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

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample673.0ms (9.2%)

Memory
27.9MiB live, 974.4MiB allocated
Samples
438.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-mult: 167.0ms (75.9% of total)
ival-sub: 40.0ms (18.2% of total)
ival-true: 6.0ms (2.7% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain82.0ms (1.1%)

Memory
-32.3MiB live, 123.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
30.0ms512×0valid
Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69.7% of total)
ival-sub: 2.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess62.0ms (0.8%)

Memory
14.1MiB live, 50.8MiB allocated
Algorithm
egg-herbie
Rules
304×lower-fma.f64
304×lower-fma.f32
224×lower-*.f32
220×lower-*.f64
174×unsub-neg
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)
Symmetry

(sort x y)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify23.0ms (0.3%)

Memory
-6.1MiB live, 31.1MiB 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)
Rules
304×lower-fma.f64
304×lower-fma.f32
224×lower-*.f32
220×lower-*.f64
98×distribute-lft-neg-in
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)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

localize22.0ms (0.3%)

Memory
-1.8MiB live, 35.7MiB 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)
accuracy0.17578125
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
12.0ms256×0valid
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 (59.7% of total)
ival-sub: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB 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 (* -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 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 (*.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 (* -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 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 (*.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 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 (* 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 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 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 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 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 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) (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) (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) (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

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x 3)
1.0ms
y
@inf
(- (* (* x 3) y) z)
0.0ms
x
@0
(- (* (* x 3) y) z)
0.0ms
x
@inf
(- (* (* x 3) y) z)
0.0ms
y
@0
(* (* x 3) y)

simplify144.0ms (2%)

Memory
-0.3MiB live, 153.0MiB allocated
Algorithm
egg-herbie
Rules
3 582×lower-fma.f64
3 582×lower-fma.f32
2 750×lower-*.f64
2 750×lower-*.f32
1 560×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038378
1118378
2331378
3833378
42352378
54041378
65990378
77425378
87937378
08002378
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 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))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 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 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)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite438.0ms (6%)

Memory
-33.9MiB live, 456.2MiB allocated
Rules
10 502×lower-fma.f64
10 502×lower-fma.f32
4 312×lower-*.f32
4 308×lower-*.f64
3 816×lower-/.f64
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
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) (neg.f64 z))
(+.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 (*.f64 z z) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (*.f64 (*.f64 z z) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z))))) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (*.f64 (*.f64 z z) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z))))) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
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(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (*.f64 (*.f64 z z) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z) (*.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 z z))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))))
(*.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval42.0ms (0.6%)

Memory
-0.6MiB live, 79.3MiB allocated
Compiler

Compiled 15 517 to 700 computations (95.5% saved)

prune51.0ms (0.7%)

Memory
-3.6MiB live, 108.8MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3235328
Fresh000
Picked101
Done000
Total3245329
Accuracy
100.0%
Counts
329 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
99.9%
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
51.0%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 134 to 76 computations (43.3% saved)

simplify229.0ms (3.1%)

Memory
14.1MiB live, 279.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x y))
cost-diff0
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
cost-diff832
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(literal 3 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 x (*.f64 #s(literal 3 binary64) y))
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
Rules
4 578×lower-*.f32
4 562×lower-*.f64
4 350×lower-fma.f32
4 344×lower-fma.f64
3 732×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025163
043163
181163
2165161
3516161
41513161
53143161
65088158
77781158
08054157
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
x
(*.f64 #s(literal 3 binary64) (*.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
y
(/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
z
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(*.f64 z z)
Outputs
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (fma.f64 z z (/.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y #s(literal 9 binary64))))) #s(literal -1 binary64))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) y)))
x
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
y
(/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(*.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)
z
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z))
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))
(*.f64 z z)

localize77.0ms (1.1%)

Memory
5.0MiB live, 89.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.26171875
(*.f64 #s(literal 3 binary64) (*.f64 x y))
accuracy7.023748941274423
(/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
accuracy8.108016427058747
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
accuracy22.035799542124934
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
accuracy0
(*.f64 x y)
accuracy0.0078125
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
accuracy0.26171875
(*.f64 (*.f64 x y) #s(literal 3 binary64))
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.203125
(*.f64 x (*.f64 #s(literal 3 binary64) y))
accuracy31.26877343654196
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
accuracy0
(neg.f64 z)
accuracy31.65738620671344
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0
(neg.f64 z)
accuracy0.0859375
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
Samples
41.0ms256×0valid
Compiler

Compiled 164 to 25 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (55% of total)
ival-div: 3.0ms (11.8% of total)
ival-add: 3.0ms (11.8% of total)
ival-sub: 2.0ms (7.9% of total)
ival-neg: 2.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-8.4MiB live, 67.3MiB allocated
Counts
15 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #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 x (*.f64 #s(literal 3 binary64) y))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) y)) (patch (*.f64 x (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
5.0ms
z
@0
(+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z))))
2.0ms
y
@0
(/ (* 3 y) (+ (* 3 (* x y)) z))
1.0ms
y
@0
(+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z))))
1.0ms
x
@inf
(+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z))))
1.0ms
y
@inf
(+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z))))

simplify226.0ms (3.1%)

Memory
-12.8MiB live, 352.0MiB allocated
Algorithm
egg-herbie
Rules
6 752×lower-fma.f64
6 752×lower-fma.f32
4 708×lower-*.f64
4 708×lower-*.f32
2 256×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05693956
117693797
260273692
081523565
Stop Event
iter limit
node limit
Counts
408 → 404
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 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))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 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 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)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 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))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 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 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))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 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))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 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 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)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 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))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 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 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)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 3 (* x y))
(* -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)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(* 3 (* 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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* 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))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* 3 (/ y z))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* 3 (/ y z))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(* 3 (/ y z))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -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)
(neg.f64 z)
(* -1 z)
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(* -1 z)
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(* -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)
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* 3 (* x y))
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(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z))
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(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z))
(* -1 z)
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(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(* 3 (* x y))
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(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z #s(literal -1/3 binary64)) y) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/27 binary64)) (*.f64 x (*.f64 y (*.f64 y y))))) x)) x)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/27 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x))
(* 3 (/ y z))
(/.f64 (*.f64 #s(literal 3 binary64) y) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (*.f64 #s(literal 3 binary64) y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (*.f64 z z))) #s(literal -81 binary64)) (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y)))) z)
(* 3 (/ y z))
(/.f64 (*.f64 #s(literal 3 binary64) y) z)
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) z) (*.f64 y #s(literal -3 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))) z) (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y)))) z)) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 81 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))))) (neg.f64 z))) z)) (neg.f64 z))

rewrite821.0ms (11.2%)

Memory
15.8MiB live, 454.2MiB allocated
Rules
7 654×lower-fma.f32
7 648×lower-fma.f64
4 414×lower-*.f32
4 398×lower-*.f64
4 338×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025119
04397
115797
299097
0871397
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 278
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(*.f64 x #s(literal 3 binary64))
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
Outputs
(+.f64 (neg.f64 z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (neg.f64 z))
(+.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))))))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) z)
(-.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 z z (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (fma.f64 (*.f64 x x) (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (neg.f64 (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (neg.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z)))) (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) (fma.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (-.f64 (neg.f64 (*.f64 z z)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))) (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))) (fma.f64 (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (-.f64 (neg.f64 (*.f64 z z)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (-.f64 (neg.f64 (*.f64 z z)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (-.f64 (neg.f64 (*.f64 z z)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
(fma.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) y)))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x y) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 z #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 z (neg.f64 (/.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(fma.f64 z (/.f64 (neg.f64 z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(fma.f64 (neg.f64 z) (/.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) y)))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) (neg.f64 z))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (*.f64 x (*.f64 x (*.f64 #s(literal 3 binary64) y))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(fma.f64 (*.f64 z z) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)) #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
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(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 y y)))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 #s(literal 3 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) z) (*.f64 #s(literal 3 binary64) y)) #s(literal -1/2 binary64)))

eval321.0ms (4.4%)

Memory
20.1MiB live, 438.8MiB allocated
Compiler

Compiled 72 101 to 1 853 computations (97.4% saved)

prune243.0ms (3.3%)

Memory
24.4MiB live, 258.5MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 80241 806
Fresh000
Picked145
Done000
Total1 80381 811
Accuracy
100.0%
Counts
1 811 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
99.9%
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
88.8%
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
50.9%
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
51.0%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.0%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 92 to 58 computations (37% saved)

simplify226.0ms (3.1%)

Memory
-54.4MiB live, 147.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x y))
cost-diff0
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
cost-diff0
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
cost-diff0
(/.f64 z (neg.f64 x))
cost-diff0
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))
cost-diff0
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
cost-diff704
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x y))
cost-diff0
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
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))
Rules
4 630×lower-fma.f32
4 624×lower-fma.f64
3 314×lower-*.f32
3 300×lower-*.f64
1 376×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034191
051189
197189
2179189
3409187
4861187
51672187
63738187
75823187
87128187
97582187
107658187
117790187
08135187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
x
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))
#s(literal 3 binary64)
y
(/.f64 z (neg.f64 x))
z
(neg.f64 x)
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
x
(*.f64 #s(literal 3 binary64) (*.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
y
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
#s(approx (- (* (* x 3) y) z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z)))
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (neg.f64 z))
x
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))
(-.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 z x))
#s(literal 3 binary64)
y
(/.f64 z (neg.f64 x))
z
(neg.f64 x)
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(-.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 y (*.f64 x (*.f64 x #s(literal 3 binary64))))
x
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 x y)
y
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z)))
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
(/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal 3 binary64) y) z))
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) z)

localize165.0ms (2.3%)

Memory
1.6MiB live, 196.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.26171875
(*.f64 #s(literal 3 binary64) (*.f64 x y))
accuracy8.108016427058747
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
accuracy22.035799542124934
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
accuracy31.441023910191554
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
accuracy0
(neg.f64 x)
accuracy0
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
accuracy0.01953125
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))
accuracy7.1645924297928785
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
accuracy0
(*.f64 x y)
accuracy0.26171875
(*.f64 #s(literal 3 binary64) (*.f64 x y))
accuracy31.26877343654196
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.17578125
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
accuracy31.26877343654196
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Samples
99.0ms232×0valid
4.0ms10×2valid
4.0ms3valid
2.0ms1valid
Compiler

Compiled 172 to 28 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 47.0ms (51.5% of total)
ival-div: 33.0ms (36.1% of total)
ival-add: 4.0ms (4.4% of total)
ival-sub: 3.0ms (3.3% of total)
adjust: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
19.5MiB live, 54.3MiB allocated
Counts
15 → 432
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch #s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) (patch (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) (patch #s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) (patch (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 z (neg.f64 x)) (patch (/.f64 z (neg.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 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)) z) (taylor 0 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)) z) (taylor 0 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)) z) (taylor 0 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 #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #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 (* -1 z) (taylor 0 y) (#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)) z) (taylor 0 y) (#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)) z) (taylor 0 y) (#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)) z) (taylor 0 y) (#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 y) (#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 (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#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 (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#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 (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#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>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y z)) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z) (taylor inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -3 (/ (* x y) z)))) (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))) (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* 3 (/ (* x y) z)) 1))) (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1))) (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1))) (taylor -inf z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x) (taylor inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 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) (taylor inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x) (taylor inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (patch (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) #<representation binary64>) () ())) ())
Calls

108 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (+ (* 3 y) (/ z (neg x))))
0.0ms
z
@0
(* x (+ (* 3 y) (/ z (neg x))))
0.0ms
y
@0
(* x (+ (* 3 y) (/ z (neg x))))
0.0ms
x
@inf
(* x (+ (* 3 y) (/ z (neg x))))
0.0ms
z
@inf
(* x (+ (* 3 y) (/ z (neg x))))

simplify283.0ms (3.9%)

Memory
-14.6MiB live, 385.0MiB allocated
Algorithm
egg-herbie
Rules
6 950×lower-fma.f64
6 950×lower-fma.f32
4 878×lower-*.f64
4 878×lower-*.f32
2 136×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05834179
118154002
261803895
081533764
Stop Event
iter limit
node limit
Counts
432 → 428
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 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))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 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 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)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 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))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
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(+ (* -1 z) (* 3 (* x y)))
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(* -1 z)
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(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
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(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
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(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
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(* -1 z)
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(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
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(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
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(- (* 3 (* x y)) z)
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(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* x y))
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(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 3 (* x y))
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(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 3 (* x y))
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(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(* 3 (* 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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 3 (/ y z))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/ 1 x)
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(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
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(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
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(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
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(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
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z
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(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
z
(+ z (* -3 (* x y)))
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(* 1/3 (/ (pow z 2) (* x y)))
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(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
z
(+ z (* -3 (* x y)))
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(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
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Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 z x)) (neg.f64 x))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x y) z) z) (neg.f64 z))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (*.f64 z z))) #s(literal -81 binary64)) (fma.f64 (/.f64 (*.f64 y y) z) (*.f64 x #s(literal -9 binary64)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y)))) z)
(* 3 (/ y z))
(/.f64 (*.f64 #s(literal 3 binary64) y) z)
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(neg.f64 (/.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 y y))) z)) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(/.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x (*.f64 y y)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) z))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -9 binary64) (*.f64 x (*.f64 y y))) (/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -27 binary64) (*.f64 x x)))) z)) z)) (neg.f64 z))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 z (*.f64 z (fma.f64 #s(literal -1/9 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 z z) (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/27 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 y (*.f64 x x)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 z z) (fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/81 binary64) (/.f64 z (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/27 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(fma.f64 z (/.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y (*.f64 x x))) y) 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 z (*.f64 z (fma.f64 #s(literal -27 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))) (*.f64 z (*.f64 z z))) (/.f64 (fma.f64 x (*.f64 y #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y (*.f64 x x))) y) z)) z))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(fma.f64 z (/.f64 (*.f64 (*.f64 x y) #s(literal -3 binary64)) z) z)
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(fma.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) z)) (*.f64 #s(literal 3 binary64) (*.f64 x y))) z) (neg.f64 z) z)
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))) (/.f64 #s(literal 27 binary64) z))) z) (*.f64 #s(literal 3 binary64) (*.f64 x y))) z) (neg.f64 z) z)
z
(+ z (* -3 (* x y)))
(fma.f64 x (*.f64 y #s(literal -3 binary64)) z)
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(fma.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 y y))) z)) z)
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(fma.f64 x (fma.f64 x (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal -27 binary64) x) (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) z)) (*.f64 y #s(literal -3 binary64))) z)
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) x)) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 y (*.f64 x (*.f64 y y))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) y))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 y (*.f64 x (*.f64 y y))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) y)))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) y)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) y) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/27 binary64)) (*.f64 x (*.f64 y (*.f64 x (*.f64 y y))))))) (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 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) y) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 1/81 binary64)) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) x) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/9 binary64)) (*.f64 y y))) x)) (neg.f64 x))
z
(+ z (* -3 (* x y)))
(fma.f64 x (*.f64 y #s(literal -3 binary64)) z)
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(fma.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 y (*.f64 x x))) z)) z)
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(fma.f64 y (fma.f64 x #s(literal -3 binary64) (*.f64 y (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) z) (/.f64 (*.f64 (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 z z))))) z)
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) x)) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) x))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) x)))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) x)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) x) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 x x))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/27 binary64)) (*.f64 y (*.f64 x (*.f64 y (*.f64 x x))))))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 1/81 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) y) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/9 binary64)) (*.f64 x x))) y)) y))

rewrite441.0ms (6%)

Memory
16.5MiB live, 640.8MiB allocated
Rules
13 980×lower-fma.f32
13 974×lower-fma.f64
6 612×lower-*.f32
6 598×lower-*.f64
3 676×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034145
051145
1184145
21106145
09375145
Stop Event
iter limit
node limit
iter limit
Counts
15 → 409
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x))))
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))
(/.f64 z (neg.f64 x))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(neg.f64 x)
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(neg.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))
(neg.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 x))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(neg.f64 (*.f64 (neg.f64 x) y))
(neg.f64 (*.f64 y (neg.f64 x)))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal 1 binary64)) x)
(*.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (/.f64 z (neg.f64 x))))
(+.f64 (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (/.f64 z x)))
(-.f64 (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y)) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))) (/.f64 (*.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (*.f64 x x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z x)))))
(fma.f64 x (/.f64 z (neg.f64 x)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (*.f64 x (/.f64 z (neg.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 x (/.f64 z (neg.f64 x))))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 x (/.f64 z (neg.f64 x))))
(fma.f64 z (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 x (/.f64 z (neg.f64 x))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (*.f64 x (/.f64 z (neg.f64 x))))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) (*.f64 x (/.f64 z (neg.f64 x))))
(fma.f64 (neg.f64 x) (/.f64 z x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 z (neg.f64 x)) x (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 x (/.f64 z (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z (neg.f64 x))) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z x)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 z x) (neg.f64 x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 x (/.f64 z (neg.f64 x))) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
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eval186.0ms (2.5%)

Memory
25.9MiB live, 292.7MiB allocated
Compiler

Compiled 22 434 to 1 590 computations (92.9% saved)

prune125.0ms (1.7%)

Memory
-18.6MiB live, 277.2MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New9341935
Fresh000
Picked134
Done044
Total9358943
Accuracy
100.0%
Counts
943 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
99.9%
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
88.8%
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
50.9%
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
51.0%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.0%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 92 to 59 computations (35.9% saved)

simplify334.0ms (4.6%)

Memory
13.3MiB live, 188.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x y))
cost-diff0
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
cost-diff0
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
Rules
3 808×lower-fma.f32
3 806×lower-fma.f64
3 360×lower-*.f32
3 350×lower-*.f64
1 768×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024144
034144
167144
2144144
3316144
4654144
51055144
61480144
72117144
83343144
94026144
104316144
114589144
126004144
136601144
146858144
157093144
167107144
177113144
187119144
197123144
207123144
217123144
227647144
08283139
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
x
(*.f64 #s(literal 3 binary64) (*.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
y
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 (*.f64 z z) #s(literal 1/3 binary64))
(*.f64 z z)
z
#s(literal 1/3 binary64)
Outputs
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
(-.f64 (*.f64 (*.f64 x y) (*.f64 #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 3 binary64)))) #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
x
(*.f64 #s(literal 3 binary64) (*.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
y
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))
(neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y))))
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (*.f64 x y))
(*.f64 (*.f64 z z) #s(literal 1/3 binary64))
(*.f64 z (*.f64 z #s(literal 1/3 binary64)))
(*.f64 z z)
z
#s(literal 1/3 binary64)

localize68.0ms (0.9%)

Memory
20.6MiB live, 140.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy8.108016427058747
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
accuracy12.908008738166881
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
accuracy31.441023910191554
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
accuracy31.441614922200092
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))
Samples
49.0ms256×0valid
Compiler

Compiled 109 to 22 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-add: 13.0ms (34.4% of total)
ival-mult: 13.0ms (34.4% of total)
ival-div: 7.0ms (18.5% of total)
const: 4.0ms (10.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-5.2MiB live, 33.0MiB allocated
Counts
7 → 216
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (patch (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (*.f64 x y)) (patch (*.f64 #s(literal 3 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) (patch #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y))))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) (patch (fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) (patch (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ())
Calls

54 calls:

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

simplify470.0ms (6.4%)

Memory
-127.8MiB live, 337.4MiB allocated
Algorithm
egg-herbie
Rules
6 752×lower-fma.f64
6 752×lower-fma.f32
4 708×lower-*.f64
4 708×lower-*.f32
2 256×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05692804
117692693
260262588
081432485
Stop Event
iter limit
node limit
Counts
216 → 212
Calls
Call 1
Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 3 (* x y))
(* -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)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(* 3 (* 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 (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* 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))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* 3 (/ y z))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* 3 (/ y z))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(* 3 (/ y z))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
(* 1/3 (/ (pow z 2) (* x y)))
Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
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(/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) x)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x y))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) x))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x y))) (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) x)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/3 binary64)) x) (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x y))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/27 binary64)) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/81 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 x x)))) y) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/9 binary64)) (*.f64 x x))) y)) (neg.f64 y))
(* 3 (/ y z))
(/.f64 (*.f64 #s(literal 3 binary64) y) z)
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(*.f64 y (fma.f64 y (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 3 binary64) z)))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(*.f64 y (fma.f64 y (fma.f64 y (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z)))) (/.f64 #s(literal 3 binary64) z)))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z)))) (/.f64 #s(literal 3 binary64) z)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(fma.f64 #s(literal -1/27 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/27 binary64) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/9 binary64)) (*.f64 x (*.f64 x x)))) y) (/.f64 (*.f64 z #s(literal -1/3 binary64)) (*.f64 x x))) y))
(* 3 (/ y z))
(/.f64 (*.f64 #s(literal 3 binary64) y) z)
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(*.f64 y (fma.f64 y (*.f64 #s(literal -9 binary64) (/.f64 x (*.f64 z z))) (/.f64 #s(literal 3 binary64) z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 3 binary64) y) z))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -81 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -9 binary64) (*.f64 y y)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 3 binary64) y) z))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(/.f64 (+.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 z z) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 z #s(literal -1/3 binary64)) y)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 z #s(literal -1/3 binary64)) y) (/.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/27 binary64)) (*.f64 x (*.f64 y (*.f64 y y))))) x)) x)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 z (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/27 binary64) (/.f64 z (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 y (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) x))
(* 3 (/ y z))
(/.f64 (*.f64 #s(literal 3 binary64) y) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (*.f64 #s(literal 3 binary64) y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(/.f64 (fma.f64 #s(literal -81 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 y y) z)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 3 binary64) y)))) z)
(* 3 (/ y z))
(/.f64 (*.f64 #s(literal 3 binary64) y) z)
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(/.f64 (fma.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) z) (*.f64 y #s(literal -3 binary64))) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) z) #s(literal 27 binary64)) (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y)))) z)) (neg.f64 z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 #s(literal -9 binary64) (*.f64 y y))) (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 81 binary64)))) z)) z)) (neg.f64 z))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
(* 1/3 (/ (pow z 2) (* x y)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))

rewrite307.0ms (4.2%)

Memory
29.3MiB live, 348.3MiB allocated
Rules
8 430×lower-fma.f32
8 428×lower-fma.f64
6 118×lower-*.f32
6 108×lower-*.f64
3 266×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024105
034105
1118105
2747105
37341105
08179101
Stop Event
iter limit
node limit
iter limit
Counts
7 → 300
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 x y)
#s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))
#s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y))
Outputs
(+.f64 (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)))))
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(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 3 binary64) (*.f64 z z)))
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) x) y)
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) x) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) x) (neg.f64 y))
(/.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 x (*.f64 z z)) (neg.f64 y)))
(/.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 y) (/.f64 x (*.f64 z z))))
(/.f64 (/.f64 z x) (/.f64 y (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 z y) (/.f64 x (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 (*.f64 z z) y) (*.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 z (*.f64 z #s(literal 1/3 binary64)))))
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y) x)
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x y) #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) #s(literal 1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y)) x)
(/.f64 (*.f64 (/.f64 (*.f64 z z) x) #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (neg.f64 (*.f64 z z))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 z x) (*.f64 z #s(literal 1/3 binary64))) y)
(/.f64 (*.f64 (/.f64 z y) (*.f64 z #s(literal 1/3 binary64))) x)
(/.f64 (*.f64 (/.f64 (*.f64 z z) y) #s(literal 1/3 binary64)) x)
(/.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1/3 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 z #s(literal 1/3 binary64)))) x)
(/.f64 (*.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) y) (neg.f64 x))
(/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 x y))
(pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) #s(literal -1 binary64))
(*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(*.f64 z (*.f64 (*.f64 z #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 z (*.f64 (/.f64 (*.f64 z #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y (*.f64 z (*.f64 z #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(*.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) (*.f64 x y)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z z) x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (*.f64 z z) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (*.f64 z (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x y)))
(*.f64 (neg.f64 (*.f64 z z)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (neg.f64 y))))
(*.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 z z) x) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 (*.f64 z z) x) (/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 z z) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 z (*.f64 z #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (pow.f64 (/.f64 #s(literal 3 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (*.f64 z #s(literal 1/3 binary64)) (/.f64 z (*.f64 x y)))
(*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) (*.f64 z z))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (*.f64 z z)) (*.f64 x y)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z z) (*.f64 x (neg.f64 y))))
(*.f64 (neg.f64 z) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (neg.f64 z) (/.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 x (neg.f64 y))))
(*.f64 (/.f64 z x) (/.f64 (*.f64 z #s(literal 1/3 binary64)) y))
(*.f64 (/.f64 (*.f64 z #s(literal 1/3 binary64)) y) (/.f64 z x))
(*.f64 (/.f64 z y) (/.f64 (*.f64 z #s(literal 1/3 binary64)) x))
(*.f64 (/.f64 (*.f64 z #s(literal 1/3 binary64)) x) (/.f64 z y))
(*.f64 (/.f64 (*.f64 z z) y) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 z z) y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 z (*.f64 z #s(literal -1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) x))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))) z)
(*.f64 (/.f64 (*.f64 z z) (*.f64 x y)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 z #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1 binary64)) (pow.f64 (/.f64 x (*.f64 z #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 z z) (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 z #s(literal -1/3 binary64)) (*.f64 x y)))
(*.f64 (/.f64 z (neg.f64 x)) (/.f64 (*.f64 z #s(literal -1/3 binary64)) y))
(*.f64 (/.f64 z (neg.f64 y)) (/.f64 (*.f64 z #s(literal -1/3 binary64)) x))
(*.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (*.f64 z z) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 z z) (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 z z) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 x)) (/.f64 (neg.f64 (*.f64 z z)) y))
(*.f64 (/.f64 (neg.f64 (*.f64 z z)) y) (/.f64 #s(literal 1/3 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (/.f64 (neg.f64 (*.f64 z z)) x))
(*.f64 (/.f64 (neg.f64 (*.f64 z z)) x) (/.f64 #s(literal 1/3 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z (*.f64 z #s(literal -1/3 binary64))) x))
(*.f64 (/.f64 (neg.f64 (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 (*.f64 z #s(literal 1/3 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 (*.f64 z #s(literal 1/3 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal -1/3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 (*.f64 z #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 (*.f64 z #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) y)) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 z z) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) z) (/.f64 z x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) z) (*.f64 z #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 z #s(literal 1/3 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 1/3 binary64))) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))

eval75.0ms (1%)

Memory
3.8MiB live, 123.1MiB allocated
Compiler

Compiled 20 725 to 1 415 computations (93.2% saved)

prune132.0ms (1.8%)

Memory
-40.9MiB live, 133.8MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5550555
Fresh000
Picked011
Done077
Total5558563
Accuracy
100.0%
Counts
563 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
99.9%
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
99.8%
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
88.8%
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
50.9%
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
51.0%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
51.0%
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
50.5%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 222 to 93 computations (58.1% saved)

regimes24.0ms (0.3%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#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) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 (*.f64 x y) #s(literal 3 binary64)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
#s(approx (- (* (* x y) 3) z) (*.f64 x (fma.f64 #s(literal 3 binary64) y (/.f64 z (neg.f64 x)))))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (/ (* z z) (+ (* 3 (* x y)) z)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/3 binary64)) (*.f64 x y)))))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) #s(approx (/ (* 3 y) (+ (* 3 (* x y)) z)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x y))) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

4.0ms
z
4.0ms
x
4.0ms
(*.f64 x #s(literal 3 binary64))
4.0ms
y
4.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
99.9%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
99.9%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes16.0ms (0.2%)

Memory
-16.7MiB live, 21.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#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) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x y) 3) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
Calls

6 calls:

5.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
z
2.0ms
x
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
Results
AccuracySegmentsBranch
75.2%3x
77.0%3y
72.6%3z
67.1%5(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
82.9%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
75.2%3(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
Outputs
#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) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
Calls

1 calls:

1.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
82.9%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
z
1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
y
1.0ms
x
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
50.5%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
50.5%1z
50.5%1x
50.5%1(*.f64 x #s(literal 3 binary64))
50.5%1y
50.5%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 36 to 27 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7754515536460787e-31
6.734660830671654e-29
0.0ms
-9.157112606225885e-36
-2.5163976650780852e-42
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7754515536460787e-31
6.734660830671654e-29
0.0ms
-9.157112606225885e-36
-2.5163976650780852e-42
Compiler

Compiled 13 to 13 computations (0% saved)

simplify10.0ms (0.1%)

Memory
-32.1MiB live, 8.4MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024121
133121
236121
337121
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 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 178405961588245/356811923176489970264571492362373784095686656 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))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 x #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -7482888383134223/1496577676626844588240573268701473812127674924007424 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 178405961588245/356811923176489970264571492362373784095686656 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))

soundness849.0ms (11.6%)

Memory
24.5MiB live, 216.0MiB allocated
Rules
7 654×lower-fma.f32
7 648×lower-fma.f64
4 414×lower-*.f32
4 398×lower-*.f64
4 338×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038378
1118378
2331378
3833378
42352378
54041378
65990378
77425378
87937378
08002378
025119
04397
115797
299097
0871397
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 115 to 48 computations (58.3% saved)

preprocess56.0ms (0.8%)

Memory
3.8MiB live, 123.4MiB allocated
Remove

(sort x y)

Compiler

Compiled 230 to 92 computations (60% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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