Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

Time bar (total: 6.7s)

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 9 to 9 computations (0% saved)

sample630.0ms (9.4%)

Memory
10.2MiB live, 803.5MiB allocated
Samples
370.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 120.0ms (65.2% of total)
ival-sub: 49.0ms (26.6% of total)
ival-true: 6.0ms (3.3% of total)
exact: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain98.0ms (1.5%)

Memory
17.7MiB live, 99.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
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
58.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.3% of total)
ival-sub: 2.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess46.0ms (0.7%)

Memory
-11.4MiB live, 65.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
16963
216563
340763
477263
597063
6103063
7103063
077
0107
1167
2287
3367
4637
51067
61907
73127
84047
94297
104377
04377
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify14.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
cost-diff0
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11619
22819
33619
46319
510619
619019
731219
840419
942919
1043719
043719
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
z

localize21.0ms (0.3%)

Memory
-11.0MiB live, 27.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.01171875
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.1640625
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
16.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (79.1% of total)
ival-sub: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
y
@inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
x
@0
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
x
@-inf
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))
1.0ms
y
@0
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))

simplify135.0ms (2%)

Memory
-15.7MiB live, 61.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038378
1118378
2334378
3838378
42379378
54087378
66030378
77461378
87976378
08001378
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* y (+ (* -3 x) (/ z y))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

rewrite345.0ms (5.2%)

Memory
-134.5MiB live, 297.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12815
218415
3186215
0872315
Stop Event
iter limit
node limit
iter limit
Counts
3 → 256
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
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eval40.0ms (0.6%)

Memory
11.7MiB live, 84.5MiB allocated
Compiler

Compiled 10 183 to 716 computations (93% saved)

prune13.0ms (0.2%)

Memory
-1.9MiB live, 34.6MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3217328
Fresh000
Picked101
Done000
Total3227329
Accuracy
100.0%
Counts
329 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
51.8%
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
51.4%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
49.5%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
51.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 208 to 142 computations (31.7% saved)

simplify474.0ms (7.1%)

Memory
-11.9MiB live, 262.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
cost-diff0
(*.f64 y y)
cost-diff1408
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
026162
046162
185162
2141162
3291162
4717162
51725162
63173157
74412157
85412157
95467157
105481157
115484157
125702157
135751157
145751155
156377155
166645155
176647155
186647155
196647155
206647155
216647155
226917155
08197155
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(neg.f64 z)
z
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
x
y
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(neg.f64 z)
z
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) y (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) x) x)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (neg.f64 z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))

localize84.0ms (1.3%)

Memory
-9.0MiB live, 110.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.6366571808080655
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy3.13369877698718
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy13.69163530052888
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
accuracy18.711758142396906
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0
(neg.f64 z)
accuracy0.07421875
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
accuracy0
(*.f64 y x)
accuracy0.234375
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy32.22093914287414
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
accuracy0
(neg.f64 z)
accuracy30.951846592857912
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy0
(neg.f64 z)
accuracy0.0625
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
Samples
51.0ms256×0valid
Compiler

Compiled 165 to 30 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 23.0ms (65.1% of total)
ival-add: 5.0ms (14.2% of total)
ival-div: 4.0ms (11.3% of total)
ival-neg: 2.0ms (5.7% of total)
ival-sub: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.6%)

Memory
22.5MiB live, 61.1MiB allocated
Counts
15 → 396
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (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 (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z)) (patch (fma.f64 (*.f64 #s(literal 3 binary64) x) y (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 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@0
((+ (* (* 3 x) y) (neg z)) (* 3 x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
x
@0
((+ (* (* 3 x) y) (neg z)) (* 3 x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
y
@-inf
((+ (* (* 3 x) y) (neg z)) (* 3 x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
x
@inf
((+ (* (* 3 x) y) (neg z)) (* 3 x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
y
@inf
((+ (* (* 3 x) y) (neg z)) (* 3 x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify243.0ms (3.6%)

Memory
15.4MiB live, 297.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07024644
121744322
271994257
081704089
Stop Event
iter limit
node limit
Counts
396 → 392
Calls
Call 1
Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (/ x y))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(* 1/3 (/ z (* x y)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
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(* 1/3 (/ z (* x y)))
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(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
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(* 3 (/ x y))
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Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
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(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 z)
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(* -1 z)
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(* -1 z)
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(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
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(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) (neg.f64 x))

rewrite942.0ms (14.1%)

Memory
-34.5MiB live, 162.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026118
04698
116898
295491
0947091
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 151
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(*.f64 #s(literal 3 binary64) x)
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 y y)
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
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eval288.0ms (4.3%)

Memory
3.1MiB live, 399.5MiB allocated
Compiler

Compiled 52 028 to 2 320 computations (95.5% saved)

prune86.0ms (1.3%)

Memory
5.3MiB live, 121.8MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 62471 631
Fresh202
Picked145
Done000
Total1 627111 638
Accuracy
100.0%
Counts
1 638 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
73.1%
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
48.4%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
85.2%
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
49.5%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
49.5%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
49.6%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.4%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 177 to 148 computations (16.4% saved)

simplify183.0ms (2.7%)

Memory
28.5MiB live, 101.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
cost-diff0
#s(approx (- (* (* x 3) y) z) z)
cost-diff0
(/.f64 (neg.f64 z) x)
cost-diff0
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
cost-diff704
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
021114
032114
152114
270114
3103114
4201110
5320110
6571110
71015110
82441110
93814110
104620110
115226110
125791110
136179110
146505110
157413110
08017110
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
y
#s(literal 3 binary64)
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(*.f64 y x)
y
x
#s(literal 3 binary64)
z
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z)))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 y x) z))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(neg.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
y
#s(literal 3 binary64)
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(*.f64 y x)
y
x
#s(literal 3 binary64)
z

localize76.0ms (1.1%)

Memory
9.8MiB live, 83.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.09765625
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.15625
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
accuracy32.22093914287414
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.1640625
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
accuracy32.22093914287414
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
accuracy62.47355841963501
#s(approx (- (* (* x 3) y) z) z)
accuracy0
(neg.f64 z)
accuracy0
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
accuracy0.01953125
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
accuracy9.468839710149933
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
Samples
58.0ms242×0valid
2.0ms3valid
1.0ms1valid
1.0ms2valid
Compiler

Compiled 95 to 18 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 40.0ms (83.4% of total)
ival-div: 2.0ms (4.2% of total)
ival-add: 2.0ms (4.2% of total)
adjust: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory
-24.0MiB live, 61.9MiB allocated
Counts
14 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z x)) (* 3 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z x)) (* 3 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z x)) (* 3 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) 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>) () ())) ())
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#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) (patch (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z x)) (* 3 y)) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z x)) (* 3 y)) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z x)) (* 3 y)) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) (patch (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((* (+ (* y 3) (/ (neg z) x)) x) (- (* (* x 3) y) z) (+ (* y 3) (/ (neg z) x)) (/ (neg z) x) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) z) (* y x) (neg z))
7.0ms
y
@inf
((* (+ (* y 3) (/ (neg z) x)) x) (- (* (* x 3) y) z) (+ (* y 3) (/ (neg z) x)) (/ (neg z) x) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) z) (* y x) (neg z))
1.0ms
x
@inf
((* (+ (* y 3) (/ (neg z) x)) x) (- (* (* x 3) y) z) (+ (* y 3) (/ (neg z) x)) (/ (neg z) x) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) z) (* y x) (neg z))
1.0ms
x
@0
((* (+ (* y 3) (/ (neg z) x)) x) (- (* (* x 3) y) z) (+ (* y 3) (/ (neg z) x)) (/ (neg z) x) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) z) (* y x) (neg z))
1.0ms
x
@-inf
((* (+ (* y 3) (/ (neg z) x)) x) (- (* (* x 3) y) z) (+ (* y 3) (/ (neg z) x)) (/ (neg z) x) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (- (* (* x 3) y) z) (* (* y 3) x) (* y 3) (+ (* (* y x) 3) z) (* y x) (neg z))

simplify146.0ms (2.2%)

Memory
-11.4MiB live, 158.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712079
12202052
26712052
316742052
439752052
559572052
675132052
080112025
Stop Event
iter limit
node limit
Counts
384 → 380
Calls
Call 1
Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 y)
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 (/ z x))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
z
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (/ z x))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
z
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 (/ z x))
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
z
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 y)
(* y (+ 3 (* -1 (/ z (* x y)))))
(* y (+ 3 (* -1 (/ z (* x y)))))
(* y (+ 3 (* -1 (/ z (* x y)))))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* y (+ (* 3 x) (/ z y)))
(* y (+ (* 3 x) (/ z y)))
(* y (+ (* 3 x) (/ z y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 y)
(* -1 (* y (- (/ z (* x y)) 3)))
(* -1 (* y (- (/ z (* x y)) 3)))
(* -1 (* y (- (/ z (* x y)) 3)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 (/ z x))
(/ (+ (* -1 z) (* 3 (* x y))) x)
(/ (+ (* -1 z) (* 3 (* x y))) x)
(/ (+ (* -1 z) (* 3 (* x y))) x)
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
z
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 y)
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x (+ (* 3 y) (/ z x)))
(* x (+ (* 3 y) (/ z x)))
(* x (+ (* 3 y) (/ z x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 y)
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(+ (* -1 (/ z x)) (* 3 y))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* -1 (/ z x))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* z (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* z (- (* 3 (/ y z)) (/ 1 x)))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
z
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* -1 (* z (+ (* -3 (/ y z)) (/ 1 x))))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
z
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(+ (* -1 (/ z x)) (* 3 y))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
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(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite151.0ms (2.3%)

Memory
42.2MiB live, 271.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02199
03299
19899
259499
0877999
Stop Event
iter limit
node limit
iter limit
Counts
14 → 451
Calls
Call 1
Inputs
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
(fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x))
(/.f64 (neg.f64 z) x)
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 y #s(literal 3 binary64))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(*.f64 y x)
(neg.f64 z)
Outputs
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eval109.0ms (1.6%)

Memory
-2.2MiB live, 230.6MiB allocated
Compiler

Compiled 15 834 to 1 505 computations (90.5% saved)

prune176.0ms (2.6%)

Memory
-8.4MiB live, 67.4MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New8310831
Fresh022
Picked055
Done044
Total83111842
Accuracy
100.0%
Counts
842 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
73.1%
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
48.4%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
85.2%
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
49.5%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
49.5%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
49.6%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.4%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 100 to 87 computations (13% saved)

simplify503.0ms (7.5%)

Memory
-4.3MiB live, 164.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
cost-diff0
(*.f64 #s(literal 9 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)))
cost-diff1408
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
cost-diff0
(*.f64 (/.f64 x y) #s(literal 3 binary64))
cost-diff0
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029188
050188
197188
2180188
3346188
4567188
5813188
61029188
71816188
84002188
94728188
105425188
115481188
125490188
135533188
145748188
155794188
165794188
176806188
187402184
197446182
207529182
217597182
227601182
237605182
247605182
257645182
267661182
277661182
287661182
297965182
08125181
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 y y)
y
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
#s(literal 3 binary64)
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
z
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
(*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
x
(/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
z
(*.f64 y y)
(*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)
(/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
Outputs
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(fma.f64 (neg.f64 z) (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 y y)))
(*.f64 y y)
y
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
#s(literal 3 binary64)
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (neg.f64 z) (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
z
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z)
(*.f64 #s(literal 3 binary64) x)
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) #s(literal 9 binary64) (*.f64 z z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)))
(*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 x x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
x
(/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
(/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
z
(*.f64 y y)
(*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)
(/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))

localize105.0ms (1.6%)

Memory
24.7MiB live, 138.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.6366571808080655
(*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)
accuracy3.13369877698718
(/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
accuracy9.210943159971613
(/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
accuracy13.621335567149762
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
accuracy0.6366571808080655
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy3.13369877698718
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy13.69163530052888
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
accuracy23.885518074123844
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
Samples
83.0ms256×0valid
Compiler

Compiled 194 to 31 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 54.0ms (79% of total)
ival-div: 8.0ms (11.7% of total)
ival-add: 5.0ms (7.3% of total)
ival-neg: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory
-18.0MiB live, 63.3MiB allocated
Counts
12 → 372
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) (patch (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (patch (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) x) (patch (*.f64 #s(literal 9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())
#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())
#s(alt (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) (patch (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor 0 z) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) (taylor 0 z) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) (patch (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) (patch (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* x y)) (* z (- (* 2/3 (/ z (* x y))) 1))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) (patch (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (* x y)) (* z (- (* z (+ (* -2/9 (/ z (* (pow x 2) (pow y 2)))) (* 2/3 (/ 1 (* x y))))) 1))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) (patch (fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor 0 z) (#s(alt (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (patch (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) (taylor 0 z) (#s(alt (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (patch (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (patch (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (patch (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* 1/27 (/ z (* (pow x 2) (pow y 3)))) (* 1/9 (/ 1 (* x (pow y 2)))))) (* 1/3 (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 3) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 2) (pow y 3)))))) (* 1/9 (/ 1 (* x (pow y 2)))))) (* 1/3 (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) (patch (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) (patch (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) (patch (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) (patch (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) (patch (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* 9 (/ (pow x 2) z)) (taylor inf z) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z) (taylor inf z) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@0
((+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (+ (* (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* y y)) (* (/ z (+ (* (* y 3) x) z)) z)) (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* 9 x) (/ x (+ (* (* y 3) x) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))) (/ z (+ (* (* y 3) x) z)) (* (/ z (+ (* (* y 3) x) z)) z))
3.0ms
x
@0
((+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (+ (* (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* y y)) (* (/ z (+ (* (* y 3) x) z)) z)) (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* 9 x) (/ x (+ (* (* y 3) x) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))) (/ z (+ (* (* y 3) x) z)) (* (/ z (+ (* (* y 3) x) z)) z))
2.0ms
x
@inf
((+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (+ (* (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* y y)) (* (/ z (+ (* (* y 3) x) z)) z)) (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* 9 x) (/ x (+ (* (* y 3) x) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))) (/ z (+ (* (* y 3) x) z)) (* (/ z (+ (* (* y 3) x) z)) z))
2.0ms
x
@-inf
((+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (+ (* (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* y y)) (* (/ z (+ (* (* y 3) x) z)) z)) (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* 9 x) (/ x (+ (* (* y 3) x) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))) (/ z (+ (* (* y 3) x) z)) (* (/ z (+ (* (* y 3) x) z)) z))
2.0ms
y
@inf
((+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (+ (* (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* y y)) (* (/ z (+ (* (* y 3) x) z)) z)) (* (* 9 x) (/ x (+ (* (* y 3) x) z))) (* 9 x) (/ x (+ (* (* y 3) x) z)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))) (/ z (+ (* (* y 3) x) z)) (* (/ z (+ (* (* y 3) x) z)) z))

simplify187.0ms (2.8%)

Memory
-1.6MiB live, 222.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09857187
131236831
084406497
Stop Event
iter limit
node limit
Counts
372 → 360
Calls
Call 1
Inputs
(* 3 (* x y))
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(+ (* -1 z) (* 3 (* x y)))
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(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
z
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(* 9 x)
(* 9 x)
(* 9 x)
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(/ x z)
(* x (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(* x (+ (* x (- (* 9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z)))
(* x (+ (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* -9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z)))
1
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1
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(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 3 (/ x y))
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(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (/ x y))
(* 3 (* x y))
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(* 3 (/ x y))
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(* 9 x)
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(* 9 x)
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(/ 1/3 y)
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(* 1/3 (/ (pow z 2) (* x y)))
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Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
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(* 1/3 (/ z (* x y)))
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(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 z z) x)) (/.f64 z (*.f64 y y))) (neg.f64 x)) (/.f64 #s(literal 3 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) z) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 z (*.f64 y y))) x) #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) y)) (neg.f64 x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(+ (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y)))
(fma.f64 (/.f64 z (*.f64 (*.f64 y y) x)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) y))
(+ (* -1 (/ (- (* -1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) x) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/9 binary64) (/.f64 z (*.f64 y y)))) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* -1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y)))
(-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/27 binary64) z) z) (pow.f64 y #s(literal 3 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 z (*.f64 y y)))) x))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 z (*.f64 y x)) #s(literal 1/3 binary64))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
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(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
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(* 1/3 (/ (pow z 2) (* x y)))
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(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
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(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
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rewrite211.0ms (3.2%)

Memory
11.0MiB live, 179.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029144
050144
1182144
21025124
09084124
Stop Event
iter limit
node limit
iter limit
Counts
12 → 701
Calls
Call 1
Inputs
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 y y)
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
(*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)))
(*.f64 #s(literal 9 binary64) x)
(/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))
(*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z)
Outputs
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eval206.0ms (3.1%)

Memory
19.4MiB live, 248.0MiB allocated
Compiler

Compiled 38 634 to 3 084 computations (92% saved)

prune28.0ms (0.4%)

Memory
-0.4MiB live, 75.3MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1 07921 081
Fresh000
Picked202
Done099
Total1 081111 092
Accuracy
100.0%
Counts
1 092 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.2%
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 #s(approx (/ z (+ (* (* y 3) x) z)) #s(literal 1 binary64)) z))
74.2%
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
48.4%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
85.2%
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
49.5%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
49.5%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
49.6%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.4%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 311 to 148 computations (52.4% saved)

regimes38.0ms (0.6%)

Memory
-24.5MiB live, 59.4MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x))
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 #s(approx (/ z (+ (* (* y 3) x) z)) #s(literal 1 binary64)) z))
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 (*.f64 y #s(literal 3 binary64)) x z))) (*.f64 y y) (*.f64 (/.f64 z (fma.f64 (*.f64 y #s(literal 3 binary64)) x z)) z))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(fma.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
Calls

6 calls:

8.0ms
x
7.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
6.0ms
(*.f64 x #s(literal 3 binary64))
6.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes19.0ms (0.3%)

Memory
31.5MiB live, 31.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

3.0ms
x
3.0ms
z
3.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
y
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes18.0ms (0.3%)

Memory
-2.3MiB live, 36.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))
Calls

6 calls:

4.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
79.0%3x
71.7%3y
76.2%3z
67.7%3(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
81.0%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
79.0%3(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Calls

1 calls:

2.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
81.0%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes12.0ms (0.2%)

Memory
-14.4MiB live, 23.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Calls

6 calls:

3.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
51.6%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
51.6%1y
51.6%1z
51.6%1x
51.6%1(*.f64 x #s(literal 3 binary64))
51.6%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes9.0ms (0.1%)

Memory
-17.3MiB live, 21.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
Outputs
#s(approx (- (* (* x 3) y) z) z)
Calls

6 calls:

2.0ms
y
1.0ms
z
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
x
Results
AccuracySegmentsBranch
2.4%1y
2.4%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.4%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.4%1x
2.4%1z
2.4%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5903447971051407e-9
2.460087040564988e-8
0.0ms
-1.46065559501505e+117
-5.751598224693753e+111
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch55.0ms (0.8%)

Memory
16.9MiB live, 65.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
2.5903447971051407e-9
2.460087040564988e-8
9.0ms
-1.46065559501505e+117
-5.751598224693753e+111
Samples
34.0ms240×0valid
Compiler

Compiled 85 to 178 computations (-109.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (55.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify43.0ms (0.6%)

Memory
3.2MiB live, 40.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031137
140137
243137
344137
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6195744825524975/302231454903657293676544 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y #s(literal 3 binary64)) x))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 6195744825524975/302231454903657293676544 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

soundness752.0ms (11.3%)

Memory
6.1MiB live, 433.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12815
218415
3186215
0872315
038378
1118378
2334378
3838378
42379378
54087378
66030378
77461378
87976378
08001378
026118
04698
116898
295491
0947091
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 139 to 97 computations (30.2% saved)

preprocess56.0ms (0.8%)

Memory
22.3MiB live, 135.4MiB allocated
Remove

(sort x y)

Compiler

Compiled 232 to 124 computations (46.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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