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
0.1MiB live, 0.1MiB 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)

sample828.0ms (26.1%)

Memory
4.5MiB live, 905.8MiB allocated
Samples
517.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-mult: 95.0ms (53.8% of total)
ival-sub: 72.0ms (40.8% of total)
ival-true: 6.0ms (3.4% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

explain74.0ms (2.3%)

Memory
36.1MiB live, 112.7MiB 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
47.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.9% of total)
ival-sub: 3.0ms (41.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (1.3%)

Memory
6.0MiB live, 44.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02148
16548
212548
326948
444148
549348
649548
055
075
1135
2255
3375
4525
5765
61165
71505
81925
92175
102335
02335
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)

eval21.0ms (0.7%)

Memory
-36.0MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune2.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB 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)

simplify8.0ms (0.3%)

Memory
14.8MiB live, 14.8MiB 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
715011
819211
921711
1023311
023311
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

localize20.0ms (0.6%)

Memory
-20.1MiB live, 27.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y z)
accuracy0.00390625
(-.f64 x (*.f64 y z))
Samples
16.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (66% of total)
ival-sub: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB 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))

simplify231.0ms (7.3%)

Memory
-9.7MiB live, 178.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032231
196231
2229231
3777231
42183231
53289231
64321231
75328231
86178231
96433231
106654231
117617231
08215231
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)

rewrite220.0ms (6.9%)

Memory
20.0MiB live, 273.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1268
21838
317078
084728
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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eval38.0ms (1.2%)

Memory
-8.5MiB live, 80.6MiB allocated
Compiler

Compiled 7 413 to 576 computations (92.2% saved)

prune7.0ms (0.2%)

Memory
-10.8MiB live, 27.9MiB 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)
51.2%
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify9.0ms (0.3%)

Memory
25.6MiB live, 25.6MiB 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
715928
819428
921928
1023528
023528
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

localize73.0ms (2.3%)

Memory
-23.1MiB live, 58.3MiB 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)
accuracy31.22569096849713
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Samples
67.0ms256×0valid
Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.3% of total)
ival-neg: 3.0ms (32.5% of total)
ival-sub: 1.0ms (10.8% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
15.3MiB live, 15.3MiB 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
y
@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
y
@0
((- x (* y z)) (* (neg z) y) (neg z) (+ (* (neg z) y) x))

simplify242.0ms (7.6%)

Memory
-19.5MiB live, 192.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042438
1140438
2329438
3959438
42566438
53497438
64560438
75676438
86395438
96663438
08341438
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)

rewrite334.0ms (10.5%)

Memory
-14.4MiB live, 183.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
01221
14821
233021
3359021
0864721
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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eval74.0ms (2.3%)

Memory
5.6MiB live, 87.2MiB allocated
Compiler

Compiled 7 560 to 814 computations (89.2% saved)

prune76.0ms (2.4%)

Memory
-5.9MiB live, 32.9MiB 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)
51.2%
#s(approx (- x (* y z)) (*.f64 (neg.f64 z) y))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes9.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB 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:

2.0ms
(-.f64 x (*.f64 y z))
2.0ms
y
2.0ms
x
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)

regimes8.0ms (0.3%)

Memory
7.6MiB live, 7.6MiB 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
z
2.0ms
y
2.0ms
x
2.0ms
(-.f64 x (*.f64 y z))
1.0ms
(*.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)

regimes7.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB 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:

1.0ms
z
1.0ms
(-.f64 x (*.f64 y z))
1.0ms
x
1.0ms
y
1.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
51.2%1x
51.2%1y
51.2%1z
51.2%1(-.f64 x (*.f64 y z))
51.2%1(*.f64 y z)
Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify42.0ms (1.3%)

Memory
-20.5MiB live, 19.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
12420
23220
33720
43920
Stop Event
saturated
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)))

soundness567.0ms (17.9%)

Memory
10.8MiB live, 128.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1268
21838
317078
084728
032231
196231
2229231
3777231
42183231
53289231
64321231
75328231
86178231
96433231
106654231
117617231
08215231
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 29 to 21 computations (27.6% saved)

preprocess235.0ms (7.4%)

Memory
17.4MiB live, 90.7MiB 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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