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

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 9 computations (0% saved)

sample753.0ms (12.2%)

Memory
-167.0MiB live, 800.1MiB allocated
Samples
503.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 326.0ms
ival-mult: 271.0ms (83.2% of total)
ival-sub: 41.0ms (12.6% of total)
ival-true: 6.0ms (1.8% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain97.0ms (1.6%)

Memory
-13.4MiB live, 105.5MiB 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
56.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.7% of total)
ival-sub: 2.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess45.0ms (0.7%)

Memory
23.2MiB live, 61.9MiB 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)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify17.0ms (0.3%)

Memory
-20.9MiB live, 16.9MiB 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)
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y
z

localize16.0ms (0.3%)

Memory
26.0MiB live, 26.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
accuracy0.19140625
(*.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 (59.6% 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)

series13.0ms (0.2%)

Memory
-26.1MiB live, 14.8MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify104.0ms (1.7%)

Memory
17.0MiB live, 91.0MiB allocated
Algorithm
egg-herbie
Rules
3 552×lower-fma.f64
3 552×lower-fma.f32
2 734×lower-*.f64
2 734×lower-*.f32
1 562×div-sub
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite211.0ms (3.4%)

Memory
35.1MiB live, 302.3MiB 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 (pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z) (fma.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 z (-.f64 z (*.f64 y (*.f64 #s(literal 3 binary64) x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 z z (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 2 binary64)) #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) #s(literal 19683 binary64) (pow.f64 z #s(literal 9 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 729 binary64) (fma.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))))))
(*.f64 (fma.f64 z z (neg.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) z))))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (*.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (*.f64 #s(literal 3 binary64) x) z) #s(literal 2 binary64))))
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eval47.0ms (0.8%)

Memory
-30.4MiB live, 85.3MiB allocated
Compiler

Compiled 10 183 to 716 computations (93% saved)

prune9.0ms (0.2%)

Memory
32.7MiB live, 32.7MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3226328
Fresh000
Picked011
Done000
Total3227329
Accuracy
100.0%
Counts
329 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
52.1%
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
50.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
50.0%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Compiler

Compiled 165 to 115 computations (30.3% saved)

simplify463.0ms (7.5%)

Memory
12.7MiB live, 278.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
cost-diff0
(*.f64 y y)
cost-diff1408
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
Rules
30 832×lower-fma.f32
30 824×lower-fma.f64
3 992×lower-*.f32
3 976×lower-*.f64
1 472×distribute-lft-neg-in
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
026162
045162
185162
2141162
3292162
4720162
51715162
63167157
74400157
85404157
95459157
105473157
115476157
125694157
135743157
145743155
156369155
166637155
176639155
186639155
196639155
206639155
216639155
226909155
08076155
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(neg.f64 z)
z
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
Outputs
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 #s(literal 3 binary64) x) y (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
x
(neg.f64 z)
z
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) y) y (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) #s(literal 9 binary64)) x)
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) y) x z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (neg.f64 z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))

localize141.0ms (2.3%)

Memory
-47.2MiB live, 176.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.9897291048045682
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
accuracy2.710453144795015
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy15.484962330681043
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
accuracy16.251692900637927
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0
(neg.f64 z)
accuracy0.12109375
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
accuracy0
(*.f64 y x)
accuracy0.20703125
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy31.35513543247964
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
accuracy0
(neg.f64 z)
accuracy32.02409175721339
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 z)
accuracy0.1015625
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
Samples
121.0ms256×0valid
Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 59.0ms (81.8% of total)
ival-add: 6.0ms (8.3% of total)
ival-div: 3.0ms (4.2% of total)
ival-neg: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.7%)

Memory
9.3MiB live, 86.8MiB allocated
Counts
14 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())
Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) (patch (fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) (patch (fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) (patch (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
z
@0
((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
y
@0
((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
4.0ms
x
@0
((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
y
@-inf
((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
3.0ms
x
@inf
((+ (* (* y x) 3) (neg z)) (* y x) (neg z) (- (* (* x 3) y) z) (- (* (* x 3) y) z) (* (* y x) 3) (+ (* (* y 3) x) (neg z)) (* y 3) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* 9 (* x x)) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify200.0ms (3.2%)

Memory
-3.1MiB live, 151.9MiB allocated
Algorithm
egg-herbie
Rules
8 282×lower-fma.f64
8 282×lower-fma.f32
5 250×lower-*.f64
5 250×lower-*.f32
2 922×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07024608
121744286
271994221
081704053
Stop Event
iter limit
node limit
Counts
384 → 380
Calls
Call 1
Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (/ x y))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(* 1/3 (/ z (* x y)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(* 9 (/ (pow x 2) z))
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z)
1
(+ 1 (* -3 (/ (* x y) z)))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* 9 (/ (pow x 2) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 9 (/ (pow x 2) z))
(+ (* -27 (/ (* (pow x 3) y) (pow z 2))) (* 9 (/ (pow x 2) z)))
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 81 (/ (* (pow x 4) y) (pow z 3))))))
(+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* y (+ (* -243 (/ (* (pow x 5) y) (pow z 4))) (* 81 (/ (pow x 4) (pow z 3))))))))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* y (- (* 9 (/ (* (pow x 2) y) (pow z 2))) (* 3 (/ x z)))))
(+ 1 (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))) (* 3 (/ x z)))))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (/ x y))
(/ (+ (* -1 (/ z y)) (* 3 x)) y)
(/ (+ (* -1 (/ z y)) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x))) y)
(/ (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/3 (/ (pow z 2) (* x (pow y 2)))) (* 3 x)))) y)
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* (pow x 2) y))) (* 1/3 (/ z x))) y)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z x))) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (* 1/3 (/ z x))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 2) (* (pow x 2) y))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (/ x y))
(* -1 (/ (+ (* -3 x) (/ z y)) y))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 1/3 (/ (pow z 2) (* x y)))) y))) y))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) y))
(* 1/3 (/ z (* x y)))
(* -1 (/ (+ (* -1/3 (/ z x)) (* 1/9 (/ (pow z 2) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -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)
(* 9 (/ (pow x 2) z))
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 z))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* x (- (* 9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))))
(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* 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))
(* x (+ (* -1 (/ z (* x (pow y 2)))) (* 3 (/ 1 y))))
(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2)))))
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 1/3 (/ z (* x y)))
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* 3 (/ x y))
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 1/3 (/ z (* x y)))
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
Outputs
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(* 3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(/.f64 (fma.f64 x #s(literal 3 binary64) (/.f64 (neg.f64 z) y)) y)
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(fma.f64 (/.f64 #s(literal 3 binary64) y) x (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z x) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 z x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z)
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))) z)
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 z z) (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 z (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y x))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(*.f64 (*.f64 z z) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 y y) x) x))) z (/.f64 #s(literal 1/3 binary64) (*.f64 y x))))
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal 3 binary64) #s(literal -1 binary64)) z)
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z) (fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 y (/.f64 y (*.f64 z z))) #s(literal -1 binary64))) z)
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z)) (fma.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 y (/.f64 y (*.f64 z z)))))) z (neg.f64 z))
(* 9 (/ (pow x 2) z))
(*.f64 (/.f64 (*.f64 x x) z) #s(literal 9 binary64))
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z)
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal -27 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (/.f64 y (*.f64 z z))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal -27 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z)
(/.f64 (fma.f64 (*.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (/.f64 y (*.f64 z z))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal -27 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))) z)
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (* x y) z)))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z) #s(literal 1 binary64))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
(-.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) z)
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(+.f64 z (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) 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 (-.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 y y) z))) z)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (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 (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 y x) z) #s(literal 1 binary64)) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
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(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(*.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) y (/.f64 (-.f64 z (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) x)))
(* 3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z (*.f64 y x)) y) (/.f64 #s(literal 3 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (/.f64 (/.f64 (neg.f64 z) y) y)) x) (/.f64 #s(literal 3 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 z z)) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 3 binary64) y)) x)
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z)
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) x) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal 1/9 binary64))) x)) (neg.f64 x))
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) (neg.f64 x))

rewrite930.0ms (15%)

Memory
1.2MiB live, 240.1MiB allocated
Rules
4 098×lower-fma.f32
4 090×lower-fma.f64
3 124×lower-*.f32
3 108×lower-*.f64
2 264×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026115
04595
116895
295488
0945388
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 149
Calls
Call 1
Inputs
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
(*.f64 y x)
(neg.f64 z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(*.f64 y #s(literal 3 binary64))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(*.f64 y y)
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (pow.f64 (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))))))
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 3 binary64))) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) z)))))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (fma.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -9 binary64) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
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(*.f64 (*.f64 z z) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 1 binary64))
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)
(*.f64 z (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)))
(pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64))
(/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) x z) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) (*.f64 z z)))
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 z z) (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))
(/.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 3 binary64) y) x z))
(/.f64 z (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z))
(neg.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z))
(fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(fma.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(+.f64 (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) #s(literal 0 binary64)) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))
(+.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z))
(+.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) z) (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x y) z) z) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) y)))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))))
(+.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z (fma.f64 #s(literal -3 binary64) (*.f64 x y) z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (fma.f64 (*.f64 #s(literal 3 binary64) y) x z)) z))

eval214.0ms (3.5%)

Memory
41.5MiB live, 456.0MiB allocated
Compiler

Compiled 51 344 to 2 307 computations (95.5% saved)

prune72.0ms (1.2%)

Memory
-12.0MiB live, 107.3MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 61051 615
Fresh101
Picked145
Done011
Total1 612101 622
Accuracy
100.0%
Counts
1 622 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
50.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
50.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
50.9%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
50.0%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.3%
#s(approx (- (* (* x 3) y) z) z)
92.9%
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)))
Compiler

Compiled 130 to 125 computations (3.8% saved)

simplify131.0ms (2.1%)

Memory
-5.2MiB live, 95.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
cost-diff0
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
cost-diff0
#s(approx (- (* (* x 3) y) z) z)
cost-diff0
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)))
cost-diff64
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z))
cost-diff704
(/.f64 #s(literal 0 binary64) z)
cost-diff1024
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)
Rules
4 126×lower-fma.f32
4 118×lower-fma.f64
3 206×lower-*.f32
3 188×lower-*.f64
1 202×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046259
069246
1128241
2233232
3530230
41631230
54275230
66172230
77784230
08015229
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z)
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
x
(/.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
z
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)))
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)
(fma.f64 (*.f64 #s(literal -3 binary64) y) x z)
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z)
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) z)
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z))
(*.f64 (*.f64 #s(literal -3 binary64) y) x)
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
x
(/.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
#s(literal 0 binary64)
z
#s(approx (- (* (* x 3) y) z) z)
z
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 3 binary64) x) y z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 9 binary64)) x) (*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 y y)
y
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x) y z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 y (*.f64 #s(literal 3 binary64) x) z)
(fma.f64 (*.f64 #s(literal 3 binary64) x) y z)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize166.0ms (2.7%)

Memory
-4.8MiB live, 194.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.9897291048045682
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
accuracy15.484962330681043
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy16.251692900637927
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
accuracy31.813293669004782
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
accuracy0
(*.f64 #s(literal 3 binary64) y)
accuracy0.2421875
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy31.35513543247964
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy0.19140625
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
accuracy31.35513543247964
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
accuracy62.522329056714845
#s(approx (- (* (* x 3) y) z) z)
accuracy0
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)))
accuracy0.2421875
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z))
accuracy4.508152173627124
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)
accuracy5.472461924990512
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z)
Samples
73.0ms256×0valid
Compiler

Compiled 240 to 36 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 29.0ms (56.1% of total)
ival-add: 9.0ms (17.4% of total)
ival-div: 8.0ms (15.5% of total)
ival-neg: 3.0ms (5.8% of total)
ival-sub: 2.0ms (3.9% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (1.1%)

Memory
24.3MiB live, 97.1MiB allocated
Counts
18 → 504
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) x) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 z) (#s(alt (/.f64 #s(literal 0 binary64) z) (patch (/.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) z) (patch #s(approx (- (* (* x 3) y) z) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (patch #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow y 2))) (* 3 (/ x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor 0 z) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor 0 z) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))) (taylor 0 z) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#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 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (patch (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) (patch (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify183.0ms (3%)

Memory
7.5MiB live, 237.4MiB allocated
Algorithm
egg-herbie
Rules
8 392×lower-fma.f64
8 392×lower-fma.f32
5 302×lower-*.f64
5 302×lower-*.f32
3 016×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07055884
121825286
272835216
080335015
Stop Event
iter limit
node limit
Counts
504 → 496
Calls
Call 1
Inputs
(* -3 (* x y))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
0
0
0
0
(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (/ x y))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* 1/3 (/ z (* x y)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (+ 1 (* -3 (/ (* x y) z))))
0
0
0
0
(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
(* -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)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -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))
(* 9 (/ (pow x 2) z))
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z)
(/ (+ (* -243 (/ (* (pow x 5) (pow y 3)) (pow z 3))) (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2)))))) z)
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
1
(+ 1 (* -3 (/ (* x y) z)))
(- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z)))
(- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
0
0
0
0
(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -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)))))
(* 9 (/ (pow x 2) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* 27 (/ (* (pow x 3) y) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* 81 (/ (* (pow x 4) (pow y 2)) z))) z))) z))
(* -1 (/ (+ (* -9 (pow x 2)) (* -1 (/ (+ (* -27 (* (pow x 3) y)) (* -1 (/ (+ (* -81 (* (pow x 4) (pow y 2))) (* 243 (/ (* (pow x 5) (pow y 3)) z))) z))) z))) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
1
(+ 1 (* -3 (/ (* x y) z)))
(+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* -3 (* x y))) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* -3 (* x y))) z)))
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 (* -3 (* x y)))
(+ z (* -3 (* x y)))
(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
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(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
1
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z
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Outputs
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z)
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z)
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -3 (* x y))
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(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* 3 (* x y))
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(+ (* -1 z) (* 3 (* x y)))
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(+ (* -1 z) (* 3 (* x y)))
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(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
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(* 3 (* x y))
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(+ (* -1 z) (* 3 (* x y)))
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(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(* 3 (* x y))
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(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(* 3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(/.f64 (fma.f64 #s(literal 3 binary64) x (/.f64 (neg.f64 z) y)) y)
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(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) y) (fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 z (/.f64 z x)) x) (/.f64 (/.f64 z (*.f64 y x)) y)))) x)
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z)
(/ (+ (* -1/9 (/ (pow z 2) (* x (pow y 2)))) (* 1/3 (/ z y))) x)
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64) (*.f64 (/.f64 z y) #s(literal 1/3 binary64))) x)
(/ (- (+ (* 1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/3 (/ z y))) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 z y) #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (*.f64 x x)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 (*.f64 z (/.f64 z x)) #s(literal 1/3 binary64))) 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 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) x)) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/81 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 1/3 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x))))) x)
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)))
(* -1 (* x (+ (* -1 (/ z x)) (* 3 y))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)))
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (neg.f64 z) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y 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 y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (/ z x))))
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (neg.f64 z) x)) x)
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(*.f64 (neg.f64 x) (fma.f64 y #s(literal -3 binary64) (/.f64 (neg.f64 z) (neg.f64 x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) z) x)))
(* 3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z (*.f64 y x)) y) (/.f64 #s(literal 3 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z x)) (/.f64 (/.f64 (neg.f64 z) y) y)) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) y) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) z) z) (pow.f64 y #s(literal 3 binary64)))) x)) x)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* 1/3 (/ z (* x y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y x)) z)
(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))

rewrite319.0ms (5.1%)

Memory
-22.1MiB live, 257.9MiB allocated
Rules
8 306×lower-fma.f32
8 298×lower-fma.f64
4 634×lower-/.f32
4 630×lower-/.f64
3 970×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046199
069188
1228177
21533160
08362158
Stop Event
iter limit
node limit
iter limit
Counts
18 → 324
Calls
Call 1
Inputs
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)
(/.f64 #s(literal 0 binary64) z)
(fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z))
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)))
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 y y)
(/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 z z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)) z)
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) (neg.f64 z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)) z)))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 z (-.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64) z))
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(/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) z) (*.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64))) (neg.f64 (*.f64 z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) z)))
(/.f64 (neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) (*.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64))))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z))
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) z))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) (*.f64 z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)) z) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64)))) z))
(neg.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -3 binary64)))) z))
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z)))
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) z) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)))
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))

eval223.0ms (3.6%)

Memory
10.7MiB live, 188.9MiB allocated
Compiler

Compiled 18 230 to 2 026 computations (88.9% saved)

prune33.0ms (0.5%)

Memory
6.7MiB live, 81.1MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New8322834
Fresh000
Picked235
Done055
Total83410844
Accuracy
100.0%
Counts
844 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.3%
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
50.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
50.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
50.9%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
50.0%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.3%
#s(approx (- (* (* x 3) y) z) z)
92.9%
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)))
Compiler

Compiled 71 to 74 computations (-4.2% saved)

simplify100.0ms (1.6%)

Memory
9.2MiB live, 131.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 x y) #s(literal 3 binary64))
cost-diff0
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
cost-diff0
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z)
cost-diff0
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))
cost-diff0
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)))
cost-diff1024
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)
Rules
3 896×lower-*.f32
3 886×lower-*.f64
3 168×lower-fma.f32
3 164×lower-fma.f64
1 752×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033192
046191
1105191
2236182
3650180
42328180
54955180
66810180
08237171
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)))
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z)
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 y #s(literal -3 binary64))
y
#s(literal -3 binary64)
x
z
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 y y)
y
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
#s(literal 3 binary64)
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
z
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)))
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z)))
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x z))
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)
(fma.f64 (*.f64 #s(literal -3 binary64) y) x z)
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z)
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) z)
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
(*.f64 (*.f64 #s(literal -3 binary64) y) x)
(*.f64 y #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) y)
y
#s(literal -3 binary64)
x
z
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) z (*.f64 #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 y y)))
(*.f64 y y)
y
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 x y)
x
#s(literal 3 binary64)
(neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) z)
z
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize86.0ms (1.4%)

Memory
1.7MiB live, 100.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.9897291048045682
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
accuracy15.484962330681043
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
accuracy26.907564677583128
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
accuracy31.813293669004782
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
accuracy0
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)))
accuracy0.2421875
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
accuracy4.508152173627124
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)
accuracy5.472461924990512
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z)
Samples
48.0ms256×0valid
Compiler

Compiled 165 to 29 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 23.0ms (64.5% of total)
ival-div: 7.0ms (19.6% of total)
ival-add: 3.0ms (8.4% of total)
ival-neg: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (1.1%)

Memory
2.8MiB live, 40.6MiB allocated
Counts
11 → 348
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -3 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -3 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ z x)) (* 3 y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) (patch (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<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 #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) (patch #s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) (* 3 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) (* 3 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) (* 3 y)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) (patch (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* -3 (/ (* x y) z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) (patch (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) (patch (fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (patch #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal -3 binary64)) x) (patch (*.f64 (*.f64 y #s(literal -3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ z (* x y))) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x)) (taylor -inf x) (#s(alt #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow z 2) (* x y))) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x)) (taylor -inf x) (#s(alt (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) (patch (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
46.0ms
y
@0
((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
2.0ms
y
@inf
((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
2.0ms
y
@-inf
((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
x
@-inf
((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))
1.0ms
z
@0
((+ (* (/ (* (* y -3) x) z) z) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg (+ (* (/ (* (* y -3) x) z) z) z)) (/ (* (* y -3) x) z) (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (* (/ x y) 3) (* (* y -3) x) (/ z (+ (* y (* 3 x)) z)) (* z (/ z (+ (* y (* 3 x)) z))))

simplify159.0ms (2.6%)

Memory
-9.1MiB live, 218.3MiB allocated
Algorithm
egg-herbie
Rules
8 502×lower-fma.f64
8 502×lower-fma.f32
5 302×lower-*.f64
5 302×lower-*.f32
3 020×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07154992
122074417
273154345
081204157
Stop Event
iter limit
node limit
Counts
348 → 340
Calls
Call 1
Inputs
(* -3 (* x y))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(- (* -1 z) (* -3 (* x y)))
(- (* -1 z) (* -3 (* x y)))
(- (* -1 z) (* -3 (* x y)))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (/ x y))
(+ (* -1 (/ z (pow y 2))) (* 3 (/ x y)))
(+ (* 3 (/ x y)) (* z (- (* 1/3 (/ z (* x (pow y 3)))) (/ 1 (pow y 2)))))
(+ (* 3 (/ x y)) (* z (- (* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 4)))) (* 1/3 (/ 1 (* x (pow y 3)))))) (/ 1 (pow y 2)))))
(* 1/3 (/ z (* x y)))
(* z (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* z (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (+ 1 (* -3 (/ (* x y) z))))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -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))
(* 9 (/ (pow x 2) z))
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (* 9 (pow x 2))) z)
(/ (+ (* -27 (/ (* (pow x 3) y) z)) (+ (* 9 (pow x 2)) (* 81 (/ (* (pow x 4) (pow y 2)) (pow z 2))))) z)
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(* -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))
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(* -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)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (/ x y))
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(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* 1/3 (/ (pow z 2) (* x y)))) y))) y))
(* -1 (/ (+ (* -3 x) (* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))) y))) y))
(* 3 (/ x y))
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(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* (pow x 3) y))) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* (pow x 4) y))) (* 1/27 (/ (pow z 3) (pow x 3)))) y)) (* 1/9 (/ (pow z 2) (pow x 2)))) y)) (* -1/3 (/ z x))) y))
(* 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))
z
(+ z (* -3 (* x y)))
(+ z (* -3 (* x y)))
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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)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
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(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
(* -1 z)
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(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 9 (/ (pow x 2) z))
(* (pow x 2) (+ (* -27 (/ (* x y) (pow z 2))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* 81 (/ (* x (pow y 2)) (pow z 3))))) (* 9 (/ 1 z))))
(* (pow x 2) (+ (* x (+ (* -27 (/ y (pow z 2))) (* x (+ (* -243 (/ (* x (pow y 3)) (pow z 4))) (* 81 (/ (pow y 2) (pow z 3))))))) (* 9 (/ 1 z))))
(* 3 (/ x y))
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(* 3 (/ x y))
(* 3 (/ x y))
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(* -3 (* x y))
(* -3 (* x y))
(* -3 (* x y))
1
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(+ 1 (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 3))) (* -9 (/ (pow y 2) (pow z 2))))) (* 3 (/ y z)))))
z
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(* 3 (* x y))
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(* -3 (/ (* x y) z))
(* -3 (/ (* x y) z))
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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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(* x (- (+ (* 1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 3 (/ 1 y))) (/ z (* x (pow y 2)))))
(* x (- (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 3 (/ 1 y))) (+ (* -1/3 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (/ z (* x (pow y 2))))))
(* 3 (/ x y))
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(/ (- (+ (* -1/81 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (* 1/3 (/ z y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 2) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
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(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* 3 (* x y))
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(* -3 (/ (* x y) z))
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(* 3 (* x y))
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(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* 3 (/ x y))
(* -1 (* x (- (/ z (* x (pow y 2))) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ (pow z 3) (* x (pow y 4)))) (* 1/3 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (* 3 (/ 1 y)))))
(* 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 (/ z (* x y)))
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(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
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Outputs
(* -3 (* x y))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z)
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z)
(+ z (* -3 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -3 binary64) z)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(+ (* -1 z) (* 3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(- (* -1 z) (* -3 (* x y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (neg.f64 z))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* -3 (/ (* x y) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal -3 binary64))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
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(* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 (/.f64 (*.f64 z (/.f64 z (*.f64 y x))) y) #s(literal 1/9 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 3) (* x (pow y 3)))) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) x) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (*.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 4) (* x (pow y 4)))) (* 1/27 (/ (pow z 3) (pow y 3)))) x)) (* 1/9 (/ (pow z 2) (pow y 2)))) x)) (* -1/3 (/ z y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (/.f64 (fma.f64 (*.f64 z (/.f64 z (*.f64 y y))) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(* 1/3 (/ (pow z 2) (* x y)))
(*.f64 (*.f64 z (/.f64 z (*.f64 y x))) #s(literal 1/3 binary64))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1/27 binary64) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(/.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal -1/9 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (/.f64 (*.f64 #s(literal -1/27 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))

rewrite227.0ms (3.7%)

Memory
30.9MiB live, 254.7MiB allocated
Rules
7 650×lower-fma.f32
7 646×lower-fma.f64
4 338×lower-*.f32
4 328×lower-*.f64
4 038×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033163
046162
1177154
21281131
08713123
Stop Event
iter limit
node limit
iter limit
Counts
11 → 310
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)))
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z))
(/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z)
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(*.f64 y y)
#s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal -3 binary64)) x)
#s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64))
(*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal 1 binary64)) z)
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))
(*.f64 z (fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (*.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) z)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 y x) z)) z)
(fma.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) z) (/.f64 #s(literal -1 binary64) z) z)
(fma.f64 (*.f64 z (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) z) z)
(fma.f64 (*.f64 x y) #s(literal -3 binary64) z)
(fma.f64 (*.f64 z (*.f64 #s(literal -3 binary64) y)) (/.f64 x z) z)
(fma.f64 (neg.f64 (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))) (/.f64 #s(literal -1 binary64) z) z)
(fma.f64 (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 z #s(literal -1 binary64)) z)
(fma.f64 (*.f64 x #s(literal -3 binary64)) y z)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) z)
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 x (*.f64 #s(literal -3 binary64) y)))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) z)
(fma.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (*.f64 #s(literal -3 binary64) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -3 binary64) y)) z)
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) z) z z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -3 binary64) y)))
(fma.f64 z (/.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) z) z)
(fma.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 1 binary64) z)
(fma.f64 x (*.f64 #s(literal -3 binary64) y) z)
(fma.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 (/.f64 x z) z) z)
(fma.f64 (*.f64 #s(literal -3 binary64) y) x z)
(fma.f64 #s(literal -3 binary64) (*.f64 y x) z)
(fma.f64 y (*.f64 x #s(literal -3 binary64)) z)
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))) (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))))
(+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))
(+.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y)))
(+.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) z)
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)))
(*.f64 (neg.f64 (fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal 1 binary64))) z)
(*.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) z) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) (neg.f64 z))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 x (*.f64 #s(literal -3 binary64) y))) (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x z) (*.f64 #s(literal -3 binary64) y) #s(literal 1 binary64)) (neg.f64 z))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64)) z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 #s(literal -3 binary64) y) (neg.f64 z)))))
(*.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal -3 binary64) y) z))
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eval160.0ms (2.6%)

Memory
-22.9MiB live, 215.8MiB allocated
Compiler

Compiled 13 415 to 1 894 computations (85.9% saved)

prune62.0ms (1%)

Memory
9.4MiB live, 60.6MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New6491650
Fresh000
Picked202
Done088
Total6519660
Accuracy
100.0%
Counts
660 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
99.8%
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
99.9%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
50.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
50.8%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
50.9%
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
50.0%
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
2.3%
#s(approx (- (* (* x 3) y) z) z)
88.4%
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal -3 binary64) (/.f64 x z))) z z)))
Compiler

Compiled 231 to 127 computations (45% saved)

regimes37.0ms (0.6%)

Memory
-2.2MiB live, 71.6MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (neg.f64 z))
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 #s(literal -3 binary64) (/.f64 x z))) z z)))
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) x) z) z z)))
(fma.f64 (*.f64 y y) #s(approx (/ (* 9 (* x x)) (+ (* y (* 3 x)) z)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
#s(approx (+ (* (* y y) (/ (* 9 (* x x)) (+ (* y (* 3 x)) z))) (neg (* z (/ z (+ (* y (* 3 x)) z))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) z z)))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z #s(approx (/ z (+ (* y (* 3 x)) z)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
(fma.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)) (neg.f64 (*.f64 z (/.f64 z (fma.f64 y (*.f64 #s(literal 3 binary64) x) z)))))
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Calls

6 calls:

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

Compiled 18 to 27 computations (-50% saved)

regimes19.0ms (0.3%)

Memory
0.1MiB live, 37.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))
Calls

6 calls:

5.0ms
y
3.0ms
x
2.0ms
z
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
Results
AccuracySegmentsBranch
77.7%3x
74.5%3y
71.5%3z
64.1%3(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
81.7%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
77.7%3(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Outputs
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))
Calls

1 calls:

2.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Results
AccuracySegmentsBranch
81.7%3(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes15.0ms (0.2%)

Memory
-17.5MiB live, 27.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* (* x 3) y) z) z)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
Calls

6 calls:

6.0ms
z
2.0ms
x
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.0ms
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.0ms
(*.f64 x #s(literal 3 binary64))
Results
AccuracySegmentsBranch
50.0%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
50.0%1z
50.0%1y
50.0%1x
50.0%1(*.f64 x #s(literal 3 binary64))
50.0%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes8.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
2.3%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
2.3%1(*.f64 (*.f64 x #s(literal 3 binary64)) y)
2.3%1x
2.3%1y
2.3%1(*.f64 x #s(literal 3 binary64))
2.3%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.1480559581231e-90
5.007099440170848e-75
0.0ms
-4.555087996873857e+73
-6.6456007509721216e+69
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.1480559581231e-90
5.007099440170848e-75
0.0ms
-4.555087996873857e+73
-6.6456007509721216e+69
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify29.0ms (0.5%)

Memory
-7.8MiB live, 67.1MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027130
136130
239130
340130
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 -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)
Outputs
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) z)
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 #s(literal 3 binary64) x))) (if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 y x) #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y)) (if (<=.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 (*.f64 #s(literal 3 binary64) x) y))))
(if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 #s(literal 3 binary64) x))) (if (<=.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) #s(literal 5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (*.f64 y (*.f64 #s(literal 3 binary64) x)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) z)

soundness628.0ms (10.1%)

Memory
-44.5MiB live, 242.6MiB allocated
Rules
4 098×lower-fma.f32
4 090×lower-fma.f64
3 552×lower-fma.f64
3 552×lower-fma.f32
3 124×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026115
04595
116895
295488
0945388
038378
1118378
2334378
3838378
42379378
54087378
66030378
77461378
87976378
08001378
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 112 to 75 computations (33% saved)

preprocess95.0ms (1.5%)

Memory
4.3MiB live, 119.7MiB allocated
Compiler

Compiled 204 to 100 computations (51% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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