Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, D

Time bar (total: 14.2s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.6s (11.1%)

Memory
31.6MiB live, 1 470.1MiB allocated
Samples
943.0ms7 686×0valid
72.0ms442×1valid
48.0ms128×2valid
Precisions
Click to see histograms. Total time spent on operations: 616.0ms
ival-mult: 309.0ms (50.1% of total)
ival-div: 107.0ms (17.4% of total)
ival-sub: 94.0ms (15.3% of total)
ival-add: 48.0ms (7.8% of total)
adjust: 38.0ms (6.2% of total)
exact: 11.0ms (1.8% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess483.0ms (3.4%)

Memory
-14.0MiB live, 427.3MiB allocated
Algorithm
egg-herbie
Rules
11 248×lower-fma.f64
11 248×lower-fma.f32
1 712×lower-*.f32
1 708×lower-*.f64
1 454×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042108
1102100
233999
3159099
4600199
01211
01911
12811
26211
319611
457211
5149811
6322911
7504011
8572511
9598911
10603911
11605411
12605711
13605711
14605711
15625511
16631611
17631611
063169
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
Outputs
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
(fma.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) x)

explain177.0ms (1.2%)

Memory
7.9MiB live, 284.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y x)
00-0-(*.f64 (-.f64 y x) #s(literal 6 binary64))
00-0-#s(literal 3 binary64)
00-0-z
00-0-(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
00-0-(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
00-0-#s(literal 6 binary64)
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))
00-0-(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
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
65.0ms406×0valid
20.0ms38×2valid
7.0ms46×1valid
6.0ms22×3valid
Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 21.0ms (48.2% of total)
ival-div: 8.0ms (18.4% of total)
ival-sub: 6.0ms (13.8% of total)
adjust: 4.0ms (9.2% of total)
ival-add: 3.0ms (6.9% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify432.0ms (3%)

Memory
-4.9MiB live, 393.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 y x) #s(literal 6 binary64))
cost-diff128
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))
cost-diff128
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
cost-diff704
(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
Rules
11 248×lower-fma.f64
11 248×lower-fma.f32
1 712×lower-*.f32
1 708×lower-*.f64
1 454×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
01938
12838
26238
319638
457238
5149838
6322938
7504038
8572538
9598938
10603938
11605438
12605738
13605738
14605738
15625538
16631638
17631638
0631635
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
x
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 y x)
y
#s(literal 6 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
z
Outputs
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
(fma.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) x)
x
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))
(*.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 y x)
y
#s(literal 6 binary64)
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
(-.f64 #s(literal 2/3 binary64) z)
(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 2/3 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
z

localize59.0ms (0.4%)

Memory
-2.8MiB live, 76.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
accuracy99.9%
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
accuracy99.7%
(*.f64 (-.f64 y x) #s(literal 6 binary64))
accuracy99.7%
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))
Samples
35.0ms203×0valid
6.0ms19×2valid
3.0ms23×1valid
3.0ms11×3valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 24.0ms (70.2% of total)
ival-mult: 4.0ms (11.7% of total)
ival-div: 2.0ms (5.8% of total)
adjust: 2.0ms (5.8% of total)
ival-add: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)) (patch (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())
Outputs
#s(alt (* 6 (* y (- 2/3 z))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -6 (- 2/3 z)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (- 2/3 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -6 (* x (- 2/3 z)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y (- 2/3 z))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y (- 2/3 z))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 4 (- y x))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* z (- y x))) (* 4 (- y x)))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))) #<representation binary64>) () ())) ())
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#s(alt (* x (- (* 6 (/ y x)) 6)) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ y x)) 6)) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ y x)) 6)) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt 2/3 (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) (patch (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
Calls

27 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+ x (* (* (- y x) 6) (- (/ 2 3) z)))
1.0ms
x
@-inf
(+ x (* (* (- y x) 6) (- (/ 2 3) z)))
1.0ms
x
@inf
(+ x (* (* (- y x) 6) (- (/ 2 3) z)))
1.0ms
x
@0
(+ x (* (* (- y x) 6) (- (/ 2 3) z)))
1.0ms
z
@inf
(+ x (* (* (- y x) 6) (- (/ 2 3) z)))

rewrite471.0ms (3.3%)

Memory
-191.3MiB live, 546.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 968×lower-*.f32
4 964×lower-*.f64
4 346×lower-fma.f64
4 346×lower-fma.f32
3 202×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01229
01929
16429
246829
3764429
0813026
Stop Event
iter limit
node limit
iter limit
Counts
5 → 326
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(literal 3 binary64))
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
(*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z))
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Outputs
#s(literal 2/3 binary64)
(+.f64 x (*.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))))
(+.f64 (*.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))) x)
(+.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))))
(+.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (fma.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z) x))
(+.f64 (+.f64 x (*.f64 (-.f64 y x) #s(literal 4 binary64))) (*.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (/.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)))
(-.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (neg.f64 x))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (-.f64 y x) #s(literal 6 binary64)) (fma.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 x (/.f64 x (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))))
(fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) x)
(fma.f64 (-.f64 y x) #s(literal 4 binary64) (fma.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) x)
(fma.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 2/3 binary64)) (fma.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) #s(literal 2/3 binary64) (fma.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 #s(literal 2/3 binary64) z) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))))
(fma.f64 (*.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))) x)
(fma.f64 (*.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) x)
(fma.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (*.f64 (-.f64 y x) #s(literal 6 binary64))) x)
(fma.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)) (/.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) x)
(fma.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))) x)
(fma.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (+.f64 x y)) x)
(fma.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) z)) (*.f64 (-.f64 y x) #s(literal 6 binary64))) x)
(fma.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 z z)) (/.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 2/3 binary64) z)) x)
(fma.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (-.f64 y x) x)
(fma.f64 #s(literal 4 binary64) (-.f64 y x) (fma.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
(fma.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) x)
(fma.f64 (*.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) z)) x)
(fma.f64 (*.f64 #s(literal 2/3 binary64) (-.f64 y x)) #s(literal 6 binary64) (fma.f64 (-.f64 y x) (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)))) (fma.f64 (*.f64 x (+.f64 x y)) (*.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 x (+.f64 x y)) (-.f64 (*.f64 x (+.f64 x y)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) x)
(fma.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x) x)
(fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)) x)
(fma.f64 (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)))) (fma.f64 (*.f64 z (+.f64 #s(literal 2/3 binary64) z)) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal 2/3 binary64) z) (+.f64 #s(literal 2/3 binary64) z))) #s(literal 64/729 binary64))) (fma.f64 (*.f64 z (+.f64 #s(literal 2/3 binary64) z)) (-.f64 (*.f64 z (+.f64 #s(literal 2/3 binary64) z)) #s(literal 4/9 binary64)) #s(literal 16/81 binary64)) x)
(fma.f64 (/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)))) (-.f64 #s(literal 16/81 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal 2/3 binary64) z) (+.f64 #s(literal 2/3 binary64) z))))) (-.f64 #s(literal 4/9 binary64) (*.f64 z (+.f64 #s(literal 2/3 binary64) z))) x)
(fma.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))) (-.f64 #s(literal 4/9 binary64) (*.f64 z z))) (-.f64 #s(literal 2/3 binary64) z) x)
(fma.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))) (fma.f64 z (*.f64 z z) #s(literal 8/27 binary64))) (fma.f64 z (-.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)) x)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) x) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))) (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) x) (neg.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z))) #s(literal 216 binary64))))) (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64))) (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) x))) (neg.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z))) #s(literal 216 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (neg.f64 x))) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) x) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (neg.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z))) #s(literal 216 binary64))))) (fma.f64 (-.f64 y x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) (neg.f64 x))) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) (fma.f64 #s(literal -6 binary64) z #s(literal 4 binary64)) x) (neg.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))) (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal 2/3 binary64) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 #s(literal 2/3 binary64) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal 2/3 binary64) z)) (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal 2/3 binary64) z)) (fma.f64 (*.f64 z (/.f64 z (+.f64 #s(literal 2/3 binary64) z))) (*.f64 z (/.f64 z (+.f64 #s(literal 2/3 binary64) z))) (*.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal 2/3 binary64) z)) (*.f64 z (/.f64 z (+.f64 #s(literal 2/3 binary64) z)))))))
(/.f64 (-.f64 (*.f64 z z) #s(literal 4/9 binary64)) (-.f64 (neg.f64 z) #s(literal 2/3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))))) (+.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal 2/3 binary64) z)) (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal 2/3 binary64) z))) (*.f64 (*.f64 z (/.f64 z (+.f64 #s(literal 2/3 binary64) z))) (*.f64 z (/.f64 z (+.f64 #s(literal 2/3 binary64) z))))) (+.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 #s(literal 2/3 binary64) z)) (*.f64 z (/.f64 z (+.f64 #s(literal 2/3 binary64) z)))))
(/.f64 (*.f64 (-.f64 #s(literal 512/19683 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) #s(literal 8/27 binary64)) #s(literal 64/729 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 64/729 binary64) (*.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64)))) (fma.f64 z (*.f64 z z) #s(literal 8/27 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 64/729 binary64) (*.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) z))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal 4/9 binary64)) #s(literal 16/81 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16/81 binary64) (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) z))) (fma.f64 z z #s(literal 4/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) z)) #s(literal -1 binary64))
(*.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))))
(*.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) #s(literal 2/3 binary64)) #s(literal 4/9 binary64))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) z)))
(*.f64 (neg.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64)))))
(*.f64 (+.f64 #s(literal -4/9 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 z) #s(literal -2/3 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) z)) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))
(*.f64 (/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 z z)) (-.f64 #s(literal 4/9 binary64) (*.f64 z z))) (-.f64 #s(literal 2/3 binary64) z))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)) (fma.f64 (*.f64 z (+.f64 #s(literal 2/3 binary64) z)) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal 2/3 binary64) z) (+.f64 #s(literal 2/3 binary64) z))) #s(literal 64/729 binary64))) (fma.f64 (*.f64 z (+.f64 #s(literal 2/3 binary64) z)) (-.f64 (*.f64 z (+.f64 #s(literal 2/3 binary64) z)) #s(literal 4/9 binary64)) #s(literal 16/81 binary64)))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)) (-.f64 #s(literal 16/81 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 #s(literal 2/3 binary64) z) (+.f64 #s(literal 2/3 binary64) z))))) (-.f64 #s(literal 4/9 binary64) (*.f64 z (+.f64 #s(literal 2/3 binary64) z))))
(*.f64 (/.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 z z)) (fma.f64 z (*.f64 z z) #s(literal 8/27 binary64))) (fma.f64 z (-.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))

simplify598.0ms (4.2%)

Memory
-0.5MiB live, 840.3MiB allocated
Algorithm
egg-herbie
Rules
23 694×lower-fma.f64
23 694×lower-fma.f32
5 676×lower-*.f64
5 676×lower-*.f32
3 052×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01091188
13411017
21071867
33586846
08716758
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 6 (* y (- 2/3 z)))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(* x (+ 1 (* -6 (- 2/3 z))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* -1 (* x (- (* 6 (- 2/3 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(+ x (* -6 (* x (- 2/3 z))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(* 6 (* y (- 2/3 z)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* 6 (* y (- 2/3 z)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(+ x (* 4 (- y x)))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -6 (* x (- 2/3 z)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(* 6 (* y (- 2/3 z)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(* 6 (* y (- 2/3 z)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(* 6 (* y (- 2/3 z)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(* -6 (* x (- 2/3 z)))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(* -6 (* x (- 2/3 z)))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(* 4 (- y x))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* 6 y)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* -6 x)
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* -6 x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
2/3
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(* -1 z)
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
Outputs
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (+ 1 (* -6 (- 2/3 z))))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (* 6 (- 2/3 z)) 1)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (* -6 (* x (- 2/3 z))))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (* 4 (- y x)))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -6 (* z (- y x)))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -6 (* z (- y x)))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) #s(literal 1 binary64)))
(* -6 (* x (- 2/3 z)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -6 (* x (- 2/3 z)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -6 (* x (- 2/3 z)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* 4 (- y x))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -6 (* z (- y x)))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(* -6 (* z (- y x)))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(fma.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* y (+ 6 (* -6 (/ x y))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* y (+ 6 (* -6 (/ x y))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* y (+ 6 (* -6 (/ x y))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* x (- (* 6 (/ y x)) 6))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* x (- (* 6 (/ y x)) 6))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 #s(literal 2/3 binary64) z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 #s(literal 2/3 binary64) z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(-.f64 #s(literal 2/3 binary64) z)

eval154.0ms (1.1%)

Memory
23.0MiB live, 132.3MiB allocated
Compiler

Compiled 11 656 to 1 154 computations (90.1% saved)

prune78.0ms (0.5%)

Memory
-30.4MiB live, 185.1MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New42014434
Fresh000
Picked101
Done000
Total42114435
Accuracy
100.0%
Counts
435 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
62.4%
(fma.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))) (fma.f64 z (*.f64 z z) #s(literal 8/27 binary64))) (fma.f64 z (-.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)) x)
67.6%
(fma.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))) (-.f64 #s(literal 4/9 binary64) (*.f64 z z))) (-.f64 #s(literal 2/3 binary64) z) x)
99.6%
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
99.6%
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
64.2%
(fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) x)
87.8%
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
49.0%
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
99.8%
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
99.5%
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
53.0%
(+.f64 x (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))))
52.4%
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
53.0%
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
52.5%
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
Compiler

Compiled 428 to 282 computations (34.1% saved)

simplify399.0ms (2.8%)

Memory
25.9MiB live, 532.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
cost-diff0
(/.f64 x y)
cost-diff1024
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) #s(literal 6 binary64))
cost-diff0
(-.f64 #s(literal 2/3 binary64) z)
cost-diff128
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 z (-.f64 x y))
cost-diff0
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
cost-diff0
(-.f64 x y)
cost-diff0
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
Rules
17 578×lower-fma.f32
17 568×lower-fma.f64
2 720×lower-*.f32
2 712×lower-*.f64
1 734×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020114
037109
161109
2137109
3464109
41328109
53092109
66179109
08091109
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
#s(literal 6 binary64)
z
#s(literal -4 binary64)
(-.f64 x y)
x
y
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
#s(literal 4 binary64)
(-.f64 y x)
y
x
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
#s(literal 6 binary64)
(*.f64 z (-.f64 x y))
z
(-.f64 x y)
x
y
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(-.f64 #s(literal 2/3 binary64) z)
#s(literal 2/3 binary64)
z
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 y x)
y
x
#s(literal 6 binary64)
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
y
(/.f64 x y)
x
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
#s(literal 6 binary64)
z
#s(literal -4 binary64)
(-.f64 x y)
Outputs
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
#s(literal 6 binary64)
z
#s(literal -4 binary64)
(-.f64 x y)
x
y
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(fma.f64 #s(literal -4 binary64) (-.f64 x y) x)
#s(literal 4 binary64)
(-.f64 y x)
y
x
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(*.f64 (-.f64 x y) (*.f64 #s(literal 6 binary64) z))
#s(literal 6 binary64)
(*.f64 z (-.f64 x y))
z
(-.f64 x y)
x
y
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(-.f64 #s(literal 2/3 binary64) z)
#s(literal 2/3 binary64)
z
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(-.f64 y x)
y
x
#s(literal 6 binary64)
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
y
(/.f64 x y)
x
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(*.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
#s(literal 6 binary64)
z
#s(literal -4 binary64)
(-.f64 x y)

localize492.0ms (3.4%)

Memory
-19.1MiB live, 190.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 x y)
accuracy99.9%
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
accuracy88.1%
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(-.f64 #s(literal 2/3 binary64) z)
accuracy99.7%
(*.f64 (-.f64 y x) #s(literal 6 binary64))
accuracy99.6%
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
accuracy100.0%
(-.f64 x y)
accuracy100.0%
(*.f64 z (-.f64 x y))
accuracy99.6%
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
accuracy100.0%
(-.f64 y x)
accuracy99.8%
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
accuracy100.0%
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
accuracy100.0%
(-.f64 x y)
accuracy99.8%
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
Samples
182.0ms180×0valid
104.0ms31×2valid
12.0ms33×1valid
7.0ms11×3valid
1.0ms4valid
Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 17.0ms (38.2% of total)
ival-add: 8.0ms (18% of total)
adjust: 6.0ms (13.5% of total)
const: 5.0ms (11.2% of total)
ival-sub: 5.0ms (11.2% of total)
ival-div: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
21.6MiB live, 59.6MiB allocated
Counts
13 → 360
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) (patch (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (patch (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (patch (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y))) (patch (*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 z (-.f64 x y)) (patch (*.f64 z (-.f64 x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x) (patch (fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (*.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (patch (fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* -4 (- x y))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) (patch (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -4 (- x y)) (* 6 (* z (- x y))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) (patch (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -4 (- x y)) (* 6 (* z (- x y))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) (patch (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -4 (- x y)) (* 6 (* z (- x y))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) (patch (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- x y))) (taylor inf z) (#s(alt (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) (patch (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4)) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 z) 4)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 z) 4)) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 6 z) 4))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 6 z) 4))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (patch (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) #<representation binary64>) () ())) ())
Calls

90 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ x y)
1.0ms
z
@-inf
(+ (* (+ (* 6 z) -4) (- x y)) x)
1.0ms
z
@0
(* 6 (* z (- x y)))
1.0ms
x
@0
(+ (* (+ (* 6 z) -4) (- x y)) x)
0.0ms
x
@inf
(/ x y)

rewrite464.0ms (3.3%)

Memory
-16.0MiB live, 651.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 294×lower-fma.f32
5 284×lower-fma.f64
4 306×lower-/.f32
4 304×lower-/.f64
3 586×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02079
03775
115575
2127375
0844975
Stop Event
iter limit
node limit
iter limit
Counts
13 → 985
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
(-.f64 x y)
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(-.f64 y x)
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(*.f64 z (-.f64 x y))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(-.f64 #s(literal 2/3 binary64) z)
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(/.f64 x y)
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
Outputs
(+.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(+.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (-.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))))))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (-.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(fma.f64 (/.f64 x y) y (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (-.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x)))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64))) (+.f64 x y))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64)) (+.f64 x y))) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64))))) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64)))) x)
(fma.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64))))) x)
(fma.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64)))) x)
(fma.f64 (neg.f64 (*.f64 x y)) (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64)))) x)
(fma.f64 (*.f64 (-.f64 x y) (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64)))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64))) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) x)
(fma.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (/.f64 y y) x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)) (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))) (*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)) (fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x))) (fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) (neg.f64 x)))
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(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y))) (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y)))) (*.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (*.f64 (-.f64 x y) #s(literal -4 binary64)))) (-.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y))) (*.f64 (-.f64 x y) #s(literal -4 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (*.f64 (-.f64 x y) #s(literal -4 binary64))) (*.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y))) (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y))))) (-.f64 (*.f64 (-.f64 x y) #s(literal -4 binary64)) (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))) (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))))) (-.f64 (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) (*.f64 #s(literal -4 binary64) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y))) (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y))))) (-.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y)))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(*.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 216 binary64) #s(literal -64 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal 16 binary64)) (*.f64 z #s(literal -24 binary64))) (+.f64 x y))))
(*.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64)) (+.f64 x y))))
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(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64)))))
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(*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
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(*.f64 (*.f64 (fma.f64 (*.f64 z z) #s(literal 36 binary64) #s(literal -16 binary64)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 6 binary64) z #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))

simplify573.0ms (4%)

Memory
-8.1MiB live, 567.0MiB allocated
Algorithm
egg-herbie
Rules
13 984×lower-fma.f64
13 984×lower-fma.f32
3 506×lower-*.f64
3 506×lower-*.f32
1 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02493001
17922737
224412413
363232413
084542191
Stop Event
iter limit
node limit
Counts
360 → 354
Calls
Call 1
Inputs
(+ x (* -4 (- x y)))
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(* 6 (* z (- x y)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(* 6 (* z (- x y)))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(* -1 (* y (- (* 6 z) 4)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(* x (- (* 6 z) 3))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(* -1 (* x (- (* -1 (- (* 6 z) 4)) 1)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(+ x (* x (- (* 6 z) 4)))
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(* -1 (* y (- (* 6 z) 4)))
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(* -1 (* y (- (* 6 z) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
-4
(- (* 6 z) 4)
(- (* 6 z) 4)
(- (* 6 z) 4)
(* 6 z)
(* z (- 6 (* 4 (/ 1 z))))
(* z (- 6 (* 4 (/ 1 z))))
(* z (- 6 (* 4 (/ 1 z))))
(* 6 z)
(* -1 (* z (- (* 4 (/ 1 z)) 6)))
(* -1 (* z (- (* 4 (/ 1 z)) 6)))
(* -1 (* z (- (* 4 (/ 1 z)) 6)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* -4 x))
(+ x (+ (* -4 x) (* 4 y)))
(+ x (+ (* -4 x) (* 4 y)))
(+ x (+ (* -4 x) (* 4 y)))
(* 4 y)
(* y (+ 4 (+ (* -4 (/ x y)) (/ x y))))
(* y (+ 4 (+ (* -4 (/ x y)) (/ x y))))
(* y (+ 4 (+ (* -4 (/ x y)) (/ x y))))
(* 4 y)
(* -1 (* y (- (* -1 (/ (+ x (* -4 x)) y)) 4)))
(* -1 (* y (- (* -1 (/ (+ x (* -4 x)) y)) 4)))
(* -1 (* y (- (* -1 (/ (+ x (* -4 x)) y)) 4)))
(* 4 y)
(+ (* -3 x) (* 4 y))
(+ (* -3 x) (* 4 y))
(+ (* -3 x) (* 4 y))
(* -3 x)
(* x (- (* 4 (/ y x)) 3))
(* x (- (* 4 (/ y x)) 3))
(* x (- (* 4 (/ y x)) 3))
(* -3 x)
(* -1 (* x (+ 3 (* -4 (/ y x)))))
(* -1 (* x (+ 3 (* -4 (/ y x)))))
(* -1 (* x (+ 3 (* -4 (/ y x)))))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* -6 (* y z))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(* 6 (* x z))
(* x (+ (* -6 (/ (* y z) x)) (* 6 z)))
(* x (+ (* -6 (/ (* y z) x)) (* 6 z)))
(* x (+ (* -6 (/ (* y z) x)) (* 6 z)))
(* 6 (* x z))
(* -1 (* x (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* 6 (* x z))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(* -6 (* y z))
(* y (+ (* -6 z) (* 6 (/ (* x z) y))))
(* y (+ (* -6 z) (* 6 (/ (* x z) y))))
(* y (+ (* -6 z) (* 6 (/ (* x z) y))))
(* -6 (* y z))
(* -1 (* y (+ (* -6 (/ (* x z) y)) (* 6 z))))
(* -1 (* y (+ (* -6 (/ (* x z) y)) (* 6 z))))
(* -1 (* y (+ (* -6 (/ (* x z) y)) (* 6 z))))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* z (- x y))
(* -1 (* y z))
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(* x z)
(* x (+ z (* -1 (/ (* y z) x))))
(* x (+ z (* -1 (/ (* y z) x))))
(* x (+ z (* -1 (/ (* y z) x))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x (+ (* -1 z) (/ (* y z) x))))
(* x z)
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(* -1 (* y z))
(* y (+ (* -1 z) (/ (* x z) y)))
(* y (+ (* -1 z) (/ (* x z) y)))
(* y (+ (* -1 z) (/ (* x z) y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ (* x z) y)))))
(* -1 (* y (+ z (* -1 (/ (* x z) y)))))
(* -1 (* y (+ z (* -1 (/ (* x z) y)))))
(+ x (* 4 (- y x)))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(+ x (* -6 (* x (- 2/3 z))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(* 6 (* y (- 2/3 z)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* 6 (* y (- 2/3 z)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* 6 (* y (- 2/3 z)))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(* x (+ 1 (* -6 (- 2/3 z))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* -1 (* x (- (* 6 (- 2/3 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
2/3
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(* -1 z)
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* 6 y)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* -6 x)
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* -6 x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(+ x (* x (- (* 6 z) 4)))
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(* -1 (* y (- (* 6 z) 4)))
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(* -1 (* y (- (* 6 z) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(* -1 (* y (- (* 6 z) 4)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(* x (- (* 6 z) 3))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(* -1 (* x (- (* -1 (- (* 6 z) 4)) 1)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(+ x (* -4 (- x y)))
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(* 6 (* z (- x y)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(* 6 (* z (- x y)))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -4 (- x y))
(+ (* -4 (- x y)) (* 6 (* z (- x y))))
(+ (* -4 (- x y)) (* 6 (* z (- x y))))
(+ (* -4 (- x y)) (* 6 (* z (- x y))))
(* 6 (* z (- x y)))
(* z (+ (* -4 (/ (- x y) z)) (* 6 (- x y))))
(* z (+ (* -4 (/ (- x y) z)) (* 6 (- x y))))
(* z (+ (* -4 (/ (- x y) z)) (* 6 (- x y))))
(* 6 (* z (- x y)))
(* -1 (* z (+ (* -6 (- x y)) (* 4 (/ (- x y) z)))))
(* -1 (* z (+ (* -6 (- x y)) (* 4 (/ (- x y) z)))))
(* -1 (* z (+ (* -6 (- x y)) (* 4 (/ (- x y) z)))))
(* -1 (* y (- (* 6 z) 4)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(* x (- (* 6 z) 4))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4))
(* x (- (* 6 z) 4))
(* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x))))
(* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x))))
(* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x))))
(* x (- (* 6 z) 4))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(* -1 (* y (- (* 6 z) 4)))
(* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y)))
(* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y)))
(* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y)))
(* -1 (* y (- (* 6 z) 4)))
(* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4)))
Outputs
(+ x (* -4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 x y) x)
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(* 6 (* z (- x y)))
(*.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(fma.f64 z (fma.f64 (-.f64 x y) #s(literal 6 binary64) (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(fma.f64 z (fma.f64 (-.f64 x y) #s(literal 6 binary64) (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(fma.f64 z (fma.f64 (-.f64 x y) #s(literal 6 binary64) (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* 6 (* z (- x y)))
(*.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(* -1 (* y (- (* 6 z) 4)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (- (* 6 z) 3))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (* -1 (- (* 6 z) 4)) 1)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (* x (- (* 6 z) 4)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* y (- (* 6 z) 4)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* y (+ (* -1 (- (* 6 z) 4)) (+ (/ x y) (/ (* x (- (* 6 z) 4)) y))))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* y (- (* 6 z) 4)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* y (- (+ (* -1 (/ (+ x (* x (- (* 6 z) 4))) y)) (* 6 z)) 4)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
-4
#s(literal -4 binary64)
(- (* 6 z) 4)
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
(- (* 6 z) 4)
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
(- (* 6 z) 4)
(fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))
(* 6 z)
(*.f64 #s(literal 6 binary64) z)
(* z (- 6 (* 4 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) z)))
(* z (- 6 (* 4 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) z)))
(* z (- 6 (* 4 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) z)))
(* 6 z)
(*.f64 #s(literal 6 binary64) z)
(* -1 (* z (- (* 4 (/ 1 z)) 6)))
(*.f64 z (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) z)))
(* -1 (* z (- (* 4 (/ 1 z)) 6)))
(*.f64 z (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) z)))
(* -1 (* z (- (* 4 (/ 1 z)) 6)))
(*.f64 z (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) z)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
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(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 3)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (- (* 6 z) 3))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 3))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (* -1 (- (* 6 z) 4)) 1)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x)) 1)))
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+ x (* -4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 x y) x)
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(+ x (+ (* -4 (- x y)) (* 6 (* z (- x y)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(* 6 (* z (- x y)))
(*.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(fma.f64 z (fma.f64 (-.f64 x y) #s(literal 6 binary64) (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(fma.f64 z (fma.f64 (-.f64 x y) #s(literal 6 binary64) (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (+ (* 6 (- x y)) (/ x z))))
(fma.f64 z (fma.f64 (-.f64 x y) #s(literal 6 binary64) (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* 6 (* z (- x y)))
(*.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)))
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(* -1 (* z (+ (* -6 (- x y)) (* -1 (/ (+ x (* -4 (- x y))) z)))))
(fma.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -4 (- x y))
(*.f64 #s(literal -4 binary64) (-.f64 x y))
(+ (* -4 (- x y)) (* 6 (* z (- x y))))
(*.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(+ (* -4 (- x y)) (* 6 (* z (- x y))))
(*.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(+ (* -4 (- x y)) (* 6 (* z (- x y))))
(*.f64 (-.f64 x y) (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(* 6 (* z (- x y)))
(*.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (* 6 (- x y))))
(fma.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (* 6 (- x y))))
(fma.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* z (+ (* -4 (/ (- x y) z)) (* 6 (- x y))))
(fma.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* 6 (* z (- x y)))
(*.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)))
(* -1 (* z (+ (* -6 (- x y)) (* 4 (/ (- x y) z)))))
(fma.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* -1 (* z (+ (* -6 (- x y)) (* 4 (/ (- x y) z)))))
(fma.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* -1 (* z (+ (* -6 (- x y)) (* 4 (/ (- x y) z)))))
(fma.f64 z (*.f64 (-.f64 x y) #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(* -1 (* y (- (* 6 z) 4)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* x (- (* 6 z) 4))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* x (- (+ (* -1 (/ (* y (- (* 6 z) 4)) x)) (* 6 z)) 4))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* x (- (* 6 z) 4))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* x (+ (* -1 (- (* 6 z) 4)) (/ (* y (- (* 6 z) 4)) x))))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* x (- (* 6 z) 4))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(+ (* -1 (* y (- (* 6 z) 4))) (* x (- (* 6 z) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* y (- (* 6 z) 4)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* y (+ (* -1 (- (* 6 z) 4)) (/ (* x (- (* 6 z) 4)) y)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* y (- (* 6 z) 4)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))
(* -1 (* y (- (+ (* -1 (/ (* x (- (* 6 z) 4)) y)) (* 6 z)) 4)))
(*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y))

eval227.0ms (1.6%)

Memory
28.9MiB live, 440.8MiB allocated
Compiler

Compiled 42 697 to 2 507 computations (94.1% saved)

prune264.0ms (1.9%)

Memory
-22.1MiB live, 355.1MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 568131 581
Fresh459
Picked325
Done000
Total1 575201 595
Accuracy
100.0%
Counts
1 595 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
44.1%
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
45.7%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 y x)))
99.5%
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))) x)
52.1%
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 y #s(literal 6 binary64)) x)
52.9%
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 x #s(literal -6 binary64)) x)
99.6%
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
49.0%
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
48.8%
(fma.f64 #s(literal 2/3 binary64) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
99.8%
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
99.5%
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
52.9%
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
52.4%
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
31.6%
(*.f64 y (*.f64 z #s(literal -6 binary64)))
23.2%
(*.f64 y #s(literal 4 binary64))
53.0%
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
27.3%
(*.f64 x (*.f64 #s(literal 6 binary64) z))
27.6%
(*.f64 x #s(literal -3 binary64))
31.6%
(*.f64 #s(literal 6 binary64) (*.f64 z (neg.f64 y)))
27.3%
(*.f64 #s(literal 6 binary64) (*.f64 x z))
Compiler

Compiled 409 to 292 computations (28.6% saved)

simplify516.0ms (3.6%)

Memory
20.5MiB live, 425.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 2/3 binary64) z)
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
cost-diff128
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 6 binary64) (-.f64 x y))
cost-diff0
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
cost-diff0
(*.f64 z #s(literal -6 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal -6 binary64)))
cost-diff0
(*.f64 x #s(literal -3 binary64))
cost-diff0
(neg.f64 z)
cost-diff128
(*.f64 (neg.f64 z) (-.f64 y x))
cost-diff128
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
cost-diff512
(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
Rules
11 248×lower-fma.f32
11 244×lower-fma.f64
1 766×unsub-neg
1 712×lower-*.f32
1 696×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023112
040117
174117
2166102
3503102
41542102
53240102
65556102
76701102
86902102
96944102
106946102
116946102
126946102
136946102
146962102
157038102
167046102
177046102
0704699
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
x
(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(*.f64 (neg.f64 z) (-.f64 y x))
(neg.f64 z)
z
(-.f64 y x)
y
#s(literal 6 binary64)
(*.f64 (-.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(*.f64 y (*.f64 z #s(literal -6 binary64)))
y
(*.f64 z #s(literal -6 binary64))
z
#s(literal -6 binary64)
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
(*.f64 #s(literal 6 binary64) (-.f64 x y))
#s(literal 6 binary64)
(-.f64 x y)
x
y
z
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
(-.f64 y x)
y
x
(-.f64 #s(literal 2/3 binary64) z)
#s(literal 2/3 binary64)
z
#s(literal 6 binary64)
Outputs
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
(fma.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) x)
x
(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(*.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(*.f64 (neg.f64 z) (-.f64 y x))
(*.f64 z (-.f64 x y))
(neg.f64 z)
z
(-.f64 y x)
y
#s(literal 6 binary64)
(*.f64 (-.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 #s(literal -6 binary64) (*.f64 z y))
y
(*.f64 z #s(literal -6 binary64))
z
#s(literal -6 binary64)
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
(*.f64 z (*.f64 (-.f64 y x) #s(literal -6 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x y))
(*.f64 (-.f64 y x) #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x y)
x
y
z
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
(fma.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) x)
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
(-.f64 y x)
y
x
(-.f64 #s(literal 2/3 binary64) z)
#s(literal 2/3 binary64)
z
#s(literal 6 binary64)

localize242.0ms (1.7%)

Memory
-15.0MiB live, 141.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(-.f64 #s(literal 2/3 binary64) z)
accuracy99.7%
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
accuracy99.7%
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
accuracy100.0%
(-.f64 x y)
accuracy99.7%
(*.f64 #s(literal 6 binary64) (-.f64 x y))
accuracy99.3%
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
accuracy100.0%
(*.f64 z #s(literal -6 binary64))
accuracy99.7%
(*.f64 y (*.f64 z #s(literal -6 binary64)))
accuracy100.0%
(*.f64 x #s(literal -3 binary64))
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(*.f64 (neg.f64 z) (-.f64 y x))
accuracy99.9%
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
accuracy99.9%
(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
Samples
35.0ms203×0valid
10.0ms22×1valid
10.0ms22×2valid
5.0ms3valid
Compiler

Compiled 117 to 27 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 17.0ms (46.7% of total)
ival-sub: 5.0ms (13.7% of total)
const: 4.0ms (11% of total)
adjust: 4.0ms (11% of total)
ival-add: 4.0ms (11% of total)
ival-neg: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
15.4MiB live, 52.6MiB allocated
Counts
14 → 360
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -3 binary64)) (patch (*.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 z #s(literal -6 binary64))) (patch (*.f64 y (*.f64 z #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal -6 binary64)) (patch (*.f64 z #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z) (patch (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 6 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 6 binary64) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x) (patch (fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (- y x)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* z (- y x))) (* 4 (- y x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* z (- y x))) (* 4 (- y x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* z (- y x))) (* 4 (- y x))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -6 (* z (- y x))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z)))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -6 (* z (- y x))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x))))) (taylor -inf z) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (* 6 (* x z))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z))))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z))))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z))))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 4 (* -6 z))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (* 6 (/ (* x z) y)))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (* 6 (/ (* x z) y)))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (* 6 (/ (* x z) y)))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 6 z) 4))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 (/ (+ (* -4 x) (* 6 (* x z))) y)) (* 6 z)) 4))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 (/ (+ (* -4 x) (* 6 (* x z))) y)) (* 6 z)) 4))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (+ (* -1 (/ (+ (* -4 x) (* 6 (* x z))) y)) (* 6 z)) 4))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (* 4 y)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 4)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 4)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 4)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 z) 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 4 (* -6 z)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 4 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 4 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 4 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) (patch (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (* 4 y)) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 3)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 3)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 3)))) (taylor 0 x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 z) 3)) (taylor inf x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 3)) (taylor inf x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 3)) (taylor inf x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 3)) (taylor inf x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (* -6 z)))) (taylor -inf x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x)))))) (taylor -inf x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x)))))) (taylor -inf x) (#s(alt (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) (patch (+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* -1 (- 2/3 z)) (/ (* y (- 2/3 z)) x))) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 2/3 z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 2/3 (- y x)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (- y x))) (* 2/3 (- y x))) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (- y x))) (* 2/3 (- y x))) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (- y x))) (* 2/3 (- y x))) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- y x))) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z)))) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z)))) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z)))) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- y x))) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x))) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x))) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x))) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt 2/3 (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
Calls

90 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* y (* z -6))
0.0ms
y
@inf
(* y (* z -6))
0.0ms
z
@inf
(* y (* z -6))
0.0ms
z
@0
(+ (* (* (neg z) (- y x)) 6) (* (- y x) 4))
0.0ms
z
@0
(* y (* z -6))

rewrite389.0ms (2.7%)

Memory
-8.4MiB live, 627.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 170×lower-fma.f32
7 166×lower-fma.f64
4 658×lower-*.f32
4 642×lower-*.f64
3 510×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02385
04085
114185
2108085
0831582
Stop Event
iter limit
node limit
iter limit
Counts
14 → 563
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
(*.f64 (neg.f64 z) (-.f64 y x))
(neg.f64 z)
(*.f64 x #s(literal -3 binary64))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 z #s(literal -6 binary64))
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
(*.f64 #s(literal 6 binary64) (-.f64 x y))
(-.f64 x y)
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
(-.f64 y x)
(-.f64 #s(literal 2/3 binary64) z)
Outputs
(+.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x)))) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal -4 binary64)))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal -4 binary64))))))
(-.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x)))) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (fma.f64 (-.f64 y x) #s(literal 4 binary64) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x)))) (fma.f64 (-.f64 y x) #s(literal 4 binary64) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64))))))
(fma.f64 z (neg.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64))) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (-.f64 y x) #s(literal 4 binary64) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))
(fma.f64 (-.f64 y x) (*.f64 (neg.f64 z) #s(literal 6 binary64)) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (*.f64 z (-.f64 y x))) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 #s(literal 6 binary64) (neg.f64 (*.f64 z (-.f64 y x))) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal -4 binary64)))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64))) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (*.f64 z (-.f64 y x)) #s(literal -6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (neg.f64 z) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 6 binary64) (neg.f64 z)) (-.f64 y x) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))
(fma.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))
(fma.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))
(neg.f64 (fma.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)) (*.f64 (-.f64 y x) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) #s(literal 64 binary64) (*.f64 #s(literal 216 binary64) (*.f64 (neg.f64 (*.f64 z (-.f64 y x))) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x)))))) (fma.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (fma.f64 (-.f64 y x) #s(literal 4 binary64) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x))))))
(/.f64 (fma.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) #s(literal 64 binary64) (*.f64 #s(literal 216 binary64) (*.f64 (neg.f64 (*.f64 z (-.f64 y x))) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x)))))) (fma.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 (*.f64 z z) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 4 binary64) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)))))))
(/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x))) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal -16 binary64))) (fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)) (*.f64 (-.f64 y x) #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) #s(literal 64 binary64) (*.f64 #s(literal 216 binary64) (*.f64 (neg.f64 (*.f64 z (-.f64 y x))) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x))))))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (fma.f64 (-.f64 y x) #s(literal 4 binary64) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x))) #s(literal 64 binary64) (*.f64 #s(literal 216 binary64) (*.f64 (neg.f64 (*.f64 z (-.f64 y x))) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x))))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 (*.f64 z z) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (-.f64 y x) #s(literal 4 binary64)) (*.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x))) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal -16 binary64)))) (fma.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)) (neg.f64 (*.f64 (-.f64 y x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) #s(literal 4 binary64) (*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 8/27 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -4/9 binary64) (*.f64 z z))) (neg.f64 (+.f64 (neg.f64 z) #s(literal -2/3 binary64))))
(/.f64 (fma.f64 (neg.f64 z) (*.f64 z z) #s(literal 8/27 binary64)) (fma.f64 z z (-.f64 #s(literal 4/9 binary64) (*.f64 (neg.f64 z) #s(literal 2/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 z #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 z #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 z #s(literal 2/3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 2/3 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 2/3 binary64))) (*.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 z #s(literal 2/3 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 2/3 binary64)))))))
(/.f64 (-.f64 (*.f64 z z) #s(literal 4/9 binary64)) (-.f64 (neg.f64 z) #s(literal 2/3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))))) (+.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 z #s(literal 2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (+.f64 z #s(literal 2/3 binary64)))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 2/3 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 2/3 binary64))))) (+.f64 (/.f64 #s(literal 4/9 binary64) (+.f64 z #s(literal 2/3 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 2/3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) z)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 8/27 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64))))
(*.f64 (-.f64 #s(literal 8/27 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (fma.f64 z z (*.f64 #s(literal -2/3 binary64) (neg.f64 z))))))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 2/3 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 8/27 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)))))
(*.f64 (+.f64 #s(literal -4/9 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 z) #s(literal -2/3 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2/3 binary64) z))

simplify756.0ms (5.3%)

Memory
4.4MiB live, 693.7MiB allocated
Algorithm
egg-herbie
Rules
17 496×lower-fma.f64
17 496×lower-fma.f32
4 710×lower-+.f64
4 710×lower-+.f32
3 932×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02543362
18163137
226102921
370812887
083732721
Stop Event
iter limit
node limit
Counts
360 → 354
Calls
Call 1
Inputs
(* 4 (- y x))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(+ (* -4 x) (* 6 (* x z)))
(+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z)))))
(+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z)))))
(+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z)))))
(* y (+ 4 (* -6 z)))
(* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (* 6 (/ (* x z) y))))))
(* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (* 6 (/ (* x z) y))))))
(* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (* 6 (/ (* x z) y))))))
(* -1 (* y (- (* 6 z) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ (* -4 x) (* 6 (* x z))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ (* -4 x) (* 6 (* x z))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ (* -4 x) (* 6 (* x z))) y)) (* 6 z)) 4)))
(+ (* -6 (* y z)) (* 4 y))
(+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 4))))
(+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 4))))
(+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 4))))
(* x (- (* 6 z) 4))
(* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 4))
(* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 4))
(* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 4))
(* -1 (* x (+ 4 (* -6 z))))
(* -1 (* x (+ 4 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x))))))
(* -1 (* x (+ 4 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x))))))
(* -1 (* x (+ 4 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x))))))
(+ (* -6 (* y z)) (* 4 y))
(+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 3))))
(+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 3))))
(+ (* -6 (* y z)) (+ (* 4 y) (* x (- (* 6 z) 3))))
(* x (- (* 6 z) 3))
(* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 3))
(* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 3))
(* x (- (+ (* -6 (/ (* y z) x)) (+ (* 4 (/ y x)) (* 6 z))) 3))
(* -1 (* x (+ 3 (* -6 z))))
(* -1 (* x (+ 3 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x))))))
(* -1 (* x (+ 3 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x))))))
(* -1 (* x (+ 3 (+ (* -6 z) (* -1 (/ (+ (* -6 (* y z)) (* 4 y)) x))))))
(+ x (* 4 (- y x)))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(+ x (+ (* -4 x) (* 6 (* x z))))
(+ x (+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z))))))
(+ x (+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z))))))
(+ x (+ (* -4 x) (+ (* 6 (* x z)) (* y (+ 4 (* -6 z))))))
(* y (+ 4 (* -6 z)))
(* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (+ (* 6 (/ (* x z) y)) (/ x y))))))
(* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (+ (* 6 (/ (* x z) y)) (/ x y))))))
(* y (+ 4 (+ (* -6 z) (+ (* -4 (/ x y)) (+ (* 6 (/ (* x z) y)) (/ x y))))))
(* -1 (* y (- (* 6 z) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (+ (* -4 x) (* 6 (* x z)))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (+ (* -4 x) (* 6 (* x z)))) y)) (* 6 z)) 4)))
(* -1 (* y (- (+ (* -1 (/ (+ x (+ (* -4 x) (* 6 (* x z)))) y)) (* 6 z)) 4)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* -1 (* z (- y x)))
(* x z)
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(* -1 (* y z))
(* y (+ (* -1 z) (/ (* x z) y)))
(* y (+ (* -1 z) (/ (* x z) y)))
(* y (+ (* -1 z) (/ (* x z) y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ (* x z) y)))))
(* -1 (* y (+ z (* -1 (/ (* x z) y)))))
(* -1 (* y (+ z (* -1 (/ (* x z) y)))))
(* -1 (* y z))
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(+ (* -1 (* y z)) (* x z))
(* x z)
(* x (+ z (* -1 (/ (* y z) x))))
(* x (+ z (* -1 (/ (* y z) x))))
(* x (+ z (* -1 (/ (* y z) x))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x (+ (* -1 z) (/ (* y z) x))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 (* y z))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(* 6 (* x z))
(* x (+ (* -6 (/ (* y z) x)) (* 6 z)))
(* x (+ (* -6 (/ (* y z) x)) (* 6 z)))
(* x (+ (* -6 (/ (* y z) x)) (* 6 z)))
(* 6 (* x z))
(* -1 (* x (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* 6 (* x z))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(+ (* -6 (* y z)) (* 6 (* x z)))
(* -6 (* y z))
(* y (+ (* -6 z) (* 6 (/ (* x z) y))))
(* y (+ (* -6 z) (* 6 (/ (* x z) y))))
(* y (+ (* -6 z) (* 6 (/ (* x z) y))))
(* -6 (* y z))
(* -1 (* y (+ (* -6 (/ (* x z) y)) (* 6 z))))
(* -1 (* y (+ (* -6 (/ (* x z) y)) (* 6 z))))
(* -1 (* y (+ (* -6 (/ (* x z) y)) (* 6 z))))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* 6 (* z (- x y)))
(* -6 y)
(+ (* -6 y) (* 6 x))
(+ (* -6 y) (* 6 x))
(+ (* -6 y) (* 6 x))
(* 6 x)
(* x (+ 6 (* -6 (/ y x))))
(* x (+ 6 (* -6 (/ y x))))
(* x (+ 6 (* -6 (/ y x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ y x)) 6)))
(* -1 (* x (- (* 6 (/ y x)) 6)))
(* -1 (* x (- (* 6 (/ y x)) 6)))
(* 6 x)
(+ (* -6 y) (* 6 x))
(+ (* -6 y) (* 6 x))
(+ (* -6 y) (* 6 x))
(* -6 y)
(* y (- (* 6 (/ x y)) 6))
(* y (- (* 6 (/ x y)) 6))
(* y (- (* 6 (/ x y)) 6))
(* -6 y)
(* -1 (* y (+ 6 (* -6 (/ x y)))))
(* -1 (* y (+ 6 (* -6 (/ x y)))))
(* -1 (* y (+ 6 (* -6 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* -6 (* x (- 2/3 z))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(* 6 (* y (- 2/3 z)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* 6 (* y (- 2/3 z)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* 6 (* y (- 2/3 z)))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(* x (+ 1 (* -6 (- 2/3 z))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* -1 (* x (- (* 6 (- 2/3 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(+ x (* 4 (- y x)))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* x (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(* y (- 2/3 z))
(* y (- (+ 2/3 (* -1 (/ (* x (- 2/3 z)) y))) z))
(* y (- (+ 2/3 (* -1 (/ (* x (- 2/3 z)) y))) z))
(* y (- (+ 2/3 (* -1 (/ (* x (- 2/3 z)) y))) z))
(* y (- 2/3 z))
(* -1 (* y (+ (* -1 (- 2/3 z)) (/ (* x (- 2/3 z)) y))))
(* -1 (* y (+ (* -1 (- 2/3 z)) (/ (* x (- 2/3 z)) y))))
(* -1 (* y (+ (* -1 (- 2/3 z)) (/ (* x (- 2/3 z)) y))))
(* y (- 2/3 z))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(* -1 (* x (- 2/3 z)))
(* x (+ (* -1 (- 2/3 z)) (/ (* y (- 2/3 z)) x)))
(* x (+ (* -1 (- 2/3 z)) (/ (* y (- 2/3 z)) x)))
(* x (+ (* -1 (- 2/3 z)) (/ (* y (- 2/3 z)) x)))
(* -1 (* x (- 2/3 z)))
(* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z)))
(* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z)))
(* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z)))
(* 2/3 (- y x))
(+ (* -1 (* z (- y x))) (* 2/3 (- y x)))
(+ (* -1 (* z (- y x))) (* 2/3 (- y x)))
(+ (* -1 (* z (- y x))) (* 2/3 (- y x)))
(* -1 (* z (- y x)))
(* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z))))
(* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z))))
(* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z))))
(* -1 (* z (- y x)))
(* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x)))
(* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x)))
(* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
2/3
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(* -1 z)
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
Outputs
(* 4 (- y x))
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(fma.f64 (/.f64 x y) (neg.f64 y) y)
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 x y) (neg.f64 y) y)
y
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 y) y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 y) y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 x y) (neg.f64 y) y)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 (/.f64 (*.f64 x y) x) x)
(* x (- (/ y x) 1))
(-.f64 (/.f64 (*.f64 x y) x) x)
(* x (- (/ y x) 1))
(-.f64 (/.f64 (*.f64 x y) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 (/.f64 (*.f64 x y) x) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 (/.f64 (*.f64 x y) x) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 (/.f64 (*.f64 x y) x) x)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) z) z) z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) z) z) z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) z) z) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(neg.f64 (fma.f64 z (/.f64 #s(literal -2/3 binary64) z) z))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(neg.f64 (fma.f64 z (/.f64 #s(literal -2/3 binary64) z) z))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(neg.f64 (fma.f64 z (/.f64 #s(literal -2/3 binary64) z) z))

eval277.0ms (1.9%)

Memory
-10.3MiB live, 181.5MiB allocated
Compiler

Compiled 25 238 to 2 311 computations (90.8% saved)

prune741.0ms (5.2%)

Memory
21.8MiB live, 145.1MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1 02691 035
Fresh6713
Picked235
Done022
Total1 034211 055
Accuracy
100.0%
Counts
1 055 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
44.1%
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
45.7%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 y x)))
52.1%
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 y #s(literal 6 binary64)) x)
48.8%
(fma.f64 (*.f64 (-.f64 y x) #s(literal 2/3 binary64)) #s(literal 6 binary64) x)
81.0%
(fma.f64 (*.f64 z (*.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) z)))) #s(literal 6 binary64) x)
52.9%
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
49.0%
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
74.3%
(+.f64 x (fma.f64 (*.f64 x z) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
99.5%
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
31.6%
(*.f64 (*.f64 z y) #s(literal -6 binary64))
32.0%
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
27.3%
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
52.9%
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
52.4%
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
31.6%
(*.f64 y (*.f64 z #s(literal -6 binary64)))
23.2%
(*.f64 y #s(literal 4 binary64))
53.0%
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
27.3%
(*.f64 x (*.f64 z #s(literal 6 binary64)))
27.6%
(*.f64 x #s(literal -3 binary64))
27.3%
(*.f64 #s(literal 6 binary64) (*.f64 x z))
Compiler

Compiled 387 to 278 computations (28.2% saved)

simplify464.0ms (3.3%)

Memory
8.6MiB live, 409.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 y x))
cost-diff0
(/.f64 x y)
cost-diff1024
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
cost-diff0
(+.f64 z #s(literal -2/3 binary64))
cost-diff0
(*.f64 x (+.f64 z #s(literal -2/3 binary64)))
cost-diff192
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
cost-diff0
(*.f64 y #s(literal -6 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
cost-diff128
(*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))
cost-diff128
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
Rules
13 170×lower-fma.f32
13 166×lower-fma.f64
3 080×lower-*.f32
3 066×lower-*.f64
1 444×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02298
03898
16998
213497
331694
486994
5259494
6688294
0827689
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
x
(*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
(-.f64 y x)
y
(-.f64 #s(literal 2/3 binary64) z)
#s(literal 2/3 binary64)
z
#s(literal 6 binary64)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 y #s(literal -6 binary64))
y
#s(literal -6 binary64)
z
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
(*.f64 x (+.f64 z #s(literal -2/3 binary64)))
x
(+.f64 z #s(literal -2/3 binary64))
z
#s(literal -2/3 binary64)
#s(literal 6 binary64)
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
(/.f64 x y)
x
y
(*.f64 #s(literal 4 binary64) (-.f64 y x))
#s(literal 4 binary64)
(-.f64 y x)
Outputs
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
(fma.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) x)
x
(*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))
(*.f64 (-.f64 y x) (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
(-.f64 y x)
y
(-.f64 #s(literal 2/3 binary64) z)
#s(literal 2/3 binary64)
z
#s(literal 6 binary64)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 y #s(literal -6 binary64))
y
#s(literal -6 binary64)
z
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
(*.f64 x (+.f64 z #s(literal -2/3 binary64)))
x
(+.f64 z #s(literal -2/3 binary64))
z
#s(literal -2/3 binary64)
#s(literal 6 binary64)
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
(fma.f64 (-.f64 y x) #s(literal 4 binary64) x)
(/.f64 x y)
x
y
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(*.f64 (-.f64 y x) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 y x)

localize101.0ms (0.7%)

Memory
-23.9MiB live, 253.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 y x))
accuracy85.5%
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
accuracy100.0%
(+.f64 z #s(literal -2/3 binary64))
accuracy99.7%
(*.f64 x (+.f64 z #s(literal -2/3 binary64)))
accuracy99.6%
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
accuracy100.0%
(*.f64 y #s(literal -6 binary64))
accuracy99.3%
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
accuracy100.0%
(*.f64 y #s(literal 4 binary64))
accuracy100.0%
(-.f64 #s(literal 2/3 binary64) z)
accuracy99.9%
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
accuracy99.7%
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
accuracy99.7%
(*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))
Samples
38.0ms200×0valid
17.0ms20×2valid
9.0ms14×3valid
7.0ms21×1valid
1.0ms4valid
Compiler

Compiled 102 to 26 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 19.0ms (41% of total)
const: 9.0ms (19.4% of total)
ival-add: 6.0ms (12.9% of total)
ival-sub: 5.0ms (10.8% of total)
adjust: 4.0ms (8.6% of total)
ival-div: 3.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-13.1MiB live, 36.7MiB allocated
Counts
14 → 324
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)) (patch (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (patch (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 4 binary64)) (patch (*.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal -6 binary64)) z) (patch (*.f64 (*.f64 y #s(literal -6 binary64)) z) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal -6 binary64)) (patch (*.f64 y #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x) (patch (fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 z #s(literal -2/3 binary64))) (patch (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 z #s(literal -2/3 binary64)) (patch (+.f64 z #s(literal -2/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x))) (patch (fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())
Outputs
#s(alt (* 6 (* y (- 2/3 z))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z))))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -6 (- 2/3 z)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))) (taylor inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 (- 2/3 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -6 (* x (- 2/3 z)))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y (- 2/3 z))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) (patch (+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -4 x) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (* 4 y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (* 4 y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (* 4 y)) (taylor 0 y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 4 (* -4 (/ x y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 4 (* -4 (/ x y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 4 (* -4 (/ x y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 4 (/ x y)) 4))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 4 (/ x y)) 4))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 4 (/ x y)) 4))) (taylor -inf y) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (* 4 y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (* 4 y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 x) (* 4 y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -4 x) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 4 (/ y x)) 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 4 (/ y x)) 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 4 (/ y x)) 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 4 (* -4 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 4 (* -4 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 4 (* -4 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 y x)) (patch (*.f64 #s(literal 4 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 2/3 (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 2/3 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 2/3 (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 2/3 (/ 1 z))))) (taylor -inf z) (#s(alt (-.f64 #s(literal 2/3 binary64) z) (patch (-.f64 #s(literal 2/3 binary64) z) #<representation binary64>) () ())) ())
Calls

81 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* (* x (+ z -2/3)) 6) x)
1.0ms
x
@inf
(+ (* (* x (+ z -2/3)) 6) x)
0.0ms
z
@-inf
(+ (* (* x (+ z -2/3)) 6) x)
0.0ms
z
@0
(+ (* (* x (+ z -2/3)) 6) x)
0.0ms
z
@inf
(+ (* (* x (+ z -2/3)) 6) x)

rewrite534.0ms (3.7%)

Memory
37.2MiB live, 576.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 950×lower-fma.f32
10 946×lower-fma.f64
5 598×lower-*.f32
5 584×lower-*.f64
3 262×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02278
03878
114678
2107175
0925372
Stop Event
iter limit
node limit
iter limit
Counts
14 → 591
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
(*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64))
(*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))
(-.f64 y x)
(*.f64 y #s(literal 4 binary64))
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 y #s(literal -6 binary64))
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
(*.f64 x (+.f64 z #s(literal -2/3 binary64)))
(+.f64 z #s(literal -2/3 binary64))
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
(/.f64 x y)
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(-.f64 #s(literal 2/3 binary64) z)
Outputs
(+.f64 x (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64)))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) (fma.f64 (-.f64 y x) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 y (/.f64 x y) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (-.f64 y x) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
(fma.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) x)
(fma.f64 (/.f64 x y) y (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64)))))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (-.f64 y x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) (-.f64 #s(literal 2/3 binary64) z) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 #s(literal 2/3 binary64) z) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) x)
(fma.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (*.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) (-.f64 #s(literal 8/27 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) x)
(fma.f64 (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) (-.f64 #s(literal 4/9 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) z)) x)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) #s(literal 216 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))) (fma.f64 (-.f64 y x) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (neg.f64 x)) (*.f64 x x)))))
(neg.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) (+.f64 z #s(literal -2/3 binary64))) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z))))) (neg.f64 (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) #s(literal 216 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))) (fma.f64 (-.f64 y x) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (neg.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) (+.f64 z #s(literal -2/3 binary64))) (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))))) (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) #s(literal 216 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64))) (fma.f64 (-.f64 y x) (fma.f64 #s(literal 6 binary64) (neg.f64 z) #s(literal 4 binary64)) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)))) #s(literal 216 binary64))) (fma.f64 (-.f64 y x) (*.f64 (*.f64 #s(literal 36 binary64) (*.f64 (-.f64 #s(literal 2/3 binary64) z) (-.f64 #s(literal 2/3 binary64) z))) (-.f64 y x)) (*.f64 x (+.f64 x (*.f64 (+.f64 z #s(literal -2/3 binary64)) (*.f64 (-.f64 y x) #s(literal 6 binary64)))))))
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simplify328.0ms (2.3%)

Memory
6.6MiB live, 526.4MiB allocated
Algorithm
egg-herbie
Rules
13 772×lower-fma.f64
13 772×lower-fma.f32
4 088×lower-*.f64
4 088×lower-*.f32
1 856×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02092334
16652019
220471849
359541849
083451752
Stop Event
iter limit
node limit
Counts
324 → 319
Calls
Call 1
Inputs
(* 6 (* y (- 2/3 z)))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(* x (+ 1 (* -6 (- 2/3 z))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(* -1 (* x (- (* 6 (- 2/3 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(+ x (* -6 (* x (- 2/3 z))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(* 6 (* y (- 2/3 z)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(* 6 (* y (- 2/3 z)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(+ x (* 4 (- y x)))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(* -6 (* x (- 2/3 z)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(* 6 (* y (- 2/3 z)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(* 6 (* y (- 2/3 z)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(* 6 (* y (- 2/3 z)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(* -6 (* x (- 2/3 z)))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(* x (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x))))
(* -6 (* x (- 2/3 z)))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(* -1 (* x (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z)))))
(* 4 (- y x))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(+ (* -6 (* z (- y x))) (* 4 (- y x)))
(* -6 (* z (- y x)))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* z (+ (* -6 (- y x)) (* 4 (/ (- y x) z))))
(* -6 (* z (- y x)))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -1 (* z (+ (* -4 (/ (- y x) z)) (* 6 (- y x)))))
(* -1 (* x (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(* y (- 2/3 z))
(* y (- (+ 2/3 (* -1 (/ (* x (- 2/3 z)) y))) z))
(* y (- (+ 2/3 (* -1 (/ (* x (- 2/3 z)) y))) z))
(* y (- (+ 2/3 (* -1 (/ (* x (- 2/3 z)) y))) z))
(* y (- 2/3 z))
(* -1 (* y (+ (* -1 (- 2/3 z)) (/ (* x (- 2/3 z)) y))))
(* -1 (* y (+ (* -1 (- 2/3 z)) (/ (* x (- 2/3 z)) y))))
(* -1 (* y (+ (* -1 (- 2/3 z)) (/ (* x (- 2/3 z)) y))))
(* y (- 2/3 z))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(+ (* -1 (* x (- 2/3 z))) (* y (- 2/3 z)))
(* -1 (* x (- 2/3 z)))
(* x (+ (* -1 (- 2/3 z)) (/ (* y (- 2/3 z)) x)))
(* x (+ (* -1 (- 2/3 z)) (/ (* y (- 2/3 z)) x)))
(* x (+ (* -1 (- 2/3 z)) (/ (* y (- 2/3 z)) x)))
(* -1 (* x (- 2/3 z)))
(* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z)))
(* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z)))
(* -1 (* x (- (+ 2/3 (* -1 (/ (* y (- 2/3 z)) x))) z)))
(* 2/3 (- y x))
(+ (* -1 (* z (- y x))) (* 2/3 (- y x)))
(+ (* -1 (* z (- y x))) (* 2/3 (- y x)))
(+ (* -1 (* z (- y x))) (* 2/3 (- y x)))
(* -1 (* z (- y x)))
(* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z))))
(* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z))))
(* z (+ (* -1 (- y x)) (* 2/3 (/ (- y x) z))))
(* -1 (* z (- y x)))
(* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x)))
(* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x)))
(* -1 (* z (- (+ y (* -2/3 (/ (- y x) z))) x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 (* y z))
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* -6 y)
(* x (+ 1 (* 6 (- z 2/3))))
(* x (+ 1 (* 6 (- z 2/3))))
(* x (+ 1 (* 6 (- z 2/3))))
(* x (+ 1 (* 6 (- z 2/3))))
(* x (+ 1 (* 6 (- z 2/3))))
(* x (+ 1 (* 6 (- z 2/3))))
(* x (+ 1 (* 6 (- z 2/3))))
(* x (+ 1 (* 6 (- z 2/3))))
(* -1 (* x (- (* -6 (- z 2/3)) 1)))
(* -1 (* x (- (* -6 (- z 2/3)) 1)))
(* -1 (* x (- (* -6 (- z 2/3)) 1)))
(* -1 (* x (- (* -6 (- z 2/3)) 1)))
(+ x (* -4 x))
(+ x (+ (* -4 x) (* 6 (* x z))))
(+ x (+ (* -4 x) (* 6 (* x z))))
(+ x (+ (* -4 x) (* 6 (* x z))))
(* 6 (* x z))
(* z (+ (* -4 (/ x z)) (+ (* 6 x) (/ x z))))
(* z (+ (* -4 (/ x z)) (+ (* 6 x) (/ x z))))
(* z (+ (* -4 (/ x z)) (+ (* 6 x) (/ x z))))
(* 6 (* x z))
(* -1 (* z (+ (* -6 x) (* -1 (/ (+ x (* -4 x)) z)))))
(* -1 (* z (+ (* -6 x) (* -1 (/ (+ x (* -4 x)) z)))))
(* -1 (* z (+ (* -6 x) (* -1 (/ (+ x (* -4 x)) z)))))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* x (- z 2/3))
(* -2/3 x)
(+ (* -2/3 x) (* x z))
(+ (* -2/3 x) (* x z))
(+ (* -2/3 x) (* x z))
(* x z)
(* z (+ x (* -2/3 (/ x z))))
(* z (+ x (* -2/3 (/ x z))))
(* z (+ x (* -2/3 (/ x z))))
(* x z)
(* -1 (* z (+ (* -1 x) (* 2/3 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* 2/3 (/ x z)))))
(* -1 (* z (+ (* -1 x) (* 2/3 (/ x z)))))
-2/3
(- z 2/3)
(- z 2/3)
(- z 2/3)
z
(* z (- 1 (* 2/3 (/ 1 z))))
(* z (- 1 (* 2/3 (/ 1 z))))
(* z (- 1 (* 2/3 (/ 1 z))))
z
(* -1 (* z (- (* 2/3 (/ 1 z)) 1)))
(* -1 (* z (- (* 2/3 (/ 1 z)) 1)))
(* -1 (* z (- (* 2/3 (/ 1 z)) 1)))
(* 4 y)
(+ (* -3 x) (* 4 y))
(+ (* -3 x) (* 4 y))
(+ (* -3 x) (* 4 y))
(* -3 x)
(* x (- (* 4 (/ y x)) 3))
(* x (- (* 4 (/ y x)) 3))
(* x (- (* 4 (/ y x)) 3))
(* -3 x)
(* -1 (* x (+ 3 (* -4 (/ y x)))))
(* -1 (* x (+ 3 (* -4 (/ y x)))))
(* -1 (* x (+ 3 (* -4 (/ y x)))))
(+ x (* -4 x))
(+ x (+ (* -4 x) (* 4 y)))
(+ x (+ (* -4 x) (* 4 y)))
(+ x (+ (* -4 x) (* 4 y)))
(* 4 y)
(* y (+ 4 (+ (* -4 (/ x y)) (/ x y))))
(* y (+ 4 (+ (* -4 (/ x y)) (/ x y))))
(* y (+ 4 (+ (* -4 (/ x y)) (/ x y))))
(* 4 y)
(* -1 (* y (- (* -1 (/ (+ x (* -4 x)) y)) 4)))
(* -1 (* y (- (* -1 (/ (+ x (* -4 x)) y)) 4)))
(* -1 (* y (- (* -1 (/ (+ x (* -4 x)) y)) 4)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -4 x)
(+ (* -4 x) (* 4 y))
(+ (* -4 x) (* 4 y))
(+ (* -4 x) (* 4 y))
(* 4 y)
(* y (+ 4 (* -4 (/ x y))))
(* y (+ 4 (* -4 (/ x y))))
(* y (+ 4 (* -4 (/ x y))))
(* 4 y)
(* -1 (* y (- (* 4 (/ x y)) 4)))
(* -1 (* y (- (* 4 (/ x y)) 4)))
(* -1 (* y (- (* 4 (/ x y)) 4)))
(* 4 y)
(+ (* -4 x) (* 4 y))
(+ (* -4 x) (* 4 y))
(+ (* -4 x) (* 4 y))
(* -4 x)
(* x (- (* 4 (/ y x)) 4))
(* x (- (* 4 (/ y x)) 4))
(* x (- (* 4 (/ y x)) 4))
(* -4 x)
(* -1 (* x (+ 4 (* -4 (/ y x)))))
(* -1 (* x (+ 4 (* -4 (/ y x)))))
(* -1 (* x (+ 4 (* -4 (/ y x)))))
2/3
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(+ 2/3 (* -1 z))
(* -1 z)
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* z (- (* 2/3 (/ 1 z)) 1))
(* -1 z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
Outputs
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ (* 6 (* y (- 2/3 z))) (* x (+ 1 (* -6 (- 2/3 z)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* x (+ 1 (* -6 (- 2/3 z))))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* x (+ 1 (+ (* -6 (- 2/3 z)) (* 6 (/ (* y (- 2/3 z)) x)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* x (- (* 6 (- 2/3 z)) 1)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* x (- (+ (* -6 (/ (* y (- 2/3 z)) x)) (* 6 (- 2/3 z))) 1)))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ x (* -6 (* x (- 2/3 z))))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ x (+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (+ (* 6 (- 2/3 z)) (/ x y))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* y (+ (* -6 (- 2/3 z)) (* -1 (/ (+ x (* -6 (* x (- 2/3 z)))) y)))))
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ x (* 4 (- y x)))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* z (- y x))) (* 4 (- y x))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) x)
(* -6 (* z (- y x)))
(*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) (/.f64 (*.f64 z x) z))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) (/.f64 (*.f64 z x) z))
(* z (+ (* -6 (- y x)) (+ (* 4 (/ (- y x) z)) (/ x z))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) (/.f64 (*.f64 z x) z))
(* -6 (* z (- y x)))
(*.f64 #s(literal -6 binary64) (*.f64 z (-.f64 y x)))
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -1 (/ (+ x (* 4 (- y x))) z)) (* 6 (- y x)))))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) x)
(* -6 (* x (- 2/3 z)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(* y (+ (* -6 (/ (* x (- 2/3 z)) y)) (* 6 (- 2/3 z))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(* -1 (* y (+ (* -6 (- 2/3 z)) (* 6 (/ (* x (- 2/3 z)) y)))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(* 6 (* y (- 2/3 z)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
(*.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 #s(literal 6 binary64) (-.f64 y x)))
(+ (* -6 (* x (- 2/3 z))) (* 6 (* y (- 2/3 z))))
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(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(+ (* -4 x) (* 4 y))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(+ (* -4 x) (* 4 y))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(+ (* -4 x) (* 4 y))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* y (+ 4 (* -4 (/ x y))))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* y (+ 4 (* -4 (/ x y))))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* y (+ 4 (* -4 (/ x y))))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* -1 (* y (- (* 4 (/ x y)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* -1 (* y (- (* 4 (/ x y)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* -1 (* y (- (* 4 (/ x y)) 4)))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(+ (* -4 x) (* 4 y))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(+ (* -4 x) (* 4 y))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(+ (* -4 x) (* 4 y))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 4 (/ y x)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* x (- (* 4 (/ y x)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* x (- (* 4 (/ y x)) 4))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -1 (* x (+ 4 (* -4 (/ y x)))))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* -1 (* x (+ 4 (* -4 (/ y x)))))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
(* -1 (* x (+ 4 (* -4 (/ y x)))))
(*.f64 #s(literal 4 binary64) (-.f64 y x))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(+ 2/3 (* -1 z))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 #s(literal 2/3 binary64) z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 #s(literal 2/3 binary64) z)
(* z (- (* 2/3 (/ 1 z)) 1))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(-.f64 #s(literal 2/3 binary64) z)
(* -1 (* z (- 1 (* 2/3 (/ 1 z)))))
(-.f64 #s(literal 2/3 binary64) z)

eval147.0ms (1%)

Memory
-32.3MiB live, 251.0MiB allocated
Compiler

Compiled 18 695 to 2 118 computations (88.7% saved)

prune187.0ms (1.3%)

Memory
30.9MiB live, 229.8MiB allocated
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New9748982
Fresh5611
Picked235
Done055
Total981221 003
Accuracy
100.0%
Counts
1 003 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) (/.f64 (*.f64 z x) z))
99.8%
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
22.7%
(fma.f64 (/.f64 x y) y (*.f64 x #s(literal -4 binary64)))
45.7%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
52.1%
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 y #s(literal 6 binary64)) x)
52.9%
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
27.5%
(fma.f64 (*.f64 x #s(literal -2/3 binary64)) #s(literal 6 binary64) x)
49.0%
(fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x))
53.0%
(fma.f64 #s(literal 6 binary64) (*.f64 x z) (fma.f64 #s(literal -4 binary64) x x))
49.0%
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
52.1%
(+.f64 x (*.f64 (*.f64 y (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
31.6%
(*.f64 (*.f64 z y) #s(literal -6 binary64))
32.0%
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
27.3%
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
52.9%
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
52.4%
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
31.6%
(*.f64 y (*.f64 z #s(literal -6 binary64)))
23.2%
(*.f64 y #s(literal 4 binary64))
53.0%
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
27.3%
(*.f64 x (*.f64 z #s(literal 6 binary64)))
27.6%
(*.f64 x #s(literal -3 binary64))
27.3%
(*.f64 #s(literal 6 binary64) (*.f64 z x))
Compiler

Compiled 633 to 285 computations (55% saved)

regimes80.0ms (0.6%)

Memory
5.9MiB live, 120.8MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 (*.f64 z y) #s(literal -6 binary64))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal -2/3 binary64)) #s(literal 6 binary64) x)
(*.f64 #s(literal 6 binary64) (*.f64 z (neg.f64 y)))
(fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
(+.f64 x (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 2/3 binary64)) #s(literal 6 binary64) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 y #s(literal 6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(+.f64 x (*.f64 (*.f64 y (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) (*.f64 x z) (fma.f64 #s(literal -4 binary64) x x))
(fma.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(+.f64 x (*.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 2/3 binary64) z)) #s(literal 6 binary64)))
(+.f64 x (fma.f64 (*.f64 x z) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
(fma.f64 (/.f64 x y) y (*.f64 x #s(literal -4 binary64)))
(fma.f64 (/.f64 x y) y (*.f64 #s(literal 4 binary64) (-.f64 y x)))
(+.f64 x (fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 6 binary64) (*.f64 (-.f64 y x) #s(literal 4 binary64))))
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 #s(literal 4 binary64) (-.f64 y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (*.f64 (-.f64 y x) #s(literal 4 binary64)))
(fma.f64 y (/.f64 x y) (*.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y)))
(fma.f64 (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 y x) (/.f64 (*.f64 z x) z))
(fma.f64 (*.f64 z (*.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) z)))) #s(literal 6 binary64) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))) x)
(fma.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))) (-.f64 #s(literal 4/9 binary64) (*.f64 z z))) (-.f64 #s(literal 2/3 binary64) z) x)
(fma.f64 (*.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) (fma.f64 z (*.f64 z (neg.f64 z)) #s(literal 8/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 2/3 binary64) z) #s(literal 4/9 binary64))) x)
(fma.f64 (/.f64 (*.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 z z)))) (fma.f64 z (*.f64 z z) #s(literal 8/27 binary64))) (fma.f64 z (-.f64 z #s(literal 2/3 binary64)) #s(literal 4/9 binary64)) x)
Outputs
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
Calls

5 calls:

25.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
14.0ms
z
14.0ms
x
12.0ms
y
12.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
99.8%1(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes48.0ms (0.3%)

Memory
-26.8MiB live, 91.0MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 (*.f64 z y) #s(literal -6 binary64))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal -2/3 binary64)) #s(literal 6 binary64) x)
(*.f64 #s(literal 6 binary64) (*.f64 z (neg.f64 y)))
(fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
(+.f64 x (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64))))
(fma.f64 #s(literal 2/3 binary64) (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(fma.f64 (*.f64 x (+.f64 z #s(literal -2/3 binary64))) #s(literal 6 binary64) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 2/3 binary64)) #s(literal 6 binary64) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (-.f64 #s(literal 2/3 binary64) z) (*.f64 y #s(literal 6 binary64)) x)
Outputs
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
(fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x))
(*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)
Calls

5 calls:

12.0ms
z
9.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
8.0ms
x
7.0ms
y
7.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
Results
AccuracySegmentsBranch
79.8%3x
82.5%3y
98.2%3z
74.7%3(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
98.2%3(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes12.0ms (0.1%)

Memory
33.5MiB live, 33.5MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 (*.f64 z y) #s(literal -6 binary64))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal -2/3 binary64)) #s(literal 6 binary64) x)
(*.f64 #s(literal 6 binary64) (*.f64 z (neg.f64 y)))
(fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
Outputs
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
(fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x))
(*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))
Calls

2 calls:

6.0ms
z
6.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
98.1%3z
98.1%3(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes20.0ms (0.1%)

Memory
4.3MiB live, 42.5MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 (*.f64 z y) #s(literal -6 binary64))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal -2/3 binary64)) #s(literal 6 binary64) x)
(*.f64 #s(literal 6 binary64) (*.f64 z (neg.f64 y)))
(fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x))
Outputs
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))
Calls

3 calls:

8.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
6.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
82.5%3y
80.2%4z
80.2%4(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes47.0ms (0.3%)

Memory
-5.4MiB live, 32.5MiB allocated
Counts
13 → 4
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(*.f64 (*.f64 z y) #s(literal -6 binary64))
(*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64)))
(*.f64 x (fma.f64 z #s(literal 6 binary64) #s(literal -3 binary64)))
Outputs
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
(*.f64 (*.f64 y #s(literal -6 binary64)) z)
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 y (*.f64 z #s(literal -6 binary64)))
Calls

4 calls:

33.0ms
y
5.0ms
z
4.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
79.8%4z
79.8%4(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
66.6%3x
70.9%4y
Compiler

Compiled 20 to 16 computations (20% saved)

regimes87.0ms (0.6%)

Memory
-50.9MiB live, 10.6MiB allocated
Counts
9 → 4
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
Outputs
(*.f64 (*.f64 x #s(literal 6 binary64)) z)
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 y (*.f64 z #s(literal -6 binary64)))
Calls

2 calls:

3.0ms
z
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
79.7%4z
79.7%4(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes7.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
Outputs
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 y (*.f64 z #s(literal -6 binary64)))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 y (*.f64 z #s(literal -6 binary64)))
Calls

2 calls:

3.0ms
z
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
79.7%4z
79.7%4(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes9.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(*.f64 x (*.f64 z #s(literal 6 binary64)))
Outputs
(*.f64 x (*.f64 #s(literal 6 binary64) z))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 x (*.f64 #s(literal 6 binary64) z))
Calls

3 calls:

3.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
3.0ms
z
3.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
61.0%3(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
73.2%3z
73.2%3(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes11.0ms (0.1%)

Memory
-28.3MiB live, 10.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(*.f64 #s(literal 6 binary64) (*.f64 z x))
Outputs
(*.f64 #s(literal 6 binary64) (*.f64 x z))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(*.f64 #s(literal 6 binary64) (*.f64 x z))
Calls

2 calls:

9.0ms
z
2.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
73.1%3z
73.1%3(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes10.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
Outputs
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
Calls

5 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
49.0%1(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
49.0%1x
49.0%1y
49.0%1z
49.0%1(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes69.0ms (0.5%)

Memory
-19.9MiB live, 18.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
Outputs
(*.f64 y #s(literal 4 binary64))
(*.f64 x #s(literal -3 binary64))
(*.f64 y #s(literal 4 binary64))
Calls

5 calls:

63.0ms
y
2.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
2.0ms
x
2.0ms
z
1.0ms
(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Results
AccuracySegmentsBranch
41.1%3y
39.4%3x
30.7%3z
29.3%2(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
27.6%1(-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes6.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -3 binary64))
Outputs
(*.f64 x #s(literal -3 binary64))
Calls

4 calls:

1.0ms
x
1.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
27.6%1z
27.6%1(+.f64 x (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z)))
27.6%1x
27.6%1y
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6666666916955468
746285460675973.0
0.0ms
-0.32193329891185296
0.6666666503359594
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6666666916955468
746285460675973.0
0.0ms
-0.32193329891185296
0.6666666503359594
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch46.0ms (0.3%)

Memory
22.2MiB live, 59.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
2.4210993866033504e-25
2.611639522391764e-13
15.0ms
-7.549376041337664e-32
-8.137126902322786e-37
Samples
28.0ms277×0valid
3.0ms24×1valid
1.0ms2valid
Compiler

Compiled 399 to 322 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (63.5% of total)
ival-sub: 3.0ms (12.7% of total)
ival-div: 2.0ms (8.5% of total)
adjust: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6666666916955468
746285460675973.0
0.0ms
-0.32193329891185296
0.6666666503359594
0.0ms
-1.8840536915736154e+160
-1.3327611656437549e+157
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6666666916955468
746285460675973.0
0.0ms
-0.32193329891185296
0.6666666503359594
0.0ms
-1.8840536915736154e+160
-1.3327611656437549e+157
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6666666916955468
746285460675973.0
0.0ms
-0.32193329891185296
0.6666666503359594
0.0ms
-1.8840536915736154e+160
-1.3327611656437549e+157
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8905594305473862e+20
8.320241753434079e+24
0.0ms
-0.32193329891185296
0.6666666503359594
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8905594305473862e+20
8.320241753434079e+24
0.0ms
-0.32193329891185296
0.6666666503359594
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch18.0ms (0.1%)

Memory
-24.5MiB live, 17.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.4210993866033504e-25
2.611639522391764e-13
3.0ms
-7.549376041337664e-32
-8.137126902322786e-37
Samples
7.0ms114×0valid
2.0ms14×1valid
Compiler

Compiled 285 to 246 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (36.3% of total)
ival-div: 1.0ms (18.2% of total)
ival-add: 1.0ms (18.2% of total)
ival-sub: 1.0ms (18.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
-10.7MiB live, 27.1MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071334
198334
2108334
3114334
4117334
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x)) (*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))))
(if (<=.f64 y #s(literal -35681192317649/713623846352979940529142984724747568191373312 binary64)) (*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64))) (if (<=.f64 y #s(literal 7352373481323731/1267650600228229401496703205376 binary64)) (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64))) (*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 (*.f64 x #s(literal 6 binary64)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 y #s(literal -6 binary64)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 (*.f64 x #s(literal 6 binary64)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 y (*.f64 z #s(literal -6 binary64))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 x (*.f64 #s(literal 6 binary64) z)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 y (*.f64 z #s(literal -6 binary64))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x (*.f64 #s(literal 6 binary64) z)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 200000000000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 x (*.f64 #s(literal 6 binary64) z))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x z)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 200000000000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 #s(literal 6 binary64) (*.f64 x z))))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(if (<=.f64 y #s(literal -35681192317649/713623846352979940529142984724747568191373312 binary64)) (*.f64 y #s(literal 4 binary64)) (if (<=.f64 y #s(literal 571152654438831/649037107316853453566312041152512 binary64)) (*.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal 4 binary64))))
(*.f64 x #s(literal -3 binary64))
Outputs
(fma.f64 (fma.f64 #s(literal 6 binary64) z #s(literal -4 binary64)) (-.f64 x y) x)
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x)) (*.f64 (*.f64 #s(literal 6 binary64) (-.f64 x y)) z)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x)) (*.f64 z (*.f64 #s(literal 6 binary64) (-.f64 x y)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 y #s(literal 4 binary64) (fma.f64 #s(literal -4 binary64) x x)) (*.f64 #s(literal 6 binary64) (*.f64 z (-.f64 x y)))))
(if (<=.f64 y #s(literal -35681192317649/713623846352979940529142984724747568191373312 binary64)) (*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64))) (if (<=.f64 y #s(literal 7352373481323731/1267650600228229401496703205376 binary64)) (*.f64 x (fma.f64 #s(literal 6 binary64) z #s(literal -3 binary64))) (*.f64 y (fma.f64 z #s(literal -6 binary64) #s(literal 4 binary64)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 (*.f64 x #s(literal 6 binary64)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 y #s(literal -6 binary64)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 z (*.f64 #s(literal 6 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 z (*.f64 y #s(literal -6 binary64))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 (*.f64 x #s(literal 6 binary64)) z) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 y (*.f64 z #s(literal -6 binary64))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 z (*.f64 #s(literal 6 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 y (*.f64 z #s(literal -6 binary64))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -10000000000000000065284077450682265568456642148886267118448844545520511777838181142510337509988867035816342470187175785193750117648543530356184548650438281396224 binary64)) (*.f64 x (*.f64 #s(literal 6 binary64) z)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 y (*.f64 z #s(literal -6 binary64))) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 y (*.f64 z #s(literal -6 binary64))))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 x (*.f64 #s(literal 6 binary64) z)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 200000000000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 x (*.f64 #s(literal 6 binary64) z))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 x z)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 200000000000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 #s(literal 6 binary64) (*.f64 x z))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 6 binary64) (*.f64 z x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 2 binary64) #s(literal 3 binary64)) z) #s(literal 200000000000000000000 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 y x) x) (*.f64 #s(literal 6 binary64) (*.f64 z x))))
(fma.f64 #s(literal 4 binary64) (-.f64 y x) x)
(if (<=.f64 y #s(literal -35681192317649/713623846352979940529142984724747568191373312 binary64)) (*.f64 y #s(literal 4 binary64)) (if (<=.f64 y #s(literal 571152654438831/649037107316853453566312041152512 binary64)) (*.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal 4 binary64))))
(*.f64 x #s(literal -3 binary64))

soundness2.5s (17.4%)

Memory
8.8MiB live, 1 167.6MiB allocated
Rules
23 694×lower-fma.f64
23 694×lower-fma.f32
17 496×lower-fma.f64
17 496×lower-fma.f32
13 984×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02543362
18163137
226102921
370812887
083732721
02278
03878
114678
2107175
0925372
02385
04085
114185
2108085
0831582
02079
03775
115575
2127375
0844975
01091188
13411017
21071867
33586846
08716758
02493001
17922737
224412413
363232413
084542191
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 718 to 342 computations (52.4% saved)

preprocess69.0ms (0.5%)

Memory
19.3MiB live, 137.7MiB allocated
Compiler

Compiled 706 to 166 computations (76.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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