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

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample665.0ms (9.7%)

Memory
42.6MiB live, 1 003.1MiB allocated
Samples
437.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-mult: 154.0ms (66.6% of total)
ival-sub: 62.0ms (26.8% of total)
ival-true: 7.0ms (3% of total)
exact: 5.0ms (2.2% of total)
ival-assert: 4.0ms (1.7% of total)
Bogosity

explain72.0ms (1.1%)

Memory
-16.9MiB live, 143.0MiB 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
27.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (72.2% of total)
ival-sub: 2.0ms (18% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess48.0ms (0.7%)

Memory
-17.4MiB live, 41.2MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify14.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB 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
-19.2MiB live, 19.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.22265625
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
17.0ms256×0valid
Compiler

Compiled 40 to 16 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (79.3% of total)
ival-sub: 1.0ms (13.2% 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
5.8MiB live, 5.8MiB 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
@-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
y
@0
((- (* (* x 3) y) z) (* (* x 3) y) (* x 3))

simplify427.0ms (6.3%)

Memory
17.0MiB live, 54.4MiB 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))

rewrite682.0ms (10%)

Memory
0.4MiB live, 272.1MiB 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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eval38.0ms (0.6%)

Memory
18.0MiB live, 93.3MiB allocated
Compiler

Compiled 10 183 to 716 computations (93% saved)

prune11.0ms (0.2%)

Memory
-16.0MiB live, 28.7MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3235328
Fresh000
Picked011
Done000
Total3236329
Accuracy
100.0%
Counts
329 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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)))))
63.4%
(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)))))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
55.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 151 to 103 computations (31.8% saved)

simplify113.0ms (1.6%)

Memory
6.2MiB live, 116.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 y (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
cost-diff832
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
cost-diff512
(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)))))
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 y #s(literal 3 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029242
051240
1102240
2225240
3677240
42041240
53860240
65563234
08159232
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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
#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 (*.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)))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (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)
#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))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 y #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
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 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
(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 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(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)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (fma.f64 z z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) y) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y 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 x #s(literal 3 binary64)) y z)) (neg.f64 z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (fma.f64 z z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) y) #s(literal -1 binary64))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
y
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) (neg.f64 z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))

localize113.0ms (1.7%)

Memory
-4.9MiB live, 103.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.561983013627318
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy3.484354294734999
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy7.9131785439837
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy8.848771014673044
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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)))))
accuracy3.484354294734999
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy7.780498944189938
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy8.406112466060579
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy8.854298504904602
(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)))))
accuracy0
(*.f64 y x)
accuracy0.23046875
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy34.03351728118684
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
accuracy0
(neg.f64 z)
accuracy28.562670674704467
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0
(neg.f64 z)
accuracy0.10546875
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
Samples
72.0ms256×0valid
Compiler

Compiled 480 to 58 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 23.0ms (46.4% of total)
ival-div: 18.0ms (36.3% of total)
ival-add: 5.0ms (10.1% of total)
ival-neg: 2.0ms (4% of total)
ival-sub: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series115.0ms (1.7%)

Memory
-2.4MiB live, 114.0MiB allocated
Counts
19 → 504
Calls
Call 1
Inputs
#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 (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 (*.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))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (patch (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) #<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 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #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 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (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 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 (* -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 (*.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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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))))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (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 x) (taylor 0 z) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#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 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#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 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#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 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#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 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#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 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#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 (/ (+ (* -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)) (taylor -inf x) (#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 (/ (+ (* -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)) (taylor -inf x) (#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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
61.0ms
z
@0
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
9.0ms
y
@-inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
y
@inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
x
@inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
x
@-inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ y (+ (* y (* 3 x)) z)) (/ z (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify201.0ms (2.9%)

Memory
-0.4MiB live, 225.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08346296
126535707
084325473
Stop Event
iter limit
node limit
Counts
504 → 500
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)))
(/ 1/3 x)
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(* 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)))))
(* 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)))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (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)))))
(* (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)))))
(* -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 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)
(* z (- (* 3 (/ (* x y) z)) 1))
(* 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))
(* 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))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* 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))
(* 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))
(/ y z)
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
1
(+ 1 (* -3 (/ (* x y) z)))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(* 3 (/ y z))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 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 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)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(/ y z)
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(* 3 (/ y z))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(/ y z)
(* y (+ (* -3 (/ (* x y) (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (* 9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
(* y (+ (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* -9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
(* 3 (/ y z))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 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)
(* 3 y)
(* 3 y)
(* 3 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))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
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(- (* 3 (* x y)) z)
(* -1 z)
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(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
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(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
1
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(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
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(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
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(* 9 (* (pow x 2) y))
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(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
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(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
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(/ 1 x)
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(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
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(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
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(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
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(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
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(* 3 (* (pow x 2) y))
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(* 3 (* x y))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
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(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -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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Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
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(* -1 z)
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(* 3 (* x y))
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(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
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(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
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(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) x))
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(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1/3 binary64) x))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z)
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* 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)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(* 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)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 (/.f64 #s(literal 1/3 binary64) x) y)) z)
(/ 1 x)
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(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
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(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x)))) x)
(/ 1 x)
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(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
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(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
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(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (*.f64 z (/.f64 (/.f64 z x) x)) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 y x)) #s(literal 1 binary64))) x)
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(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
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(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
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(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x)))) x)
(* 3 (* x y))
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(* -1 (* x (+ (* -3 y) (/ z x))))
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(* -1 (* x (+ (* -3 y) (/ z x))))
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(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
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(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
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(* 3 (* x y))
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(* x y)
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(* x y)
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(* x y)
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(* 3 (* x y))
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(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (neg.f64 z) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x)))
(* 9 (* (pow x 2) y))
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y))
(* 9 (* (pow x 2) y))
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) y))
(* 9 (pow x 2))
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(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (neg.f64 z) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x)))
(* 3 (* (pow x 2) y))
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(* 3 (* (pow x 2) y))
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(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #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))
(* 3 x)
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(* 3 x)
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(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(/.f64 (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/9 binary64) #s(literal 1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/27 binary64))) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/27 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) (neg.f64 x))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z)
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64) (*.f64 (/.f64 z y) #s(literal -1/3 binary64))) (neg.f64 x))
(* -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))
(/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (-.f64 (*.f64 (/.f64 z y) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) y) (*.f64 z (/.f64 z y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) x)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) y) z) z)
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 x))
(* -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))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 x))
(* -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))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (/.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 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/27 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))

rewrite243.0ms (3.6%)

Memory
18.0MiB live, 335.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029165
051143
1186136
21240136
08544136
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 359
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(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 (*.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)))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 (*.f64 y #s(literal 3 binary64)) (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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eval726.0ms (10.6%)

Memory
-5.6MiB live, 534.7MiB allocated
Compiler

Compiled 81 716 to 3 668 computations (95.5% saved)

prune49.0ms (0.7%)

Memory
25.2MiB live, 142.1MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2 09742 101
Fresh000
Picked235
Done101
Total2 10072 107
Accuracy
100.0%
Counts
2 107 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
63.1%
(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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
55.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 72 to 64 computations (11.1% saved)

simplify127.0ms (1.9%)

Memory
-8.9MiB live, 106.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 y (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
cost-diff320
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
cost-diff0
(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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
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
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034255
054253
1102253
2215253
3643253
41849253
53231253
64589253
75630253
87035253
97684253
08006253
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
#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
(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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (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)
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 y #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
x
#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
(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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) x)) (*.f64 y y) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
y
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) x)) (*.f64 y y) (*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
y
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 y (fma.f64 (*.f64 x #s(literal 3 binary64)) y z)) #s(literal 3 binary64))
(*.f64 y #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize87.0ms (1.3%)

Memory
21.7MiB live, 137.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.561983013627318
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
accuracy7.9131785439837
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy8.848771014673044
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy28.248785203136144
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
accuracy7.780498944189938
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy8.406112466060579
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy8.854298504904602
(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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy28.248785203136144
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.22265625
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
accuracy34.03351728118684
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.21875
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy34.03351728118684
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Samples
54.0ms256×0valid
Compiler

Compiled 422 to 57 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 22.0ms (60.7% of total)
ival-add: 6.0ms (16.6% of total)
ival-div: 5.0ms (13.8% of total)
ival-sub: 1.0ms (2.8% of total)
ival-neg: 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)

series29.0ms (0.4%)

Memory
1.8MiB live, 39.7MiB allocated
Counts
18 → 468
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<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 (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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (patch (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) #<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 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x)) (taylor -inf x) (#s(alt (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
2.0ms
x
@-inf
((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
2.0ms
x
@inf
((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
y
@-inf
((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
x
@0
((- (* (* x 3) y) z) (* (* 3 y) x) (* 3 y) (- (* (* x 3) y) z) (* (* x 3) y) (* x 3) (+ (* (* (* 9 (* x x)) y) (/ y (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* 9 (* x x)) y) (* 9 (* x x)) (* x x) (+ (* (* (* y (* 3 x)) x) (/ (* y 3) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* (* y (* 3 x)) x) (* y (* 3 x)) (* 3 x) (/ z (+ (* y (* 3 x)) z)) (/ y (+ (* y (* 3 x)) z)) (/ (* y 3) (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify252.0ms (3.7%)

Memory
-2.1MiB live, 243.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08346071
126535494
084295266
Stop Event
iter limit
node limit
Counts
468 → 464
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 (* 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)))
(* 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)))))
(* 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)))))
(/ 1/3 x)
(+ (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x)))
(+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 2)))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 3)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/9 (/ 1 (* (pow x 2) y))))) (* 1/3 (/ 1 x)))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (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)))))
(* (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)))))
(* -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 (- (+ (* -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))
(* 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))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* 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))
(* 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))
1
(+ 1 (* -3 (/ (* x y) z)))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(/ y z)
(/ (+ y (* -3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* 9 (/ (* (pow x 2) (pow y 3)) (pow z 2)))) (* 3 (/ (* x (pow y 2)) z))) z)
(/ (- (+ y (* -27 (/ (* (pow x 3) (pow y 4)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 3)) (pow z 2))) (* 3 (/ (* x (pow y 2)) z)))) z)
(* 3 (/ y z))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 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)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(/ y z)
(* -1 (/ (+ (* -1 y) (* 3 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 3)) z)) (* 3 (* x (pow y 2)))) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 4)) z)) (* 9 (* (pow x 2) (pow y 3)))) z)) (* 3 (* x (pow y 2)))) z))) z))
(* 3 (/ y z))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
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(* 1/3 (/ (pow z 2) (* x y)))
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(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
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(- (* 3 (* x y)) z)
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(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
1
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(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
(/ y z)
(+ (* -3 (/ (* x (pow y 2)) (pow z 2))) (/ y z))
(+ (* x (- (* 9 (/ (* x (pow y 3)) (pow z 3))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(+ (* x (- (* x (- (* -27 (/ (* x (pow y 4)) (pow z 4))) (* -9 (/ (pow y 3) (pow z 3))))) (* 3 (/ (pow y 2) (pow z 2))))) (/ y z))
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
z
(+ z (* -3 (* x y)))
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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)) (* 3 y)))
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(* 3 (* x y))
(* 3 (* x y))
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(* 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)))))))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
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(* 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 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
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(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 2))))) (* 1/9 (/ z (* x y)))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow z 3) (* (pow x 3) (pow y 3))))) (+ (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* 1/9 (/ z (* x y))))) x)
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
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(* 3 x)
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(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* 9 (* (pow x 2) y))
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(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 1/3 (/ z (* x y)))
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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))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/ 1/3 x)
(* -1 (/ (- (* 1/9 (/ z (* x y))) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 2)))) (* 1/9 (/ z y))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) (* x (pow y 3)))) (* 1/27 (/ (pow z 2) (pow y 2)))) x)) (* 1/9 (/ z y))) x)) 1/3) x))
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -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))
(* -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))
Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
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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))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))
(* -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))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (/.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 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/27 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))

rewrite189.0ms (2.8%)

Memory
8.3MiB live, 225.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034172
054170
1169170
21042166
08801166
Stop Event
iter limit
node limit
iter limit
Counts
18 → 591
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#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))
(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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(/.f64 y (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
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eval297.0ms (4.4%)

Memory
-2.3MiB live, 350.2MiB allocated
Compiler

Compiled 34 583 to 1 991 computations (94.2% saved)

prune119.0ms (1.7%)

Memory
-6.7MiB live, 107.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 16611 167
Fresh000
Picked224
Done033
Total1 16861 174
Accuracy
100.0%
Counts
1 174 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
55.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 45 to 47 computations (-4.4% saved)

simplify185.0ms (2.7%)

Memory
-14.9MiB live, 60.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 y (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020113
028113
153113
2102113
3243113
4596113
51027113
61508113
71910113
82092113
92247113
102446113
112721113
122875113
132925113
142925113
153265113
163375113
173441113
183441113
193441113
203441113
213481113
223745113
03745107
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
z
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
y
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
x
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
z
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))

localize66.0ms (1%)

Memory
2.9MiB live, 81.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.561983013627318
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
accuracy8.848771014673044
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy28.248785203136144
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
accuracy33.98676447911438
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
Samples
39.0ms256×0valid
Compiler

Compiled 155 to 33 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 13.0ms (44.7% of total)
ival-mult: 9.0ms (30.9% of total)
ival-div: 5.0ms (17.2% of total)
ival-neg: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory
-9.3MiB live, 27.4MiB allocated
Counts
7 → 204
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
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#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (patch (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 #s(literal 3 binary64) x)) (patch (*.f64 y (*.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify250.0ms (3.7%)

Memory
23.7MiB live, 296.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06883178
121523072
270122963
087272818
Stop Event
iter limit
node limit
Counts
204 → 200
Calls
Call 1
Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* 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)))))
(* 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)))))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (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)))))
(* (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)))))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* 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))
(* 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))
(* 3 (/ y z))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
1
(+ 1 (* -3 (/ (* x y) z)))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* 3 (/ y z))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (/ y z))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* 1/3 (/ z (* x y)))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -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))
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ 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 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(* 1/3 (/ z (* x y)))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -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))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -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))
(* -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))
Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (*.f64 y y)) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) z (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) y))) z (/.f64 #s(literal 1 binary64) x))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z)
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* 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)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* 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)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z)
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z) z)
(* (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)))))
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))))
(* (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)))))
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 x x) y) y))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* 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))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z)) #s(literal 1 binary64)) z)
(* 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))
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))) #s(literal 1 binary64)) z)
(* 3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 3 binary64))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal -9 binary64) (*.f64 y #s(literal 3 binary64))) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) (*.f64 y (/.f64 y z)) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (*.f64 x x) z)) #s(literal 27 binary64) (*.f64 y #s(literal 3 binary64)))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -9 binary64) x) (*.f64 y (/.f64 y z)) (fma.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (*.f64 x x) z)) #s(literal 27 binary64) (*.f64 y #s(literal 3 binary64))))) z)
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64)))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(+.f64 z (*.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) z))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(*.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64))) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))
(* 3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 3 binary64))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) y (*.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal 9 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) x) y) y (/.f64 (fma.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 x x) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (neg.f64 z))) z))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z)
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(fma.f64 (neg.f64 z) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 y y) x) z)) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) z)
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(fma.f64 (neg.f64 z) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) y) y (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) z) (*.f64 (*.f64 #s(literal -3 binary64) y) x)) z) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #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))
(* 3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 3 binary64))
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(/.f64 (fma.f64 (*.f64 z (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y)) #s(literal 1/9 binary64) (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 (/.f64 z (*.f64 (*.f64 x x) y)) y)) #s(literal 1/9 binary64))) (fma.f64 (/.f64 z (*.f64 y x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) x)
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z)
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) x))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z)
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x))) x)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 z x)))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))
(* 3 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #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))
(* 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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64) (*.f64 (/.f64 z y) #s(literal -1/3 binary64))) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) x)) (neg.f64 x))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z)
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64) (*.f64 (/.f64 z y) #s(literal -1/3 binary64))) (neg.f64 x))
(* -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))
(/.f64 (fma.f64 (/.f64 z y) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 (/.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 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) x) (*.f64 (/.f64 (*.f64 z (/.f64 z y)) y) #s(literal 1/9 binary64))) x)) (neg.f64 x))
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z) z)
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 x))
(* -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))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 x))
(* -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))
(/.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 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/27 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))

rewrite440.0ms (6.4%)

Memory
-5.4MiB live, 247.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091
02891
19591
260891
3673891
0813486
Stop Event
iter limit
node limit
iter limit
Counts
7 → 183
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
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eval89.0ms (1.3%)

Memory
4.1MiB live, 120.4MiB allocated
Compiler

Compiled 11 675 to 1 133 computations (90.3% saved)

prune49.0ms (0.7%)

Memory
1.8MiB live, 37.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3830383
Fresh000
Picked011
Done055
Total3836389
Accuracy
100.0%
Counts
389 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
46.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
55.4%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 197 to 89 computations (54.8% saved)

regimes86.0ms (1.3%)

Memory
-19.6MiB live, 64.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) #s(approx (/ (* y 3) (+ (* y (* 3 x)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(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 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(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 (*.f64 y (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (*.f64 y #s(literal 3 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 y #s(literal 3 binary64)) x (neg.f64 z))
Calls

6 calls:

59.0ms
x
11.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
4.0ms
(*.f64 x #s(literal 3 binary64))
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.8%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes15.0ms (0.2%)

Memory
34.6MiB live, 34.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.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
(*.f64 x #s(literal 3 binary64))
2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.8%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.8%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes16.0ms (0.2%)

Memory
-15.8MiB live, 21.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
Calls

6 calls:

2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
z
2.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
y
Results
AccuracySegmentsBranch
76.2%3x
77.7%3y
73.5%3z
70.3%3(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
88.0%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
76.2%3(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#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
88.0%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Calls

1 calls:

1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
87.9%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes9.0ms (0.1%)

Memory
-21.1MiB live, 17.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Calls

6 calls:

3.0ms
z
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
55.4%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
55.4%1z
55.4%1x
55.4%1(*.f64 x #s(literal 3 binary64))
55.4%1y
55.4%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.9374433275263805e+73
2.536069175204073e+88
0.0ms
-1.048651124673066e+23
-67936893844.89133
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.9374433275263805e+73
2.536069175204073e+88
0.0ms
-1.048651124673066e+23
-67936893844.89133
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.9374433275263805e+73
2.536069175204073e+88
0.0ms
-1.048651124673066e+23
-67936893844.89133
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify29.0ms (0.4%)

Memory
11.5MiB live, 54.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031180
142180
245180
346180
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (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 -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #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 -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (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 -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x y) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #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 -99999999999999991611392 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 49999999999999997582409405901396098942598045401506677583603409881825017856 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness737.0ms (10.8%)

Memory
-27.5MiB live, 342.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029165
051143
1186136
21240136
08544136
0715
01015
12815
218415
3186215
0872315
038378
1118378
2334378
3838378
42379378
54087378
66030378
77461378
87976378
08001378
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 170 to 98 computations (42.4% saved)

preprocess165.0ms (2.4%)

Memory
7.5MiB live, 159.5MiB allocated
Compiler

Compiled 290 to 124 computations (57.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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