop Event
iter limit
node limit
Counts
108 → 101
Calls
Call 1
Inputs
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 (/ y z))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y (- 1 (/ y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
y
(+ x y)
(+ x y)
(+ x y)
(/ x (- 1 (/ y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ x (- 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 z y) (/.f64 x y) (/.f64 z y))) z)
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z)
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z)
(/.f64 (neg.f64 y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(+.f64 y x)
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
#s(literal 1 binary64)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(+.f64 y x)
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
#s(literal 1 binary64)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
x
(+.f64 y (fma.f64 (/.f64 x z) y x))
(fma.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 y z) (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x)
x
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
#s(literal 1 binary64)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(neg.f64 z)
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
(fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 (/.f64 z y) z z)) y)) y) z))
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
(/.f64 (neg.f64 y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(neg.f64 z)
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
(-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 (/.f64 z y) z z)) y)) y) z))
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
(/.f64 (neg.f64 y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 (-.f64 z y) z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y (/.f64 (-.f64 z y) z))
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z)))
y
(+.f64 y x)
(+.f64 y x)
(+.f64 y x)
(/.f64 x (/.f64 (-.f64 z y) z))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
x
(fma.f64 (/.f64 y x) x x)
(fma.f64 (/.f64 y x) x x)
(fma.f64 (/.f64 y x) x x)
(/.f64 x (/.f64 (-.f64 z y) z))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z)))
x
(fma.f64 (/.f64 y x) x x)
(fma.f64 (/.f64 y x) x x)
(fma.f64 (/.f64 y x) x x)

rewrite122.0ms (1.8%)

Memory
28.3MiB live, 186.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
15620
243220
3770520
0802520
Stop Event
iter limit
node limit
iter limit
Counts
4 → 336
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
Outputs
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eval93.0ms (1.4%)

Memory
-27.5MiB live, 149.8MiB allocated
Compiler

Compiled 9 526 to 1 017 computations (89.3% saved)

prune15.0ms (0.2%)

Memory
10.7MiB live, 49.8MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New42512437
Fresh000
Picked011
Done000
Total42513438
Accuracy
100.0%
Counts
438 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
69.1%
(/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
49.1%
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
86.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
47.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
49.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
40.4%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
49.0%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
45.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
48.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Compiler

Compiled 437 to 304 computations (30.4% saved)

simplify162.0ms (2.4%)

Memory
-18.2MiB live, 102.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 (-.f64 z y) z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
cost-diff384
(/.f64 y (/.f64 (-.f64 z y) z))
cost-diff0
(-.f64 (neg.f64 x) z)
cost-diff0
(/.f64 z y)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
cost-diff128
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 x y))
cost-diff0
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029164
046164
175164
2147162
3380160
4894160
52271160
64350160
75068160
85580160
95798160
105860160
116850160
127314160
137466160
08085160
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
y
z
(+.f64 y x)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
(neg.f64 z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)
x
y
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
(/.f64 z y)
z
y
(-.f64 (neg.f64 x) z)
(neg.f64 x)
x
(neg.f64 z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
(/.f64 y (/.f64 (-.f64 z y) z))
y
(/.f64 (-.f64 z y) z)
(-.f64 z y)
z
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
#s(literal 1 binary64)
(/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
y
z
(+.f64 x y)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
(neg.f64 z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)
x
y
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) z)
(/.f64 z y)
z
y
(-.f64 (neg.f64 x) z)
(neg.f64 x)
x
(neg.f64 z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y))
(*.f64 (/.f64 z (-.f64 z y)) y)
y
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 z y)
z

localize78.0ms (1.2%)

Memory
17.3MiB live, 176.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z y)
accuracy0.015625
(/.f64 (-.f64 z y) z)
accuracy8.48339999744424
(/.f64 y (/.f64 (-.f64 z y) z))
accuracy31.294221261561507
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
accuracy0
(neg.f64 z)
accuracy0
(neg.f64 x)
accuracy1.6960621399757418
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
accuracy30.6881579319066
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 #s(literal -1 binary64) (/.f64 x y))
accuracy2.220671454515428
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
accuracy30.86834066656519
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
accuracy0
(neg.f64 z)
accuracy41.4788108842267
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy0
(+.f64 y x)
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
accuracy8.558676253487427
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
Samples
60.0ms256×0valid
Compiler

Compiled 301 to 56 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 28.0ms (67% of total)
ival-sub: 4.0ms (9.6% of total)
ival-add: 3.0ms (7.2% of total)
ival-mult: 3.0ms (7.2% of total)
ival-neg: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.8%)

Memory
-25.1MiB live, 93.8MiB allocated
Counts
20 → 552
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<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 0 z) (#s(alt #<batchref> (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 z y) z) #<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>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
5.0ms
x
@-inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
5.0ms
z
@inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
5.0ms
z
@0
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))
3.0ms
y
@-inf
((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x))

simplify163.0ms (2.5%)

Memory
3.5MiB live, 281.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04826161
115235840
245995574
082165353
Stop Event
iter limit
node limit
Counts
552 → 535
Calls
Call 1
Inputs
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ y (* z (+ x y))))
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
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(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* -1 (/ (* x z) y))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 x) (/ 1 y))))
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(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ (* x z) y))
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x)))
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x)))
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x)))
(/ x (- 1 (/ y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
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(* x (- (* -1 (/ z x)) 1))
(/ x (- 1 (/ y z)))
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x
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(/ (- 1 (/ y z)) x)
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x))
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x))
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x))
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(/ x y)
(/ x y)
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(/ x y)
(* -1 (/ (* x z) y))
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(* -1 x)
(* -1 x)
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Outputs
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(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x (*.f64 y y)) z (/.f64 z y))) z)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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rewrite204.0ms (3.1%)

Memory
17.1MiB live, 283.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029148
046146
1196146
21646146
08837146
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 092
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
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#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
(neg.f64 z)
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 x y)
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
(/.f64 z y)
(-.f64 (neg.f64 x) z)
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#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
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Outputs
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eval307.0ms (4.6%)

Memory
6.6MiB live, 359.8MiB allocated
Compiler

Compiled 43 136 to 4 258 computations (90.1% saved)

prune50.0ms (0.8%)

Memory
34.7MiB live, 110.9MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 639111 650
Fresh527
Picked325
Done101
Total1 648151 663
Accuracy
100.0%
Counts
1 663 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
90.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))))
87.3%
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
17.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
49.0%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
50.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
17.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
43.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y)))
17.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
Compiler

Compiled 555 to 389 computations (29.9% saved)

simplify211.0ms (3.2%)

Memory
-11.6MiB live, 73.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
cost-diff0
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
cost-diff0
(/.f64 (neg.f64 z) y)
cost-diff0
(*.f64 (/.f64 (neg.f64 z) y) x)
cost-diff0
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x y))
cost-diff0
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))))
cost-diff512
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037223
052221
194209
2180209
3392207
4803207
52063207
63874207
74557207
84735207
94761207
104769207
114773207
125105207
135285207
145285207
155285207
05285207
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))))
#s(literal 1 binary64)
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
x
y
(/.f64 y (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
x
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
(+.f64 x y)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
z
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))))
#s(literal 1 binary64)
#s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
x
y
(/.f64 y (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) z)
z
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y))
(+.f64 x y)
y
x
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
x
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
(+.f64 x y)
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
z

localize85.0ms (1.3%)

Memory
-13.0MiB live, 144.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y z)
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy2.4433448070185344
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
accuracy30.934756447198733
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
accuracy0
(-.f64 z y)
accuracy0
(+.f64 x y)
accuracy0.01953125
(/.f64 z (-.f64 z y))
accuracy8.107925899824089
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
accuracy0
(neg.f64 z)
accuracy3.703919838804238
(*.f64 (/.f64 (neg.f64 z) y) x)
accuracy30.6881579319066
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
accuracy39.708320986451895
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
accuracy0
(+.f64 y x)
accuracy32.28312376407611
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy0.01171875
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))
accuracy0.19140625
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))))
accuracy9.367102226272944
(/.f64 y (*.f64 (+.f64 x y) z))
Samples
55.0ms256×0valid
Compiler

Compiled 382 to 67 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 19.0ms (49.4% of total)
ival-mult: 9.0ms (23.4% of total)
ival-sub: 4.0ms (10.4% of total)
ival-add: 3.0ms (7.8% of total)
ival-neg: 2.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series84.0ms (1.3%)

Memory
5.2MiB live, 80.4MiB allocated
Counts
20 → 600
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (*.f64 (+.f64 x y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
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Calls

9 calls:

TimeVariablePointExpression
8.0ms
y
@inf
((- (/ 1 (+ x y)) (/ y (* (+ x y) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ x y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ y (* (+ x y) z)) (neg z))
7.0ms
x
@0
((- (/ 1 (+ x y)) (/ y (* (+ x y) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ x y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ y (* (+ x y) z)) (neg z))
4.0ms
z
@0
((- (/ 1 (+ x y)) (/ y (* (+ x y) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ x y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ y (* (+ x y) z)) (neg z))
3.0ms
x
@inf
((- (/ 1 (+ x y)) (/ y (* (+ x y) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ x y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ y (* (+ x y) z)) (neg z))
3.0ms
x
@-inf
((- (/ 1 (+ x y)) (/ y (* (+ x y) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ x y)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ y z) (/ y (* (+ x y) z)) (neg z))

simplify170.0ms (2.6%)

Memory
11.0MiB live, 261.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08407871
126927418
080587164
Stop Event
iter limit
node limit
Counts
600 → 577
Calls
Call 1
Inputs
(* -1 (/ y (* z (+ x y))))
(/ (- (/ z (+ x y)) (/ y (+ x y))) z)
(/ (- (/ z (+ x y)) (/ y (+ x y))) z)
(/ (- (/ z (+ x y)) (/ y (+ x y))) z)
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(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ y (* z (+ x y))))
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(* -1 (/ (* z (+ x y)) y))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ (* z (+ x y)) y))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ z y))
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(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ (* x z) y))
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(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y (* z (+ x y)))
(/ y (* z (+ x y)))
(/ y (* z (+ x y)))
(/ y (* z (+ x y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ x y)
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(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(+ x y)
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(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(* -1 (/ z y))
(+ x y)
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(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
1
(+ 1 (/ y z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z)))
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2)))))
z
(* z (+ 1 (* -1 (/ y z))))
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(* z (+ 1 (* -1 (/ y z))))
(+ x y)
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(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
1
(+ 1 (* -1 (/ y z)))
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(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y (* z (+ x y)))
(/ y (* z (+ x y)))
(/ y (* z (+ x y)))
(/ y (* z (+ x y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ x y)
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(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
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(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(+ x y)
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(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(* -1 (/ (pow z 2) y))
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(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
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(* -1 (/ (* x z) y))
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(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ z y))
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(* -1 (/ z y))
(* -1 (/ z y))
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(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
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1
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z
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(* -1 (* z (- (/ y z) 1)))
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x
(+ x (/ (* x y) z))
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1
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(/ 1 x)
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x
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(/ 1 x)
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(/ 1 x)
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x
(+ x (* y (- 1 (* -1 (/ x z)))))
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x
(+ x y)
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x
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1
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Outputs
(/.f64 (neg.f64 y) (*.f64 (+.f64 y x) z))
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(*.f64 (neg.f64 z) (/.f64 (+.f64 y x) y))
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(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 y x) z)
(/.f64 (-.f64 (/.f64 y z) (/.f64 (*.f64 y (/.f64 y z)) x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) z) (*.f64 y (/.f64 y z))) (neg.f64 x)) (/.f64 y z)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (neg.f64 x)) (*.f64 y (/.f64 y z))) (neg.f64 x)) (/.f64 y z)) (neg.f64 x))

rewrite180.0ms (2.7%)

Memory
-1.1MiB live, 229.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037199
052197
1232185
22113185
08162185
Stop Event
iter limit
node limit
iter limit
Counts
20 → 816
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))))
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
(+.f64 y x)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (/.f64 (neg.f64 z) y) x)
(/.f64 (neg.f64 z) y)
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 z (-.f64 z y))
(-.f64 z y)
(+.f64 x y)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 y z)
(/.f64 y (*.f64 (+.f64 x y) z))
(neg.f64 z)
Outputs
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eval227.0ms (3.4%)

Memory
-17.6MiB live, 343.7MiB allocated
Compiler

Compiled 44 771 to 4 520 computations (89.9% saved)

prune45.0ms (0.7%)

Memory
27.0MiB live, 111.4MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 54361 549
Fresh358
Picked325
Done022
Total1 549151 564
Accuracy
100.0%
Counts
1 564 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.7%
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y)))
75.5%
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
17.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
17.4%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
50.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
17.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 z) x)))))
17.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
49.1%
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
Compiler

Compiled 522 to 358 computations (31.4% saved)

simplify280.0ms (4.2%)

Memory
-7.5MiB live, 69.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff0
#s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))
cost-diff0
(/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))))
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
cost-diff0
(*.f64 (/.f64 z (-.f64 z y)) x)
cost-diff0
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
cost-diff0
(*.f64 (neg.f64 z) x)
cost-diff0
(/.f64 (*.f64 (neg.f64 z) x) y)
cost-diff0
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
cost-diff0
#s(approx (/ (- z y) z) #s(literal 1 binary64))
cost-diff0
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
cost-diff0
(-.f64 z y)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 z (+.f64 y x))
cost-diff0
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038209
052207
198207
2169207
3366205
4841205
51761205
63286205
74154205
84474205
94627205
104769205
114818205
124831205
135049205
145121205
155121205
165165205
175271205
185345205
195363205
205363205
215363205
05363205
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
y
#s(approx (/ (- z y) z) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
x
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))))
(/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))
x
#s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(*.f64 (+.f64 x y) z)
z
(+.f64 x y)
y
x
(-.f64 z y)
#s(approx (* (/ z (- z y)) (+ x y)) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
y
#s(approx (/ (- z y) z) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (/ z (- z y)) (+ x y)) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 z (-.f64 z y))
z
(-.f64 z y)
y
x
#s(approx (* (/ z (- z y)) (+ x y)) (/.f64 x #s(approx (/ (- z y) z) (/.f64 (neg.f64 y) z))))
(/.f64 x #s(approx (/ (- z y) z) (/.f64 (neg.f64 y) z)))
x
#s(approx (/ (- z y) z) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z

localize102.0ms (1.5%)

Memory
-13.8MiB live, 133.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy2.4433448070185344
(/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))
accuracy30.77283652193257
#s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))
accuracy30.934756447198733
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))))
accuracy0
(-.f64 z y)
accuracy0.01953125
(/.f64 z (-.f64 z y))
accuracy2.2482125198002283
(*.f64 (/.f64 z (-.f64 z y)) x)
accuracy30.934756447198733
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
accuracy0
(neg.f64 z)
accuracy4.596919462853999
(/.f64 (*.f64 (neg.f64 z) x) y)
accuracy30.6881579319066
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
accuracy39.708320986451895
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
accuracy8.48339999744424
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
accuracy31.294221261561507
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
accuracy32.27334156067169
#s(approx (/ (- z y) z) #s(literal 1 binary64))
accuracy0
(-.f64 z y)
accuracy0
(+.f64 y x)
accuracy0.00390625
(*.f64 z (+.f64 y x))
accuracy15.68019065686649
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
Samples
54.0ms256×0valid
Compiler

Compiled 349 to 69 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 15.0ms (39.8% of total)
ival-mult: 7.0ms (18.6% of total)
ival-neg: 7.0ms (18.6% of total)
ival-add: 4.0ms (10.6% of total)
ival-sub: 3.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
28.2MiB live, 76.2MiB allocated
Counts
20 → 576
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (+.f64 y x)) #<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 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((/ (* z (+ y x)) (- z y)) (* z (+ y x)) (+ y x) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (* (/ z (- z y)) (+ x y)) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ (neg y) z) (neg z) (neg y))
3.0ms
x
@-inf
((/ (* z (+ y x)) (- z y)) (* z (+ y x)) (+ y x) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (* (/ z (- z y)) (+ x y)) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ (neg y) z) (neg z) (neg y))
2.0ms
z
@inf
((/ (* z (+ y x)) (- z y)) (* z (+ y x)) (+ y x) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (* (/ z (- z y)) (+ x y)) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ (neg y) z) (neg z) (neg y))
2.0ms
z
@0
((/ (* z (+ y x)) (- z y)) (* z (+ y x)) (+ y x) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (* (/ z (- z y)) (+ x y)) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ (neg y) z) (neg z) (neg y))
2.0ms
x
@0
((/ (* z (+ y x)) (- z y)) (* z (+ y x)) (+ y x) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (* (/ z (- z y)) (+ x y)) (* (/ z (- z y)) x) (/ z (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ x (- 1 (/ y z))) (- 1 (/ y z)) (/ (neg y) z) (neg z) (neg y))

simplify190.0ms (2.9%)

Memory
-32.5MiB live, 177.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04906538
115806077
246365798
082645539
Stop Event
iter limit
node limit
Counts
576 → 553
Calls
Call 1
Inputs
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* -1 y)
(- z y)
(- z y)
(- z y)
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 z)
(* z (- (* -1 (/ z y)) 1))
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
(* -1 (/ y z))
(/ (+ z (* -1 y)) z)
(/ (+ z (* -1 y)) z)
(/ (+ z (* -1 y)) z)
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (- (* -1 (/ x y)) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(* -1 (/ z y))
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
y
(+ y (/ (pow y 2) z))
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z)))
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2)))))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z))))
(* -1 (/ (* x z) y))
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(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
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(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
1
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(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2)))))
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(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
1
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(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
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(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(* z (+ x y))
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(* z (+ x y))
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z
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y
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(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)))
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1
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x
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1
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x
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1
(+ 1 (* -1 (/ y z)))
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x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
x
(+ x y)
(+ x y)
(+ x y)
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
y
(* y (+ 1 (/ y z)))
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))))
1
(+ 1 (* -1 (/ y z)))
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x
(+ x (* y (- 1 (* -1 (/ x z)))))
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(* -1 (/ (* z (+ x z)) y))
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y)
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y)
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y)
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
(* -1 (/ (* x z) y))
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
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x
(+ x (/ (* x y) z))
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1
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x
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x
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1
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(* -1 y)
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(* y z)
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y
(* y (+ 1 (/ x y)))
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(* -1 z)
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(* -1 z)
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(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y)
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
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rewrite259.0ms (3.9%)

Memory
-0.0MiB live, 269.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038192
052190
1212190
21682188
08686188
Stop Event
iter limit
node limit
iter limit
Counts
20 → 686
Calls
Call 1
Inputs
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
(*.f64 z (+.f64 y x))
(+.f64 y x)
(-.f64 z y)
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))
#s(approx (/ (- z y) z) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
(*.f64 (/.f64 z (-.f64 z y)) x)
(/.f64 z (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))))
(/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z)))
#s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 z)
(neg.f64 y)
Outputs
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eval282.0ms (4.2%)

Memory
21.6MiB live, 437.6MiB allocated
Compiler

Compiled 32 078 to 2 666 computations (91.7% saved)

prune120.0ms (1.8%)

Memory
6.4MiB live, 169.2MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New1 28731 290
Fresh156
Picked235
Done044
Total1 290151 305
Accuracy
100.0%
Counts
1 305 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.6%
(/.f64 (*.f64 z (+.f64 y x)) #s(approx (- z y) (neg.f64 y)))
38.6%
(/.f64 #s(approx (* z (+ y x)) (*.f64 x z)) (-.f64 z y))
17.9%
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
49.6%
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
50.7%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
49.8%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z))
18.1%
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
35.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
17.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
18.2%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 z) x)))))
17.5%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
18.3%
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y))))
49.1%
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
Compiler

Compiled 935 to 361 computations (61.4% saved)

regimes79.0ms (1.2%)

Memory
22.1MiB live, 64.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
(/.f64 #s(approx (* z (+ y x)) (*.f64 x z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (*.f64 z (+.f64 y x)) #s(approx (- z y) (neg.f64 y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 z) x)))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z)))))
(/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
Calls

4 calls:

47.0ms
z
10.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
10.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
90.0%1x
96.3%3y
96.9%3z
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes37.0ms (0.6%)

Memory
-19.1MiB live, 19.6MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
(/.f64 #s(approx (* z (+ y x)) (*.f64 x z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (*.f64 z (+.f64 y x)) #s(approx (- z y) (neg.f64 y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z)))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
Calls

1 calls:

36.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
(/.f64 #s(approx (* z (+ y x)) (*.f64 x z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (*.f64 z (+.f64 y x)) #s(approx (- z y) (neg.f64 y)))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
(/.f64 (*.f64 z (+.f64 y x)) (-.f64 z y))
Outputs
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))
Calls

1 calls:

5.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
99.8%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes27.0ms (0.4%)

Memory
-2.5MiB live, 33.2MiB allocated
Counts
13 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z))
(/.f64 #s(approx (* z (+ y x)) (*.f64 x z)) (-.f64 z y))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (*.f64 z (+.f64 y x)) #s(approx (- z y) (neg.f64 y)))
Outputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))
Calls

4 calls:

12.0ms
z
5.0ms
x
5.0ms
y
5.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
77.2%3x
83.2%5y
75.7%3z
72.1%5(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
8 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
Outputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
66.1%5z
65.1%4x
77.9%5y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes27.0ms (0.4%)

Memory
-28.3MiB live, 8.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)))
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z))
Outputs
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Calls

1 calls:

26.0ms
y
Results
AccuracySegmentsBranch
72.1%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
35.2%1z
35.2%1x
35.2%1(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
35.2%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9601985395361995e-279
0.0ms
-3.513891841983215e-257
-3.1989733480711136e-295
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9601985395361995e-279
0.0ms
-3.513891841983215e-257
-3.1989733480711136e-295
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9601985395361995e-279
0.0ms
-3.513891841983215e-257
-3.1989733480711136e-295
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch55.0ms (0.8%)

Memory
-24.4MiB live, 58.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.027039330481604e+53
3.3692265679903663e+56
8.0ms
1.9000662906716364e-42
1.195865332389296e-41
13.0ms
-3.023619900882202e-26
-3.217150316680161e-34
15.0ms
-4.668734217979801e+46
-1.0728468706758549e+42
Samples
28.0ms496×0valid
Compiler

Compiled 942 to 759 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 7.0ms (55.8% of total)
ival-add: 3.0ms (23.9% of total)
ival-sub: 2.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
2.2MiB live, 37.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.8281892344674592e+112
5.0140834702452574e+116
1.0ms
1.9000662906716364e-42
1.195865332389296e-41
1.0ms
-3.023619900882202e-26
-3.217150316680161e-34
10.0ms
-4.668734217979801e+46
-1.0728468706758549e+42
Samples
12.0ms240×0valid
Compiler

Compiled 862 to 711 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (51.3% of total)
ival-sub: 1.0ms (17.1% of total)
ival-add: 1.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.8281892344674592e+112
5.0140834702452574e+116
1.0ms
-4.668734217979801e+46
-1.0728468706758549e+42
Compiler

Compiled 412 to 366 computations (11.2% saved)

simplify57.0ms (0.9%)

Memory
26.4MiB live, 64.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064414
183412
2104412
3128412
4137412
5140412
6141412
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y))))
(if (<=.f64 y #s(literal -1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -8278036617694567/1427247692705959881058285969449495136382746624 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 7532522082464017/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 17500000000000000519396039778088108581907286668586516480 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))))
(if (<=.f64 y #s(literal -16999999999999999122786563474161721112998707200 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -8278036617694567/1427247692705959881058285969449495136382746624 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 7532522082464017/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 18000000000000000280069490330403174436827625144579105800655870447755008060965602658769737018470854058171713055621120 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))))
(if (<=.f64 y #s(literal -16999999999999999122786563474161721112998707200 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 18000000000000000280069490330403174436827625144579105800655870447755008060965602658769737018470854058171713055621120 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))
Outputs
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))))
(if (<=.f64 y #s(literal -1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -8278036617694567/1427247692705959881058285969449495136382746624 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 7532522082464017/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 17500000000000000519396039778088108581907286668586516480 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))))
(if (<=.f64 y #s(literal -16999999999999999122786563474161721112998707200 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal -8278036617694567/1427247692705959881058285969449495136382746624 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 7532522082464017/784637716923335095479473677900958302012794430558004314112 binary64)) #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 18000000000000000280069490330403174436827625144579105800655870447755008060965602658769737018470854058171713055621120 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))))
(if (<=.f64 y #s(literal -16999999999999999122786563474161721112998707200 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 18000000000000000280069490330403174436827625144579105800655870447755008060965602658769737018470854058171713055621120 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))

soundness797.0ms (12%)

Memory
-23.3MiB live, 471.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
15620
243220
3770520
0802520
0181958
1589915
21844852
37144833
08247790
08407871
126927418
080587164
029148
046146
1196146
21646146
08837146
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 803 to 289 computations (64% saved)

preprocess366.0ms (5.5%)

Memory
-46.3MiB live, 218.5MiB allocated
Compiler

Compiled 908 to 180 computations (80.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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