Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 13 to 10 computations (23.1% saved)

sample1.0s (17.3%)

Memory
13.7MiB live, 1 201.1MiB allocated
Samples
505.0ms7 656×0valid
90.0ms373×1valid
29.0ms169×2valid
18.0ms58×3valid
Precisions
Click to see histograms. Total time spent on operations: 426.0ms
ival-add: 392.0ms (92% of total)
adjust: 25.0ms (5.9% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain118.0ms (2%)

Memory
0.4MiB live, 198.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (+.f64 x y) y) x)
00-0-y
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
00-0-(+.f64 (+.f64 x y) y)
00-0-(+.f64 x y)
00-0-z
00-0-(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms460×0valid
4.0ms30×1valid
3.0ms18×2valid
1.0ms3valid
Compiler

Compiled 91 to 28 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 13.0ms (83.7% of total)
adjust: 2.0ms (12.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess346.0ms (5.9%)

Memory
2.4MiB live, 39.1MiB allocated
Algorithm
egg-herbie
Rules
2 046×unsub-neg
1 306×distribute-neg-in
1 088×associate-+r+
876×sub-neg
792×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039104
113983
254781
3235681
4427981
5557481
6595481
7606981
8608081
9608081
10669381
11691681
12693481
13693481
14694481
15695481
16695481
17695881
18771881
19771881
0811
01311
1269
2719
31639
42669
52739
02737
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (+.f64 x y) y)
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
cost-diff64
(+.f64 (+.f64 (+.f64 x y) y) x)
cost-diff128
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
Rules
266×lower-+.f32
256×lower-+.f64
242×associate-+r+
132×associate-+l+
104×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
01338
12632
27132
316332
426632
527332
027328
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 x y) y)
(+.f64 x y)
x
y
z
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(fma.f64 #s(literal 3 binary64) x (fma.f64 #s(literal 2 binary64) y z))
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+.f64 (+.f64 x y) y)
(fma.f64 #s(literal 2 binary64) y x)
(+.f64 x y)
(+.f64 y x)
x
y
z

localize52.0ms (0.9%)

Memory
9.5MiB live, 87.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0.015625
(+.f64 (+.f64 x y) y)
accuracy0.01953125
(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy0.07421875
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Samples
16.0ms230×0valid
4.0ms2valid
2.0ms15×1valid
0.0ms3valid
Compiler

Compiled 40 to 10 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 13.0ms (92.3% of total)
adjust: 1.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-21.4MiB live, 14.4MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())
#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())
Outputs
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (+ z (* 2 x)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (* 2 x))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt x (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 (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) (patch (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) (patch (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (/ x y))) (taylor inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation:binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
11.0ms
y
@inf
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y))
1.0ms
y
@-inf
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y))
1.0ms
x
@inf
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y))
1.0ms
z
@0
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y))
0.0ms
x
@-inf
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y) (+ x y))

simplify143.0ms (2.4%)

Memory
-4.8MiB live, 202.2MiB allocated
Algorithm
egg-herbie
Rules
10 710×lower-fma.f64
10 710×lower-fma.f32
2 766×lower-*.f64
2 766×lower-*.f32
1 564×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113764
1343762
2900762
32786762
46677762
08202658
Stop Event
iter limit
node limit
Counts
144 → 131
Calls
Call 1
Inputs
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 x)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
x
(+ x y)
(+ x y)
(+ x y)
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
y
(+ x y)
(+ x y)
(+ x y)
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* 2 x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ z (* 2 x))
(fma.f64 x #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
x
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (/ x y)))
(fma.f64 y #s(literal 2 binary64) x)
(* y (+ 2 (/ x y)))
(fma.f64 y #s(literal 2 binary64) x)
(* y (+ 2 (/ x y)))
(fma.f64 y #s(literal 2 binary64) x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 y #s(literal 2 binary64) x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
(+ x (* 2 y))
(fma.f64 y #s(literal 2 binary64) x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 y #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 y #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 y #s(literal 2 binary64) x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 y #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 y #s(literal 2 binary64) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite552.0ms (9.4%)

Memory
45.0MiB live, 340.1MiB allocated
Rules
5 184×lower-fma.f64
5 184×lower-fma.f32
4 742×lower-*.f64
4 742×lower-*.f32
4 214×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0835
01335
18129
287829
0813026
Stop Event
iter limit
node limit
iter limit
Counts
5 → 593
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
(+.f64 (+.f64 (+.f64 x y) y) x)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 (+.f64 x y) y)
(+.f64 x y)
Outputs
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) z))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) (*.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) (*.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 y x) z)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 z (+.f64 y x)) (+.f64 z (+.f64 y x)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y x) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (fma.f64 #s(literal 2 binary64) y x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 y x) z) (+.f64 (+.f64 y x) z)) (*.f64 (+.f64 y x) (+.f64 (+.f64 y x) z)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (*.f64 (-.f64 (+.f64 y x) y) (*.f64 y y))) (pow.f64 (-.f64 (+.f64 y x) y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 y (+.f64 y x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (+.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (+.f64 y x) y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 y x) y))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))) (-.f64 (hypot.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y)))
(fma.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)) y)
(fma.f64 #s(literal 1 binary64) (+.f64 y x) y)
(fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y y)) x)
(fma.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) x)
(fma.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) y)
(fma.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)))) y)
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 y x) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y))))
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) y)
(fma.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) #s(literal -1 binary64)) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 y x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y (+.f64 y x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y))))
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 y x))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 y y (neg.f64 (*.f64 x x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (fma.f64 y y (neg.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 (hypot.f64 x y) (*.f64 y x)))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 y x)
(+.f64 x y)

eval447.0ms (7.6%)

Memory
-109.4MiB live, 311.3MiB allocated
Compiler

Compiled 22 756 to 2 494 computations (89% saved)

prune24.0ms (0.4%)

Memory
-11.5MiB live, 71.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New7168724
Fresh000
Picked101
Done000
Total7178725
Accuracy
100.0%
Counts
725 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
67.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
39.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
62.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
71.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
67.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
34.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
38.7%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 92 to 106 computations (-15.2% saved)

simplify11.0ms (0.2%)

Memory
-11.9MiB live, 26.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
cost-diff0
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
cost-diff0
(fma.f64 #s(literal 3 binary64) x z)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(+.f64 z x)
cost-diff0
(+.f64 y x)
cost-diff0
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
Rules
270×lower-+.f32
264×lower-+.f64
242×associate-+r+
120×associate-+l+
104×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022126
031126
158113
2110113
3216113
4278113
5282113
0282107
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
#s(literal 2 binary64)
(+.f64 y x)
y
x
(+.f64 z x)
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
#s(literal 3 binary64)
x
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
#s(literal 3 binary64)
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
Outputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
#s(literal 2 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
(+.f64 z x)
z
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
#s(literal 3 binary64)
x
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
#s(literal 3 binary64)
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)

localize65.0ms (1.1%)

Memory
45.0MiB live, 153.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy18.566540842431728
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.07421875
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
accuracy42.25998013371999
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
accuracy0
(fma.f64 #s(literal 3 binary64) x z)
accuracy20.93018458649482
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy39.22713268265603
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy0
(+.f64 z x)
accuracy0
(+.f64 y x)
accuracy0.07421875
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
Samples
38.0ms216×0valid
6.0ms13×3valid
5.0ms14×2valid
3.0ms13×1valid
Compiler

Compiled 107 to 20 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 13.0ms (45.1% of total)
ival-mult: 11.0ms (38.1% of total)
adjust: 4.0ms (13.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.7%)

Memory
-9.9MiB live, 28.9MiB allocated
Counts
12 → 336
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) #<representation:binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation:binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())
Outputs
#s(alt (+ x (* 2 (+ x y))) (taylor 0 z) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x)) #<representation:binary64>) () ())) ())
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#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (patch (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
Calls

9 calls:

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

simplify194.0ms (3.3%)

Memory
-3.8MiB live, 295.1MiB allocated
Algorithm
egg-herbie
Rules
10 922×lower-fma.f64
10 922×lower-fma.f32
3 364×lower-*.f64
3 364×lower-*.f32
1 724×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442026
14332026
210942026
333962026
472442026
080711676
Stop Event
iter limit
node limit
Counts
336 → 309
Calls
Call 1
Inputs
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
x
(+ x z)
(+ x z)
(+ x z)
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 3 x)
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
x
(+ x y)
(+ x y)
(+ x y)
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 3 x)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
y
(+ x y)
(+ x y)
(+ x y)
z
(+ x z)
(+ x z)
(+ x z)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
z
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
Outputs
(+ x (* 2 (+ x y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
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(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ z x)))
(fma.f64 #s(literal 3 binary64) x z)
(* x (+ 3 (/ z x)))
(fma.f64 #s(literal 3 binary64) x z)
(* x (+ 3 (/ z x)))
(fma.f64 #s(literal 3 binary64) x z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))

rewrite203.0ms (3.4%)

Memory
-10.5MiB live, 339.2MiB allocated
Rules
5 276×lower-fma.f32
5 270×lower-fma.f64
3 638×lower-/.f64
3 638×lower-/.f32
3 296×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022107
031107
117194
2188694
0810792
Stop Event
iter limit
node limit
iter limit
Counts
12 → 236
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+.f64 y x)
(+.f64 z x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(fma.f64 #s(literal 3 binary64) x z)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x)) (*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x))) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x) (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x)) (*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x))) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) (-.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (fma.f64 (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x)) (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) (-.f64 (*.f64 z z) (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) z))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (+.f64 z x)) (fma.f64 x #s(literal 2 binary64) (+.f64 z x))) (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (+.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 z x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 z x) x) (+.f64 (+.f64 z x) x)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) (+.f64 (+.f64 z x) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 x (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 x (+.f64 z x)) (+.f64 x (+.f64 z x))) (*.f64 (fma.f64 y #s(literal 2 binary64) x) (+.f64 x (+.f64 z x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 x y) (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 x y) (+.f64 z x)) (+.f64 (+.f64 x y) (+.f64 z x))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) (+.f64 z x))))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) (fma.f64 (+.f64 x y) #s(literal 2 binary64) x)) (*.f64 z (fma.f64 (+.f64 x y) #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 z (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) z) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x)) (*.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x) (*.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 z x) (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (*.f64 (+.f64 z x) (-.f64 z x))))) (neg.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (-.f64 z x))))
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(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (pow.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(fma.f64 x #s(literal 3 binary64) (*.f64 y #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 2 binary64)))

eval64.0ms (1.1%)

Memory
21.0MiB live, 181.8MiB allocated
Compiler

Compiled 8 366 to 847 computations (89.9% saved)

prune48.0ms (0.8%)

Memory
-54.2MiB live, 90.5MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5632565
Fresh033
Picked235
Done000
Total5658573
Accuracy
100.0%
Counts
573 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
67.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
39.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
62.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
71.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
67.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
34.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
38.7%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 75 to 83 computations (-10.7% saved)

simplify9.0ms (0.1%)

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

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal 2 binary64) z)
cost-diff0
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z))
cost-diff0
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
cost-diff-128
(+.f64 y y)
cost-diff0
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
cost-diff0
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
cost-diff0
(fma.f64 y #s(literal 2 binary64) z)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
cost-diff-128
(+.f64 y y)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
cost-diff128
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
Rules
274×lower-+.f32
268×lower-+.f64
208×associate-+r+
116×associate-+l+
104×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021144
028144
151130
2100130
3200127
4262127
5266127
0266120
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
#s(literal 3 binary64)
x
(+.f64 y y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(fma.f64 y #s(literal 2 binary64) z)
y
#s(literal 2 binary64)
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
(+.f64 y y)
y
x
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z))
(fma.f64 y #s(literal 2 binary64) z)
y
#s(literal 2 binary64)
z
x
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
#s(literal 3 binary64)
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 y #s(literal 2 binary64) z)
(fma.f64 #s(literal 2 binary64) y z)
y
#s(literal 2 binary64)
z
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
x
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z))
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))
(fma.f64 y #s(literal 2 binary64) z)
(fma.f64 #s(literal 2 binary64) y z)
y
#s(literal 2 binary64)
z
x

localize49.0ms (0.8%)

Memory
-7.2MiB live, 108.3MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y #s(literal 2 binary64) z)
accuracy0.07421875
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
accuracy24.153434734986003
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z))
accuracy0
(+.f64 y y)
accuracy0.07421875
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
accuracy42.25998013371999
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
accuracy0
(fma.f64 y #s(literal 2 binary64) z)
accuracy24.16876062553051
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy42.268146093012646
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
accuracy0
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
accuracy0
(+.f64 y y)
accuracy18.566540842431728
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
Samples
21.0ms222×0valid
8.0ms12×2valid
3.0ms3valid
2.0ms13×1valid
Compiler

Compiled 115 to 17 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 10.0ms (47.7% of total)
ival-mult: 7.0ms (33.4% of total)
adjust: 3.0ms (14.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
8.3MiB live, 46.0MiB allocated
Counts
11 → 324
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) (patch (fma.f64 #s(literal 3 binary64) x (+.f64 y y)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())
#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation:binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) #<representation:binary64>) () ())
#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())
Outputs
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) (patch (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #<representation:binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) (patch #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) #<representation:binary64>) () ())) ())
Calls

9 calls:

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

simplify136.0ms (2.3%)

Memory
-8.6MiB live, 228.3MiB allocated
Algorithm
egg-herbie
Rules
11 036×lower-fma.f64
11 036×lower-fma.f32
3 084×lower-*.f64
3 084×lower-*.f32
1 228×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032134
13112124
28392124
322732124
451492124
081101745
Stop Event
iter limit
node limit
Counts
324 → 307
Calls
Call 1
Inputs
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(* 3 x)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* 2 y)
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
Outputs
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ (* 2 x) (* 2 y))
(*.f64 (+.f64 y x) #s(literal 2 binary64))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
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(fma.f64 y #s(literal 2 binary64) z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 (+.f64 y x) #s(literal 2 binary64) z)

rewrite232.0ms (3.9%)

Memory
25.8MiB live, 424.9MiB allocated
Rules
9 208×lower-fma.f32
9 204×lower-fma.f64
5 712×lower-*.f32
5 710×lower-*.f64
4 614×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021123
028123
1158109
21543109
09628102
Stop Event
iter limit
node limit
iter limit
Counts
11 → 393
Calls
Call 1
Inputs
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(+.f64 y y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(fma.f64 y #s(literal 2 binary64) z)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 3 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x #s(literal 3 binary64) y) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 3 binary64) y) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))) (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (fma.f64 x #s(literal 3 binary64) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 3 binary64) y) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) y))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64) (*.f64 x #s(literal 3 binary64)))
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(+.f64 y (+.f64 y z))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)) (*.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 x x))) (*.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x))
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x))))
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)))) (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)) x)
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) #s(literal -1 binary64)))
(*.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (*.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 x x))) (*.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64))) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x))))
(/.f64 (hypot.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x) (*.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))) (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)) (/.f64 (*.f64 x x) (-.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)) x)
(+.f64 x #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z)))
#s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 #s(literal 2 binary64) y z))

eval100.0ms (1.7%)

Memory
-3.5MiB live, 227.2MiB allocated
Compiler

Compiled 10 598 to 1 407 computations (86.7% saved)

prune27.0ms (0.5%)

Memory
-9.9MiB live, 72.0MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New9001901
Fresh000
Picked145
Done033
Total9018909
Accuracy
100.0%
Counts
909 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
67.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
39.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
62.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
71.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
67.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
34.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
38.7%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 46 to 50 computations (-8.7% saved)

simplify7.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 y y)
cost-diff0
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Rules
266×lower-+.f32
264×lower-+.f64
246×associate-+r+
134×associate-+l+
104×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
01119
12517
26817
316517
426617
527117
027115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(+.f64 y y)
y
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize21.0ms (0.4%)

Memory
-0.1MiB live, 39.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y y)
accuracy42.268146093012646
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Samples
13.0ms230×0valid
2.0ms15×1valid
2.0ms2valid
0.0ms3valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 7.0ms (80.6% of total)
adjust: 1.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())
Outputs
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (* 2 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y))))) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation:binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (+ z (+ (* 2 y) (* 3 x))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y))
0.0ms
y
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y))
0.0ms
z
@inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y))
0.0ms
y
@0
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y))
0.0ms
x
@-inf
((+ (+ (+ (+ (+ x y) y) x) z) x) (+ y y))

simplify187.0ms (3.2%)

Memory
-21.7MiB live, 181.7MiB allocated
Algorithm
egg-herbie
Rules
8 372×lower-fma.f64
8 372×lower-fma.f32
2 418×lower-*.f64
2 418×lower-*.f32
1 882×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055312
1158310
2435310
31278310
43157310
57205310
08017253
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(+ x (+ z (* 2 x)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
Outputs
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ z (* 2 y))
(fma.f64 y #s(literal 2 binary64) z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))

rewrite285.0ms (4.8%)

Memory
-11.2MiB live, 147.3MiB allocated
Rules
4 764×lower-*.f64
4 764×lower-*.f32
4 734×lower-fma.f64
4 734×lower-fma.f32
4 246×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
01118
18616
293616
0812815
Stop Event
iter limit
node limit
iter limit
Counts
2 → 33
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(+.f64 y y)
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)) (hypot.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 0 binary64))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 (hypot.f64 y y) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(+.f64 y y)

eval7.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Compiler

Compiled 660 to 119 computations (82% saved)

prune6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done077
Total79887
Accuracy
100.0%
Counts
87 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
67.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
39.7%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
62.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
71.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
67.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
34.0%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
38.7%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 120 to 83 computations (30.8% saved)

regimes83.0ms (1.4%)

Memory
-13.9MiB live, 35.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Outputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
Calls

4 calls:

69.0ms
y
4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes16.0ms (0.3%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
Calls

4 calls:

4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
89.6%3x
89.6%3y
91.0%4z
76.3%4(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes46.0ms (0.8%)

Memory
-20.0MiB live, 19.4MiB allocated
Counts
8 → 4
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
Calls

3 calls:

38.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
90.8%4z
89.2%3y
88.8%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes10.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
Calls

3 calls:

3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
86.9%3x
87.7%3y
73.2%4z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
70.4%3x
83.6%3y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes47.0ms (0.8%)

Memory
-21.9MiB live, 16.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Calls

4 calls:

40.0ms
z
2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
58.2%3x
40.9%2z
40.4%2(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
59.0%3y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Calls

4 calls:

1.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
34.0%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
34.0%1z
34.0%1x
34.0%1y
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch29.0ms (0.5%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
7.911109610343199e+37
3.508150427991167e+59
12.0ms
-1.6545344500070192e+112
-2.5130534697206306e+110
Samples
11.0ms251×0valid
2.0ms14×2valid
2.0ms20×1valid
1.0ms3valid
Compiler

Compiled 252 to 295 computations (-17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 7.0ms (77.9% of total)
adjust: 2.0ms (22.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch56.0ms (1%)

Memory
-0.2MiB live, 38.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
3.2034738234909613e+67
6.617615649342416e+67
13.0ms
-1.4296514603316693e-58
-3.545038894265134e-64
33.0ms
-5.19520815792421e+129
-2.998610309513139e+129
Samples
11.0ms249×0valid
3.0ms33×1valid
1.0ms2valid
0.0ms3valid
Compiler

Compiled 222 to 280 computations (-26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 7.0ms (81.5% of total)
adjust: 1.0ms (11.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Memory
-6.7MiB live, 34.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0852889334602719e+74
5.453459946123564e+79
17.0ms
-3.100560229305852e-10
-3.0584003995874834e-15
Samples
15.0ms261×0valid
2.0ms12×2valid
1.0ms15×1valid
Compiler

Compiled 194 to 266 computations (-37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 11.0ms (90.9% of total)
adjust: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.8%)

Memory
-15.8MiB live, 22.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
2.7073439307033404e+148
4.109476529870498e+154
5.0ms
-2.8789483107607183e+91
-1.5657193050207664e+91
Samples
35.0ms198×0valid
1.0ms10×1valid
Compiler

Compiled 131 to 183 computations (-39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 5.0ms (99.1% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0852889334602719e+74
5.453459946123564e+79
12.0ms
-3.365461795878053e-16
-1.1024301662990967e-24
Samples
6.0ms135×0valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 158 to 248 computations (-57% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 3.0ms (77.7% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify57.0ms (1%)

Memory
-7.5MiB live, 31.4MiB allocated
Algorithm
egg-herbie
Rules
+-commutative-binary64-+.f64
*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058322
162322
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(if (<=.f64 x #s(literal -255000000000000011016408331553048243091962986574392643698216421786816755022250010145896369504450914233207488512 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 9500000000000000194300513075712407919132672 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))))
(if (<=.f64 z #s(literal -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 z #s(literal -335700942307893/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 55999999999999995441473019995012338799166939219716071653612206424064 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)))))
(if (<=.f64 y #s(literal -7891867750444299/77371252455336267181195264 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 1400000000000000053028683940195735220482647458372027486821395384623412251983872 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))))
(if (<=.f64 y #s(literal -21500000000000000353651438767731523457886381443027155937173213142523691279840223845672812544 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
(if (<=.f64 y #s(literal -6693195169205051/20282409603651670423947251286016 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 1350000000000000021750792418738636781269531789191767487600347948858649968902144 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Outputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 z x))
(if (<=.f64 x #s(literal -255000000000000011016408331553048243091962986574392643698216421786816755022250010145896369504450914233207488512 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 9500000000000000194300513075712407919132672 binary64)) (+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (fma.f64 y #s(literal 2 binary64) z)) x) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))))
(if (<=.f64 z #s(literal -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 z #s(literal -335700942307893/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 z #s(literal 55999999999999995441473019995012338799166939219716071653612206424064 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)))))
(if (<=.f64 y #s(literal -7891867750444299/77371252455336267181195264 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z)) (if (<=.f64 y #s(literal 1400000000000000053028683940195735220482647458372027486821395384623412251983872 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))))
(if (<=.f64 y #s(literal -21500000000000000353651438767731523457886381443027155937173213142523691279840223845672812544 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
(if (<=.f64 y #s(literal -6693195169205051/20282409603651670423947251286016 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y)) (if (<=.f64 y #s(literal 1350000000000000021750792418738636781269531789191767487600347948858649968902144 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))

soundness946.0ms (16%)

Memory
8.7MiB live, 523.9MiB allocated
Rules
10 710×lower-fma.f64
10 710×lower-fma.f32
9 208×lower-fma.f32
9 204×lower-fma.f64
5 712×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021123
028123
1158109
21543109
09628102
022107
031107
117194
2188694
0810792
0113764
1343762
2900762
32786762
46677762
08202658
0835
01335
18129
287829
0813026
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 236 to 169 computations (28.4% saved)

preprocess64.0ms (1.1%)

Memory
-9.9MiB live, 109.2MiB allocated
Compiler

Compiled 296 to 122 computations (58.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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