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

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 9 computations (0% saved)

sample785.0ms (11.2%)

Memory
30.1MiB live, 1 039.8MiB allocated
Samples
524.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-mult: 128.0ms (70.3% of total)
ival-sub: 39.0ms (21.4% of total)
ival-true: 7.0ms (3.8% of total)
exact: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain70.0ms (1%)

Memory
13.7MiB live, 91.1MiB 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
29.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (74.7% of total)
ival-sub: 2.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess403.0ms (5.8%)

Memory
-17.9MiB live, 20.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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

localize27.0ms (0.4%)

Memory
-28.0MiB live, 25.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.0078125
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.2421875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
18.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59% of total)
ival-sub: 1.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
2.0ms
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))

simplify103.0ms (1.5%)

Memory
30.2MiB live, 103.7MiB 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))

rewrite608.0ms (8.7%)

Memory
-25.9MiB live, 284.7MiB 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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eval39.0ms (0.6%)

Memory
8.6MiB live, 88.8MiB allocated
Compiler

Compiled 10 183 to 716 computations (93% saved)

prune43.0ms (0.6%)

Memory
-7.8MiB live, 31.3MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3217328
Fresh000
Picked011
Done000
Total3218329
Accuracy
100.0%
Counts
329 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
74.8%
(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)))))
99.9%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
61.9%
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
51.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
49.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 223 to 143 computations (35.9% saved)

simplify507.0ms (7.3%)

Memory
29.7MiB live, 260.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 14 (0.0ms)

IterNodesCost
026168
045168
185168
2145168
3323168
4750168
51733168
63196163
74318163
85227163
95287163
105302163
115305163
125519163
135572163
145572161
156309161
166633161
176635161
186635161
196635161
206635161
216635161
226905161
08209161
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 y x) #s(literal 3 binary64) (neg.f64 z))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(neg.f64 z)
z
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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)))))
y
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (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
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 x #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 y) #s(literal 3 binary64)))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(neg.f64 z)
z
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) y) y) x) x (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 x y) #s(literal 3 binary64) z))
y
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (/.f64 x (fma.f64 (*.f64 x y) #s(literal 3 binary64) z)) (*.f64 (*.f64 #s(literal 9 binary64) y) x))
(*.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
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 x y) #s(literal 3 binary64) 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 y) #s(literal 3 binary64) 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 y) #s(literal 3 binary64) z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 x y) #s(literal 3 binary64) z))

localize132.0ms (1.9%)

Memory
-19.3MiB live, 190.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.5580567974366494
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy2.708756852696508
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy10.047373615461558
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y)
accuracy18.220594613930533
(/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 z)
accuracy0.09375
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
accuracy0
(*.f64 y x)
accuracy0.26953125
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy30.770233163483443
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
accuracy0
(neg.f64 z)
accuracy32.26910266048346
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0
(neg.f64 z)
accuracy0.09375
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
Samples
50.0ms207×0valid
10.0ms29×1valid
7.0ms3valid
7.0ms14×2valid
Compiler

Compiled 171 to 29 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 21.0ms (47.7% of total)
ival-div: 6.0ms (13.6% of total)
ival-add: 6.0ms (13.6% of total)
ival-neg: 6.0ms (13.6% of total)
adjust: 3.0ms (6.8% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.7%)

Memory
17.6MiB live, 91.8MiB allocated
Counts
14 → 396
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 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (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 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 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 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (* 3 x)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 x) (* z (- (* 1/3 (/ z (* x (pow y 2)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 x) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@0
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
6.0ms
y
@-inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
6.0ms
x
@-inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
5.0ms
y
@0
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
x
@inf
((+ (* (* y 3) x) (neg z)) (* y 3) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (* y x) (+ (* (* y x) 3) (neg z)) (+ (* y (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (/ (* (* 9 (* x x)) y) (+ (* y (* 3 x)) z)) (* (* 9 (* x x)) y) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify161.0ms (2.3%)

Memory
26.1MiB live, 175.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06804493
121314330
270464227
086134066
Stop Event
iter limit
node limit
Counts
396 → 392
Calls
Call 1
Inputs
(* 3 (* x y))
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(* 1/3 (/ (pow z 2) (* x y)))
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(/ (+ (* -243 (/ (* (pow x 5) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2)))))) z)
1
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z
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(* -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)))))
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(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z))
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1
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z
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(- (* 3 (* x y)) z)
(* -1 z)
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(* y (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3)))))))))
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(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
1
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z
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(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
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(* (pow x 2) (+ (* -27 (/ (* x (pow y 2)) (pow z 2))) (* 9 (/ y z))))
(* (pow x 2) (+ (* 9 (/ y z)) (* x (+ (* -27 (/ (pow y 2) (pow z 2))) (* 81 (/ (* x (pow y 3)) (pow z 3)))))))
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(* 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))
1
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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))
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(* 3 x)
(* x (+ 3 (* -1 (/ z (* x y)))))
(* x (+ 3 (+ (* -1 (/ z (* x y))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2)))))))
(* x (+ 3 (+ (* -1 (/ z (* x y))) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 2))))))))
(* 9 (* (pow x 2) y))
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(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
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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)
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(* 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 y))
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(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
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(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -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 x)
(* -1 (* x (- (/ z (* x y)) 3)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* 1/3 (/ (pow z 2) (* x (pow y 2))))) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (+ (* -1/3 (/ (pow z 2) (pow y 2))) (* 1/9 (/ (pow z 3) (* x (pow y 3))))) x))) x)) 3)))
(* 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))
(* 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 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(+ (* -1 (/ z y)) (* 3 x))
(fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y))
(+ (* 3 x) (* z (- (* 1/3 (/ z (* x (pow y 2)))) (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 z x) (/.f64 #s(literal -1 binary64) y)) z (*.f64 x #s(literal 3 binary64)))
(+ (* 3 x) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 (* x (pow y 2)))))) (/ 1 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) x))) z (/.f64 #s(literal -1 binary64) y)) z (*.f64 x #s(literal 3 binary64)))
(* 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 z (*.f64 (*.f64 (*.f64 y y) x) x)) #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 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) 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 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) 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 z (*.f64 (*.f64 (*.f64 y y) x) x)) #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 x #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) 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 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) 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 (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) 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 (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -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 (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -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 (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -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 (*.f64 (*.f64 (*.f64 y y) x) x) z) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal -9 binary64) (*.f64 (*.f64 y x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 #s(literal 9 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) 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)
(* 9 (/ (* (pow x 2) y) z))
(*.f64 (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64)) y)
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (* 9 (* (pow x 2) y))) z)
(/.f64 (fma.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 x x) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z))) z)
(/ (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64)))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 4)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) (pow y 2)) z)) (+ (* 9 (* (pow x 2) y)) (* 81 (/ (* (pow x 4) (pow y 3)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 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 (*.f64 (*.f64 (*.f64 y y) x) x) z) #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) (*.f64 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 (* -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 (* -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)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)))
(* -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 (* -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)
(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 (* -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 (* -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)
(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 (* -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 (* -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)
(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)))
(* 9 (/ (* (pow x 2) y) z))
(*.f64 (*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64)) y)
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* 27 (/ (* (pow x 3) (pow y 2)) z))) z))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) (*.f64 x x) (*.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) z))) (neg.f64 z))
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* 81 (/ (* (pow x 4) (pow y 3)) z))) z))) z))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -9 (* (pow x 2) y)) (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 2))) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 3))) (* 243 (/ (* (pow x 5) (pow y 4)) z))) z))) z))) z))
(/.f64 (fma.f64 (*.f64 #s(literal -9 binary64) y) (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -81 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) z))) (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))
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(* 9 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
(* 9 (* (pow x 2) y))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
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(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
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(*.f64 (*.f64 (*.f64 x x) y) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
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(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
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(* 1/3 (/ z (* x y)))
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(/.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 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) (neg.f64 x))

rewrite205.0ms (2.9%)

Memory
-29.0MiB live, 304.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026121
045101
1167101
293494
0948494
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 172
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 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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 (*.f64 #s(literal 9 binary64) (*.f64 x x)) y) (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 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
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eval481.0ms (6.9%)

Memory
-7.7MiB live, 381.6MiB allocated
Compiler

Compiled 52 730 to 2 298 computations (95.6% saved)

prune104.0ms (1.5%)

Memory
0.2MiB live, 117.4MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 64551 650
Fresh202
Picked145
Done101
Total1 64991 658
Accuracy
100.0%
Counts
1 658 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
50.6%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
54.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
51.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
51.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
49.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.5%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 107 to 94 computations (12.1% saved)

simplify128.0ms (1.8%)

Memory
20.7MiB live, 170.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
cost-diff0
(*.f64 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))
cost-diff0
#s(approx (- (* (* x 3) y) z) z)
cost-diff0
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
cost-diff0
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
cost-diff2432
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023135
036133
167133
2139119
3474119
41996119
56029119
08425119
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
#s(literal 0 binary64)
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
#s(literal -3 binary64)
(*.f64 x y)
x
y
z
#s(approx (- (* (* x 3) y) z) z)
z
#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 y x) #s(literal 3 binary64) z)
(*.f64 y x)
y
x
#s(literal 3 binary64)
z
Outputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
(*.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
#s(literal 0 binary64)
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(*.f64 (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
#s(literal -3 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
z
#s(approx (- (* (* x 3) y) z) z)
z
#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))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z)
(*.f64 y x)
y
x
#s(literal 3 binary64)
z

localize66.0ms (1%)

Memory
12.1MiB live, 95.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.12109375
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.2421875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
accuracy30.770233163483443
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.20703125
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy30.770233163483443
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
accuracy62.404787619048335
#s(approx (- (* (* x 3) y) z) z)
accuracy0
(*.f64 x y)
accuracy0.09375
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
accuracy0.12109375
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
accuracy28.432812133645147
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
Samples
36.0ms256×0valid
Compiler

Compiled 132 to 22 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 15.0ms (68.8% of total)
ival-div: 2.0ms (9.2% of total)
ival-sub: 2.0ms (9.2% of total)
ival-add: 2.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
0.6MiB live, 38.6MiB allocated
Counts
14 → 408
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #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 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
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#s(alt (* 9 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (patch (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (patch (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #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 (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#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 (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify165.0ms (2.4%)

Memory
13.8MiB live, 162.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913022
16002972
218562872
345552824
083272696
Stop Event
iter limit
node limit
Counts
408 → 400
Calls
Call 1
Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -9 (* (pow x 2) (pow y 2)))
(- (* 6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2))))
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2))))
(* 9 (* (pow x 2) (pow y 2)))
(+ (* -6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y)))))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y)))))
(* -3 (* x y))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ 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 (pow z 2))
(* (pow z 2) (- (* 6 (/ (* x y) z)) 1))
(* (pow z 2) (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -6 (/ (* x y) z)))))
(* (pow z 2) (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -6 (/ (* x y) z)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -6 (/ (* x y) z))))
(* (pow z 2) (+ 1 (+ (* -6 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* (pow z 2) (+ 1 (+ (* -6 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (+ 1 (* -3 (/ (* x y) 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 (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
z
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* z (+ 1 (* 3 (/ (* x y) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (pow z 2))
(* (pow z 2) (- (* 6 (/ (* x y) z)) 1))
(* (pow z 2) (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)) 1))
(* (pow z 2) (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)) 1))
(pow z 2)
(* (pow z 2) (+ 1 (* -6 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
z
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 (pow z 2))
(- (* 6 (* x (* y z))) (pow z 2))
(- (* y (- (* -9 (* (pow x 2) y)) (* -6 (* x z)))) (pow z 2))
(- (* y (- (* -9 (* (pow x 2) y)) (* -6 (* x z)))) (pow z 2))
(pow z 2)
(+ (* -6 (* x (* y z))) (pow z 2))
(+ (* y (+ (* -6 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(+ (* y (+ (* -6 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
z
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x 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))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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))
z
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 6 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (- (* -1 (/ (pow z 2) (pow y 2))) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2)))))
(* (pow y 2) (- (* -1 (/ (pow z 2) (pow y 2))) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2)))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (+ (* 9 (pow x 2)) (/ (pow z 2) (pow y 2)))))
(* -3 (* x y))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -3 x) (/ z y)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 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))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* y (+ (* 3 x) (/ z y)))
(* y (+ (* 3 x) (/ z y)))
(* y (+ (* 3 x) (/ z y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 6 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (- (* -1 (/ (- (/ (pow z 2) y) (* 6 (* x z))) y)) (* 9 (pow x 2))))
(* (pow y 2) (- (* -1 (/ (- (/ (pow z 2) y) (* 6 (* x z))) y)) (* 9 (pow x 2))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -6 (/ (* x z) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 6 (* x z))) y)) (* 9 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 6 (* x z))) y)) (* 9 (pow x 2))))
(* -3 (* x y))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ z y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 (pow z 2))
(- (* 6 (* x (* y z))) (pow z 2))
(- (* x (- (* -9 (* x (pow y 2))) (* -6 (* y z)))) (pow z 2))
(- (* x (- (* -9 (* x (pow y 2))) (* -6 (* y z)))) (pow z 2))
(pow z 2)
(+ (* -6 (* x (* y z))) (pow z 2))
(+ (* x (+ (* -6 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
(+ (* x (+ (* -6 (* y z)) (* 9 (* x (pow y 2))))) (pow z 2))
z
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
z
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(+ z (* 3 (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 6 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (- (* -1 (/ (pow z 2) (pow x 2))) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (pow z 2) (pow x 2))) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2)))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (+ (* 9 (pow y 2)) (/ (pow z 2) (pow x 2)))))
(* -3 (* x y))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -3 y) (/ z x)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* x (+ (* 3 y) (/ z x)))
(* x (+ (* 3 y) (/ z x)))
(* x (+ (* 3 y) (/ z x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 6 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2))))
(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2))))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -6 (/ (* y z) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2))))
(* -3 (* x y))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 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))
(* -9 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64)) x)
(- (* 6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(*.f64 (*.f64 y (fma.f64 #s(literal 6 binary64) z (*.f64 (*.f64 #s(literal -9 binary64) x) y))) x)
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2))))
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)))
(- (* z (- (* -1 z) (* -6 (* x y)))) (* 9 (* (pow x 2) (pow y 2))))
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)))
(* 9 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 #s(literal 9 binary64) y) (*.f64 (*.f64 x x) y))
(+ (* -6 (* x (* y z))) (* 9 (* (pow x 2) (pow y 2))))
(*.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x)
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y)))))
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))
(+ (* 9 (* (pow x 2) (pow y 2))) (* z (+ z (* -6 (* x y)))))
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))
(* -3 (* x y))
(*.f64 (*.f64 #s(literal -3 binary64) y) x)
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) 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))
(+ (* -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))
(+ (* -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))
(+ (* -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))
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(+ z (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* 6 (/ (* x y) z)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 6 binary64) #s(literal -1 binary64)) z) z)
(* (pow z 2) (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -6 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 y z) (fma.f64 #s(literal 6 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal -9 binary64)) z)) #s(literal -1 binary64)) (*.f64 z z))
(* (pow z 2) (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* -6 (/ (* x y) z)))))
(*.f64 (fma.f64 (/.f64 y z) (fma.f64 #s(literal 6 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal -9 binary64)) z)) #s(literal -1 binary64)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -6 (/ (* x y) z))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -6 binary64) #s(literal 1 binary64)) z) z)
(* (pow z 2) (+ 1 (+ (* -6 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(*.f64 (fma.f64 (/.f64 x z) (fma.f64 #s(literal -6 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (+ (* -6 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(*.f64 (fma.f64 (/.f64 x z) (fma.f64 #s(literal -6 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) z)) #s(literal 1 binary64)) (*.f64 z z))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(* z (+ 1 (* -3 (/ (* x y) z))))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* z (- (* 3 (/ (* x y) z)) 1))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
z
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* z (+ 1 (* 3 (/ (* x y) z))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* 6 (/ (* x y) z)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 6 binary64) #s(literal -1 binary64)) z) z)
(* (pow z 2) (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)) 1))
(*.f64 (fma.f64 (/.f64 y z) (fma.f64 #s(literal 6 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal -9 binary64)) z)) #s(literal -1 binary64)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z)) 1))
(*.f64 (fma.f64 (/.f64 y z) (fma.f64 #s(literal 6 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) y) #s(literal -9 binary64)) z)) #s(literal -1 binary64)) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -6 (/ (* x y) z))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -6 binary64) #s(literal 1 binary64)) z) z)
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z))))
(*.f64 (fma.f64 (/.f64 x z) (fma.f64 #s(literal -6 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) z)) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 6 (* x y))) z))))
(*.f64 (fma.f64 (/.f64 x z) (fma.f64 #s(literal -6 binary64) y (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) z)) #s(literal 1 binary64)) (*.f64 z z))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
z
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* -1 (* z (- (* -3 (/ (* x y) z)) 1)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* -1 z)
(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 z) (* 3 (* x y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(- (* 6 (* x (* y z))) (pow z 2))
(*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 y x) (neg.f64 z)) z)
(- (* y (- (* -9 (* (pow x 2) y)) (* -6 (* x z)))) (pow z 2))
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)))
(- (* y (- (* -9 (* (pow x 2) y)) (* -6 (* x z)))) (pow z 2))
(neg.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z)))
(pow z 2)
(*.f64 z z)
(+ (* -6 (* x (* y z))) (pow z 2))
(*.f64 (fma.f64 #s(literal -6 binary64) (*.f64 y x) z) z)
(+ (* y (+ (* -6 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))
(+ (* y (+ (* -6 (* x z)) (* 9 (* (pow x 2) y)))) (pow z 2))
(fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 9 binary64) x) y (*.f64 #s(literal -6 binary64) z))) x (*.f64 z z))
z
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(+ z (* -3 (* x y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
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(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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)
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(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
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(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* x (+ (* 3 y) (/ z x)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* x (+ (* 3 y) (/ z x)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* x (+ (* 3 y) (/ z x)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* x y)
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(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(* -9 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -9 binary64)) x)
(* (pow x 2) (- (* 6 (/ (* y z) x)) (* 9 (pow y 2))))
(*.f64 (*.f64 y (fma.f64 #s(literal -9 binary64) y (*.f64 (/.f64 z x) #s(literal 6 binary64)))) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2))))
(neg.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 (/.f64 z x) #s(literal -6 binary64) (*.f64 #s(literal 9 binary64) y))) x) x (*.f64 z z)))
(* (pow x 2) (- (* -1 (/ (- (/ (pow z 2) x) (* 6 (* y z))) x)) (* 9 (pow y 2))))
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(* 9 (* (pow x 2) (pow y 2)))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2))))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* 6 (* y z))) x)) (* 9 (pow y 2))))
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(* -1 (* x (+ (* -3 y) (/ z x))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
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(fma.f64 (*.f64 x #s(literal 3 binary64)) y (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))
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(* 3 x)
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(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* -1 (* x (+ (* -3 y) (* -1 (/ z x)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y z)
(* x y)
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(* x y)
(*.f64 y x)
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(* x y)
(*.f64 y x)
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rewrite295.0ms (4.2%)

Memory
-25.1MiB live, 297.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023119
036102
1124102
291393
0949393
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 401
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(fma.f64 #s(literal -3 binary64) (*.f64 x y) z)
#s(approx (- (* (* x 3) y) z) z)
#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 y x) #s(literal 3 binary64) z)
(*.f64 y x)
(*.f64 x y)
Outputs
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eval341.0ms (4.9%)

Memory
42.7MiB live, 603.6MiB allocated
Compiler

Compiled 65 456 to 4 423 computations (93.2% saved)

prune57.0ms (0.8%)

Memory
12.6MiB live, 171.3MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2 16812 169
Fresh000
Picked145
Done044
Total2 16992 178
Accuracy
100.0%
Counts
2 178 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
50.6%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
51.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
51.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
49.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.5%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 53 to 60 computations (-13.2% saved)

simplify28.0ms (0.4%)

Memory
-6.7MiB live, 30.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -3 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
01531
12430
24130
37330
410530
512230
618830
729930
839130
941430
1043030
1144230
1245030
1347030
1464430
1589930
089930
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
#s(literal -1 binary64)
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
(*.f64 y #s(literal -3 binary64))
y
#s(literal -3 binary64)
x
z
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
(neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))
#s(literal -1 binary64)
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
(fma.f64 x (*.f64 #s(literal -3 binary64) y) z)
(*.f64 y #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) y)
y
#s(literal -3 binary64)
x
z

localize27.0ms (0.4%)

Memory
18.5MiB live, 55.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal -3 binary64))
accuracy0.09375
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
accuracy0.31126800336720567
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
Samples
20.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (51.2% of total)
ival-div: 3.0ms (25.6% of total)
ival-add: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-11.9MiB live, 29.2MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal -3 binary64)) (patch (*.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
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#s(alt (* -3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3 binary64)) (patch (*.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3 binary64)) (patch (*.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3 binary64)) (patch (*.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3 binary64)) (patch (*.f64 y #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 (/ (* x y) (pow z 2))) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -3 y) (/ z x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) (patch (fma.f64 (*.f64 y #s(literal -3 binary64)) x z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@0
((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3))
2.0ms
y
@inf
((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3))
1.0ms
x
@inf
((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3))
1.0ms
y
@0
((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3))
1.0ms
y
@-inf
((/ 1 (/ -1 (+ (* (* y -3) x) z))) (/ -1 (+ (* (* y -3) x) z)) (+ (* (* y -3) x) z) (* y -3))

simplify414.0ms (5.9%)

Memory
-79.9MiB live, 232.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621369
18011334
225581303
371771302
082831233
Stop Event
iter limit
node limit
Counts
120 → 116
Calls
Call 1
Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(/ 1/3 (* x y))
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))
(+ (* 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 (+ (* 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))))
(* -3 (* x y))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ 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)
(/ (- (* -3 (/ (* x y) z)) 1) z)
(/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z)
(/ (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z)
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* 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 (/ (+ 1 (* 3 (/ (* x y) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))) z))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z))
z
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(* -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)))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)
(* -3 (* x y))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -3 x) (/ z y)))
(* y (+ (* -3 x) (/ z y)))
(* -3 y)
(* -3 y)
(* -3 y)
(* -3 y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* 1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(* -3 (* x y))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -1 (* y (+ (* -1 (/ z y)) (* 3 x))))
(* -3 y)
(* -3 y)
(* -3 y)
(* -3 y)
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z))
z
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)
(* -3 (* x y))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -3 y) (/ z x)))
(* x (+ (* -3 y) (/ z x)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(* -3 (* x y))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
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))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y x))
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))
(/.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 x x) y)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)
(+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
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rewrite352.0ms (5%)

Memory
35.4MiB live, 229.6MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01027
01527
15125
229025
3259323
0852823
Stop Event
iter limit
node limit
iter limit
Counts
4 → 748
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z))
(fma.f64 (*.f64 y #s(literal -3 binary64)) x z)
(*.f64 y #s(literal -3 binary64))
Outputs
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eval231.0ms (3.3%)

Memory
-25.9MiB live, 244.4MiB allocated
Compiler

Compiled 25 950 to 2 054 computations (92.1% saved)

prune19.0ms (0.3%)

Memory
30.7MiB live, 70.0MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New8631864
Fresh000
Picked101
Done088
Total8649873
Accuracy
100.0%
Counts
873 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
50.6%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
99.9%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* y -3) x) z) (*.f64 #s(literal -3 binary64) (*.f64 y x)))))
51.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
51.7%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
49.6%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.5%
#s(approx (- (* (* x 3) y) z) z)
Compiler

Compiled 230 to 117 computations (49.1% saved)

regimes104.0ms (1.5%)

Memory
-51.6MiB live, 55.6MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #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)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(-.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 y x) #s(literal 3 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* y -3) x) z) (*.f64 #s(literal -3 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y #s(literal -3 binary64)) x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) 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)))))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
Outputs
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
Calls

6 calls:

66.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
16.0ms
x
5.0ms
(*.f64 x #s(literal 3 binary64))
5.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
5.0ms
z
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes19.0ms (0.3%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #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)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

3.0ms
y
3.0ms
x
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
3.0ms
z
3.0ms
(*.f64 x #s(literal 3 binary64))
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)

regimes39.0ms (0.6%)

Memory
-6.4MiB live, 31.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #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)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) z)
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

6 calls:

24.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
3.0ms
z
3.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
77.4%3x
78.6%3y
70.7%3z
69.1%5(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
86.5%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
77.4%3(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes42.0ms (0.6%)

Memory
-12.4MiB live, 25.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Calls

6 calls:

32.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
49.6%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
49.6%1z
49.6%1x
49.6%1(*.f64 x #s(literal 3 binary64))
49.6%1y
49.6%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
z
1.0ms
y
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
x
Results
AccuracySegmentsBranch
2.5%1y
2.5%1z
2.5%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.5%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.5%1x
2.5%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.072478270898652e-16
3.1155262692759636e-15
0.0ms
-3.3622075207291207e+43
-9.225895395713742e+35
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify30.0ms (0.4%)

Memory
3.8MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02485
13385
23685
33785
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 -20000000000000000278744233918828198261424128 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 2535301200456459/2535301200456458802993406410752 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))
#s(approx (- (* (* x 3) y) z) 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 -20000000000000000278744233918828198261424128 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 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #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 -20000000000000000278744233918828198261424128 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

soundness724.0ms (10.4%)

Memory
8.7MiB live, 390.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
12815
218415
3186215
0872315
026121
045101
1167101
293494
0948494
038378
1118378
2334378
3838378
42379378
54087378
66030378
77461378
87976378
08001378
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 84 to 60 computations (28.6% saved)

preprocess113.0ms (1.6%)

Memory
-5.0MiB live, 123.2MiB allocated
Compiler

Compiled 170 to 110 computations (35.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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