Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

Time bar (total: 3.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 7 to 7 computations (0% saved)

sample769.0ms (24.1%)

Memory
54.8MiB live, 1 138.2MiB allocated
Samples
504.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 120.0ms (70.5% of total)
ival-sub: 42.0ms (24.7% of total)
ival-true: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain53.0ms (1.6%)

Memory
17.6MiB live, 91.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 x (*.f64 y z))
00-0-(*.f64 y z)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
22.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (66.3% of total)
ival-sub: 2.0ms (22.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess28.0ms (0.9%)

Memory
0.5MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02148
16548
213548
327948
445548
550648
651248
055
075
1135
2255
3375
4525
5765
61165
71535
82005
92265
102425
02425
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
Symmetry

(sort y z)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune8.0ms (0.3%)

Memory
-77.1MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 y z))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify10.0ms (0.3%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11311
22511
33711
45211
57611
611611
715311
820011
922611
1024211
024211
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
x
(*.f64 y z)
(*.f64 z y)
y
z

localize14.0ms (0.4%)

Memory
6.8MiB live, 6.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y z)
accuracy0.00390625
(-.f64 x (*.f64 y z))
Samples
10.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (57.8% of total)
ival-sub: 1.0ms (28.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
2 → 60
Calls
Call 1
Inputs
#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) y)) (taylor inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) y)) (taylor inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) y)) (taylor inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) z)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) z)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) z)) (taylor inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- x (* y z)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- x (* y z)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- x (* y z)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y z)) (patch (-.f64 x (*.f64 y z)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify175.0ms (5.5%)

Memory
22.8MiB live, 134.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032231
196231
2235231
3806231
42217231
53447231
64474231
75531231
86381231
96637231
106860231
117839231
08437231
Stop Event
iter limit
node limit
Counts
60 → 56
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
Outputs
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (- (/ x z) y))
(fma.f64 (neg.f64 z) y x)
(* z (- (/ x z) y))
(fma.f64 (neg.f64 z) y x)
(* z (- (/ x z) y))
(fma.f64 (neg.f64 z) y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(fma.f64 (neg.f64 z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(fma.f64 (neg.f64 z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(fma.f64 (neg.f64 z) y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (- (/ x y) z))
(fma.f64 (neg.f64 z) y x)
(* y (- (/ x y) z))
(fma.f64 (neg.f64 z) y x)
(* y (- (/ x y) z))
(fma.f64 (neg.f64 z) y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(fma.f64 (neg.f64 z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(fma.f64 (neg.f64 z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(fma.f64 (neg.f64 z) y x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(- x (* y z))
(fma.f64 (neg.f64 z) y x)
(- x (* y z))
(fma.f64 (neg.f64 z) y x)
(- x (* y z))
(fma.f64 (neg.f64 z) y x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 z) y x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 z) y x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 z) y x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 z) y x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 z) y x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 z) y x)

rewrite249.0ms (7.8%)

Memory
10.5MiB live, 277.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1268
21838
317078
084748
Stop Event
iter limit
node limit
iter limit
Counts
2 → 202
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
(*.f64 y z)
Outputs
#<batchref>
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eval30.0ms (1%)

Memory
0.3MiB live, 85.6MiB allocated
Compiler

Compiled 7 413 to 576 computations (92.2% saved)

prune8.0ms (0.3%)

Memory
-13.0MiB live, 23.7MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2562258
Fresh000
Picked101
Done000
Total2572259
Accuracy
100.0%
Counts
259 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (neg.f64 z) y x)
49.7%
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify9.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) y x)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01228
12528
23428
34728
46428
58628
612828
716228
820228
922828
1024428
024428
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(fma.f64 (neg.f64 z) y x)
(neg.f64 z)
z
y
x
Outputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- x (* y z)) (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 z) y)
(*.f64 y (neg.f64 z))
(neg.f64 z)
z
y
(fma.f64 (neg.f64 z) y x)
(fma.f64 y (neg.f64 z) x)
(neg.f64 z)
z
y
x

localize26.0ms (0.8%)

Memory
-20.2MiB live, 55.2MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (neg.f64 z) y x)
accuracy0
(neg.f64 z)
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy32.203571791066295
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Samples
16.0ms256×0valid
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (53.9% of total)
ival-sub: 1.0ms (13.5% of total)
ival-add: 1.0ms (13.5% of total)
ival-neg: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) y)) (taylor inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) y)) (taylor inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) y)) (taylor inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 y) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) (taylor -inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) (taylor -inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) (taylor -inf z) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ y (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ y (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ y (* -1 (/ x z))))) (taylor -inf z) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) z)) (taylor inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) z)) (taylor inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) z)) (taylor inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) (taylor -inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) (taylor -inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) (taylor -inf y) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* y z)) (taylor 0 x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* y z)) (taylor 0 x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* y z)) (taylor 0 x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) (patch #s(approx (- x (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) y x) (patch (fma.f64 (neg.f64 z) y x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- x (* y z)) (* (neg z) y) (neg z) (+ (* (neg z) y) x))
1.0ms
z
@inf
((- x (* y z)) (* (neg z) y) (neg z) (+ (* (neg z) y) x))
1.0ms
z
@0
((- x (* y z)) (* (neg z) y) (neg z) (+ (* (neg z) y) x))
0.0ms
z
@-inf
((- x (* y z)) (* (neg z) y) (neg z) (+ (* (neg z) y) x))
0.0ms
y
@0
((- x (* y z)) (* (neg z) y) (neg z) (+ (* (neg z) y) x))

simplify256.0ms (8%)

Memory
5.7MiB live, 211.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042438
1140438
2332438
31011438
42620438
53570438
64682438
75800438
86521438
96794438
08472438
Stop Event
iter limit
node limit
Counts
108 → 100
Calls
Call 1
Inputs
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
Outputs
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* z (- (/ x z) y))
(fma.f64 (neg.f64 y) z x)
(* z (- (/ x z) y))
(fma.f64 (neg.f64 y) z x)
(* z (- (/ x z) y))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* z (+ (* -1 y) (/ x z)))
(fma.f64 (neg.f64 y) z x)
(* z (+ (* -1 y) (/ x z)))
(fma.f64 (neg.f64 y) z x)
(* z (+ (* -1 y) (/ x z)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* z (+ y (* -1 (/ x z)))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* z (+ y (* -1 (/ x z)))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* z (+ y (* -1 (/ x z)))))
(fma.f64 (neg.f64 y) z x)
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (- (/ x y) z))
(fma.f64 (neg.f64 y) z x)
(* y (- (/ x y) z))
(fma.f64 (neg.f64 y) z x)
(* y (- (/ x y) z))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (+ (* -1 z) (/ x y)))
(fma.f64 (neg.f64 y) z x)
(* y (+ (* -1 z) (/ x y)))
(fma.f64 (neg.f64 y) z x)
(* y (+ (* -1 z) (/ x y)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* -1 (* y (+ z (* -1 (/ x y)))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y (+ z (* -1 (/ x y)))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y (+ z (* -1 (/ x y)))))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(- x (* y z))
(fma.f64 (neg.f64 y) z x)
(- x (* y z))
(fma.f64 (neg.f64 y) z x)
(- x (* y z))
(fma.f64 (neg.f64 y) z x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 y) z x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 y) z x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 y) z x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 y) z x)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 y) z x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 y) z x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (neg.f64 y) z x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 y) z x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 y) z x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (neg.f64 y) z x)

rewrite349.0ms (10.9%)

Memory
-1.4MiB live, 153.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
01221
14821
233021
3359721
0865721
Stop Event
iter limit
node limit
iter limit
Counts
4 → 256
Calls
Call 1
Inputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(fma.f64 (neg.f64 z) y x)
Outputs
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eval242.0ms (7.6%)

Memory
-8.5MiB live, 64.4MiB allocated
Compiler

Compiled 7 560 to 814 computations (89.2% saved)

prune143.0ms (4.5%)

Memory
0.5MiB live, 38.4MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4010401
Fresh000
Picked022
Done000
Total4012403
Accuracy
100.0%
Counts
403 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (neg.f64 z) y x)
49.7%
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes22.0ms (0.7%)

Memory
-17.6MiB live, 27.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(-.f64 x (*.f64 y z))
(fma.f64 (neg.f64 z) y x)
Outputs
(fma.f64 (neg.f64 z) y x)
Calls

5 calls:

14.0ms
x
2.0ms
y
2.0ms
(-.f64 x (*.f64 y z))
2.0ms
z
2.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 y z))
100.0%1(*.f64 y z)
Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes9.0ms (0.3%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
(-.f64 x (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))
Calls

5 calls:

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

Compiled 11 to 18 computations (-63.6% saved)

regimes86.0ms (2.7%)

Memory
-19.5MiB live, 19.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

80.0ms
y
1.0ms
x
1.0ms
(-.f64 x (*.f64 y z))
1.0ms
z
1.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
49.7%1x
49.7%1y
49.7%1z
49.7%1(-.f64 x (*.f64 y z))
49.7%1(*.f64 y z)
Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify110.0ms (3.4%)

Memory
29.6MiB live, 67.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
13020
25320
37220
410120
512720
626120
7331720
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Outputs
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 y z))
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- x (* y z)) (*.f64 y (neg.f64 z)))

soundness518.0ms (16.2%)

Memory
-41.1MiB live, 292.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032231
196231
2235231
3806231
42217231
53447231
64474231
75531231
86381231
96637231
106860231
117839231
08437231
058
078
1268
21838
317078
084748
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 29 to 21 computations (27.6% saved)

preprocess69.0ms (2.2%)

Memory
20.8MiB live, 140.2MiB allocated
Remove

(sort y z)

Compiler

Compiled 104 to 74 computations (28.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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