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

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze2.0ms (0%)

Memory
1.3MiB live, 1.4MiB allocated
Algorithm
1×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)

sample978.0ms (16.4%)

Memory
-10.6MiB live, 1 113.5MiB allocated
Samples
618.0ms7 652×0valid
40.0ms392×1valid
27.0ms164×2valid
25.0ms48×3valid
Precisions
Click to see histograms. Total time spent on operations: 498.0ms
ival-add: 465.0ms (93.4% of total)
adjust: 24.0ms (4.8% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain105.0ms (1.8%)

Memory
-22.6MiB live, 171.9MiB 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
28.0ms472×0valid
3.0ms18×2valid
2.0ms18×1valid
1.0ms4×3valid
Compiler

Compiled 91 to 28 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 16.0ms (85.7% of total)
adjust: 2.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess335.0ms (5.6%)

Memory
15.1MiB live, 52.8MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify6.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize24.0ms (0.4%)

Memory
4.0MiB live, 41.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)
accuracy0.01953125
(+.f64 (+.f64 (+.f64 x y) y) x)
accuracy0.01953125
(+.f64 (+.f64 x y) y)
accuracy0.0703125
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Samples
13.0ms236×0valid
2.0ms9×2valid
1.0ms9×1valid
0.0ms2×3valid
Compiler

Compiled 40 to 10 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 7.0ms (83.8% of total)
adjust: 1.0ms (12% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory
-21.0MiB live, 56.5MiB allocated
Counts
4 → 120
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>) () ())
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 (* 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 (* 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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2))) (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 (* -1 (* y (- (* -2 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -2 (/ x y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (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 (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2))) (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 (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 x) (#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 x) (#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 x) (#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 x) (#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 0 x) (#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 x) (#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 x) (#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 x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 y) (* 3 x))) (taylor 0 x) (#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 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2))) (taylor -inf x) (#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 -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 2))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 x y) y) x) (patch (+.f64 (+.f64 (+.f64 x y) y) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3))) (taylor -inf x) (#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 -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) y) (patch (+.f64 (+.f64 x y) y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
27.0ms
x
@0
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y))
6.0ms
y
@-inf
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y))
1.0ms
x
@-inf
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y))
1.0ms
z
@0
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y))
0.0ms
x
@inf
((+ (+ (+ (+ x y) y) x) z) (+ (+ (+ x y) y) x) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (+ x y) y))

simplify118.0ms (2%)

Memory
-12.1MiB live, 150.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 174×lower-fma.f64
10 174×lower-fma.f32
2 812×lower-*.f64
2 812×lower-*.f32
1 504×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101704
1306702
2815702
32381702
45563702
08365598
Stop Event
1×iter limit
1×node limit
Counts
120 → 113
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))
(* 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)))
(* 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)))
(+ 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))
(* 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))))
(* 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)))
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 #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)))))
(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 #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 (/ (+ (* 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 #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))
(+ 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 #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
(+ 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)
(* 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 #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))
(* 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)
(* 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 #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))
(* -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)
(+ 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 #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))
(* 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)
(* 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 #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))
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)
(* 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 #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 (- (* -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)

rewrite249.0ms (4.2%)

Memory
32.4MiB live, 234.1MiB 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
0832
01332
18126
287826
0813023
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 562
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)
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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 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)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 y (+.f64 z x)) (+.f64 y (+.f64 z x))) (*.f64 (+.f64 y x) (+.f64 y (+.f64 z x))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 y x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (+.f64 (+.f64 y x) (+.f64 z x)) (+.f64 (+.f64 y x) (+.f64 z x))) (*.f64 y (+.f64 (+.f64 y x) (+.f64 z x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y x) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) y x) z) (+.f64 (fma.f64 #s(literal 2 binary64) y x) z)) (*.f64 x (+.f64 (fma.f64 #s(literal 2 binary64) y x) z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 z x)) (fma.f64 #s(literal 2 binary64) y (+.f64 z x))) (*.f64 x (fma.f64 #s(literal 2 binary64) y (+.f64 z x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x)))))
(/.f64 (neg.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)))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 z x))))
(/.f64 (neg.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)))) (neg.f64 (+.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 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z))))
(/.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 y x))))))))
(/.f64 (-.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 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) (*.f64 z z))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (-.f64 y (+.f64 y x)) (*.f64 (-.f64 z x) (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (*.f64 (-.f64 z x) (-.f64 y (+.f64 y x))))
(/.f64 (fma.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (-.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 z x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) (*.f64 (-.f64 z x) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (fma.f64 (fma.f64 z z (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (-.f64 z x) #s(literal 1 binary64))) (*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
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(+.f64 (+.f64 z x) (*.f64 #s(literal 2 binary64) (+.f64 y x)))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) z) x)
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 y x) x))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 z x))
(+.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 (+.f64 z x) x))
(+.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (+.f64 z x)))
(+.f64 (+.f64 y x) (+.f64 (+.f64 y x) (+.f64 z x)))
(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 y x) z))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 y x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(*.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)))) (/.f64 #s(literal 1 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 y x) y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (+.f64 y x) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y)))))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) y)) (fma.f64 (/.f64 (*.f64 y y) (-.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)) (/.f64 (*.f64 y y) (-.f64 (+.f64 y x) y))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (+.f64 y x) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.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))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 y x) y))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x 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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) y)
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x 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))

eval104.0ms (1.7%)

Memory
-28.8MiB live, 128.8MiB allocated
Compiler

Compiled 22 097 to 2 304 computations (89.6% saved)

prune124.0ms (2.1%)

Memory
12.8MiB live, 171.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6678675
Fresh000
Picked101
Done000
Total6688676
Accuracy
100.0%
Counts
676 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
▶99.9%
(+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x)
▶42.6%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
69.5%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
67.6%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
▶63.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
37.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
▶31.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 100 to 106 computations (-6% saved)

simplify9.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 z (+.f64 y x))
cost-diff0
(+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x)
cost-diff192
(+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x))
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
258×lower-+.f64
214×associate-+r+
124×associate-+l+
104×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023126
034123
171111
2145111
3233111
4262111
5264111
0264104
Stop Event
1×iter limit
1×saturated
1×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
(+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x)
(+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
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
(+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x)
(fma.f64 #s(literal 3 binary64) x (fma.f64 y #s(literal 2 binary64) z))
(+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x))
(fma.f64 (+.f64 x y) #s(literal 2 binary64) z)
(+.f64 z (+.f64 y x))
(+.f64 (+.f64 z x) y)
z
(+.f64 y x)
(+.f64 x y)
y
x

localize67.0ms (1.1%)

Memory
-11.0MiB live, 110.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z (+.f64 y x))
accuracy0
(+.f64 y x)
accuracy0.015625
(+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x))
accuracy0.0703125
(+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x)
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.0703125
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64))) x)
accuracy39.731479502190595
#s(approx (+ (+ (+ (+ x y) y) x) z) (*.f64 y #s(literal 2 binary64)))
accuracy0
(fma.f64 #s(literal 3 binary64) x z)
accuracy23.522346757852176
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
accuracy0
(*.f64 #s(literal 3 binary64) x)
accuracy43.94571892378031
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
accuracy0
(+.f64 z x)
accuracy0
(+.f64 y x)
accuracy0.0703125
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
Samples
44.0ms232×0valid
5.0ms11×2valid
3.0ms10×1valid
2.0ms3×3valid
Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-add: 30.0ms (76.1% of total)
ival-mult: 7.0ms (17.8% of total)
adjust: 3.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
9.9MiB live, 45.4MiB allocated
Counts
13 → 384
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 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) (patch (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) (patch (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) #<representation binary64>) () ())
#s(alt (+.f64 z (+.f64 y x)) (patch (+.f64 z (+.f64 y x)) #<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>) () ())) ())
#s(alt (+ x (+ z (* 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>) () ())) ())
#s(alt (+ x (+ z (* 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>) () ())) ())
#s(alt (+ x (+ z (* 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>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ 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 z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x 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 #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 (+ 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 z)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x 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 #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 (* 3 x) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 3 x)) (taylor 0 z) (#s(alt (fma.f64 #s(literal 3 binary64) x z) (patch (fma.f64 #s(literal 3 binary64) x z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ (* 2 x) (* 2 y)) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) (patch (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) (patch (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) (patch (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) (patch (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) (patch (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) (patch (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) (patch (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) (patch (+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y x)) (patch (+.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y x)) (patch (+.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y x)) (patch (+.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 z (+.f64 y x)) (patch (+.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf 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>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) (taylor inf 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>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) (taylor inf 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>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z)))) (taylor inf 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>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ x z))) (taylor inf z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#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 z (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#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>) () ())) ())
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#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) x) (patch (*.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#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>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 z (+.f64 y x)) (patch (+.f64 z (+.f64 y x)) #<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) (+ (+ z (+ y x)) (+ y x)) (+ (+ (+ z (+ y x)) (+ y x)) x) (+ z (+ y x)))
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) (+ (+ z (+ y x)) (+ y x)) (+ (+ (+ z (+ y x)) (+ y x)) x) (+ z (+ y x)))
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) (+ (+ z (+ y x)) (+ y x)) (+ (+ (+ z (+ y x)) (+ y x)) x) (+ z (+ y x)))
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) (+ (+ z (+ y x)) (+ y x)) (+ (+ (+ z (+ y x)) (+ y x)) x) (+ z (+ y x)))
1.0ms
x
@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) (+ (+ z (+ y x)) (+ y x)) (+ (+ (+ z (+ y x)) (+ y x)) x) (+ z (+ y x)))

simplify144.0ms (2.4%)

Memory
1.8MiB live, 195.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 266×lower-fma.f64
7 266×lower-fma.f32
2 948×lower-*.f64
2 948×lower-*.f32
2 244×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542250
14662250
212022250
337472250
475152250
082281889
Stop Event
1×iter limit
1×node limit
Counts
384 → 349
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)))
(+ (* 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))))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
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)))))
(* 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 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y 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 (/ (+ (* 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 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x 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)
(+ 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))))
(+ x z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(* 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)) (/ 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)))))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z 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 (/ (+ 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)))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+ 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 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)))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(* 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))))
(* 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))))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ 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)))
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)))
(* 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)))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
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 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x 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 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 (+ (* 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))
(* 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 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))
(+ (* 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)
(+ (* 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))
(+ x y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z 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 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x 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
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x 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
(* 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)))))
(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
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) x z))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z 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))
(* -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
(* -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
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x 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
(* -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 (/ (+ (* 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
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)
(+ x (+ z (* 2 x)))
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(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))
(* 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 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))
(* 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)
(* 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 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 (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)

rewrite232.0ms (3.9%)

Memory
-5.3MiB live, 278.1MiB allocated
Rules
4 826×lower-fma.f32
4 822×lower-fma.f64
4 322×lower-/.f64
4 322×lower-/.f32
3 608×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023108
034105
121193
2232793
0915690
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 525
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))
(+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x))
(+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) x)
(+.f64 z (+.f64 y x))
Outputs
(*.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 (-.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)) x) z) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) #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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) x) z) (-.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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) (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 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.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 z x) y)) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 x (+.f64 (+.f64 z x) y)) (+.f64 x (+.f64 (+.f64 z x) y)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x (+.f64 (+.f64 z x) y)) (+.f64 x y)))))
(/.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 (+.f64 (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 x y) x) (+.f64 (+.f64 z x) y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 z (fma.f64 y #s(literal 2 binary64) x)) (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 (+.f64 x (+.f64 (+.f64 x y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 x (+.f64 (+.f64 x y) x)) (+.f64 x (+.f64 (+.f64 x y) x))) (*.f64 (+.f64 z y) (+.f64 x (+.f64 (+.f64 x y) x))))))
(/.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))) (+.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (-.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 z #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 x y) (+.f64 (+.f64 x y) x)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (+.f64 (+.f64 x y) (+.f64 (+.f64 x y) x)) (+.f64 (+.f64 x y) (+.f64 (+.f64 x y) x))) (*.f64 z (+.f64 (+.f64 x y) (+.f64 (+.f64 x y) 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 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z (+.f64 (+.f64 x y) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z (+.f64 (+.f64 x y) x)) (+.f64 z (+.f64 (+.f64 x y) x))) (*.f64 (+.f64 x y) (+.f64 z (+.f64 (+.f64 x y) 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 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (+.f64 z x) y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (+.f64 (+.f64 z x) y) x) (+.f64 (+.f64 (+.f64 z x) y) x)) (*.f64 (+.f64 x y) (+.f64 (+.f64 (+.f64 z x) y) x)))))
(/.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 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (+.f64 z x) y) (+.f64 (+.f64 x y) x))))
(/.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 (+.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 z x) y) (+.f64 (+.f64 x y) x))))))
(/.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)) x) z))))
(/.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 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))))))
(/.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 (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))))))
(/.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))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 2 binary64) x) x) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 z x) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 (+.f64 z x) (-.f64 z x))))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 z x))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) x) z) (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.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)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.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))) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64))) (-.f64 (+.f64 (+.f64 z x) y) (+.f64 (+.f64 x y) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64))) (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) x) z) (-.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 z x) #s(literal 2 binary64)))))
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(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (+.f64 z (+.f64 (+.f64 x y) x)))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (+.f64 (+.f64 x y) (+.f64 z x)))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (+.f64 (+.f64 (+.f64 z x) y) x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 z x))
(fma.f64 (+.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) (+.f64 (+.f64 z x) y)) (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) x)
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 z x) x))
(fma.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 x (+.f64 z x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)) (+.f64 (+.f64 x y) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 z (+.f64 (+.f64 x y) x)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (+.f64 x y) (+.f64 z x)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (+.f64 (+.f64 z x) y) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 z (+.f64 (+.f64 x y) x)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (+.f64 x y) (+.f64 z x)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (+.f64 (+.f64 z x) y) x))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z (-.f64 z (*.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)) x)
(fma.f64 (+.f64 x y) #s(literal 2 binary64) (+.f64 z x))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (+.f64 z x)))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 z x))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 2 binary64) (+.f64 z x)))
(-.f64 (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 z x) y) #s(literal 2 binary64)) (-.f64 (+.f64 (+.f64 z x) y) (+.f64 (+.f64 x y) x))) (/.f64 (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64)) (-.f64 (+.f64 (+.f64 z x) y) (+.f64 (+.f64 x y) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z))) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) #s(literal 2 binary64)) (-.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z))))
(-.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)) x) z)) (/.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) x) z)))
(-.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 (+.f64 z x) (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) x) z)
(+.f64 (+.f64 x (+.f64 (+.f64 z x) y)) (+.f64 x y))
(+.f64 (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))) z)
(+.f64 (+.f64 (+.f64 x y) x) (+.f64 (+.f64 z x) y))
(+.f64 (+.f64 z (fma.f64 y #s(literal 2 binary64) x)) (+.f64 x x))
(+.f64 (+.f64 z y) (+.f64 x (+.f64 (+.f64 x y) x)))
(+.f64 (+.f64 (+.f64 z x) y) (+.f64 (+.f64 x y) x))
(+.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (+.f64 z x)))
(+.f64 (fma.f64 (+.f64 x y) #s(literal 2 binary64) z) x)
(+.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 z x))
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (+.f64 (+.f64 z x) x))
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (+.f64 x (+.f64 z x)))
(+.f64 (+.f64 z x) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 z (+.f64 (+.f64 x y) (+.f64 (+.f64 x y) x)))
(+.f64 z (fma.f64 (+.f64 x y) #s(literal 2 binary64) x))
(+.f64 z (+.f64 x (*.f64 (+.f64 x y) #s(literal 2 binary64))))
(+.f64 (+.f64 x y) (+.f64 z (+.f64 (+.f64 x y) x)))
(+.f64 (+.f64 x y) (+.f64 (+.f64 x y) (+.f64 z x)))
(+.f64 (+.f64 x y) (+.f64 (+.f64 (+.f64 z x) y) x))
(+.f64 x (fma.f64 (+.f64 x y) #s(literal 2 binary64) z))
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 z (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 z (+.f64 x y)) (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z)) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (+.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x (+.f64 z y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 z y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (+.f64 x y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 z (+.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z (+.f64 x y)) (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z)) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (+.f64 x y)) (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z)) (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 z (+.f64 x y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 z (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 x y) (-.f64 (+.f64 x y) z) (*.f64 z z)))
(fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z)
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) z)
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) y)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) z)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) z)
(-.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (+.f64 z y) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 z y) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (+.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 x y) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (+.f64 x y))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 z (+.f64 x y))))
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 z x) y)
(+.f64 z (+.f64 x y))
(+.f64 (+.f64 x y) z)
(+.f64 x (+.f64 z y))
(+.f64 y (+.f64 z x))

eval138.0ms (2.3%)

Memory
-31.1MiB live, 227.6MiB allocated
Compiler

Compiled 18 924 to 1 618 computations (91.5% saved)

prune98.0ms (1.6%)

Memory
29.4MiB live, 144.7MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New9722974
Fresh033
Picked235
Done000
Total9748982
Accuracy
100.0%
Counts
982 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
▶74.8%
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
▶42.6%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
▶69.5%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
▶67.6%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
✓63.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶37.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
✓31.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 81 to 87 computations (-7.4% saved)

simplify12.0ms (0.2%)

Memory
-29.7MiB live, 17.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 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-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-diff0
(+.f64 z y)
cost-diff0
#s(approx (+ z (+ y x)) (+.f64 z y))
cost-diff0
(+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x))
cost-diff0
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
Rules
318×lower-+.f32
306×lower-+.f64
242×associate-+r+
130×associate-+l+
112×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026153
036153
164143
2126143
3219140
4287140
5291140
0291134
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
(+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x))
#s(approx (+ z (+ y x)) (+.f64 z y))
(+.f64 z y)
z
y
(+.f64 y x)
x
#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
#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
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
(+.f64 (fma.f64 #s(literal 2 binary64) x y) #s(approx (+ z (+ y x)) (+.f64 y z)))
(+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x))
(+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z)))
#s(approx (+ z (+ y x)) (+.f64 z y))
#s(approx (+ z (+ y x)) (+.f64 y z))
(+.f64 z y)
(+.f64 y z)
z
y
(+.f64 y x)
(+.f64 x y)
x
#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
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
#s(literal 3 binary64)
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)

localize51.0ms (0.9%)

Memory
33.7MiB live, 72.2MiB allocated
Localize:

Found 14 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))
accuracy20.75470320900349
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
accuracy0
(+.f64 y y)
accuracy0.0703125
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
accuracy39.731479502190595
#s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y))
accuracy0
(fma.f64 y #s(literal 2 binary64) z)
accuracy19.536994560045198
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy39.73804604586483
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64)))
accuracy0
(+.f64 y x)
accuracy0.015625
(+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x))
accuracy0.0703125
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
accuracy19.503346473295476
#s(approx (+ z (+ y x)) (+.f64 z y))
Samples
27.0ms226×0valid
5.0ms13×2valid
3.0ms13×1valid
2.0ms4×3valid
Compiler

Compiled 121 to 22 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add: 15.0ms (64.7% of total)
adjust: 4.0ms (17.3% of total)
ival-mult: 4.0ms (17.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-18.1MiB live, 20.2MiB allocated
Counts
14 → 408
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())
#s(alt (+.f64 z y) (patch (+.f64 z 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 y y) (patch (+.f64 y y) #<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>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (* 2 y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* 2 y) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ x (+ z (+ (* 2 x) (* 2 y)))) (taylor 0 z) (#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 (+ (* 2 x) (* 2 y)) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ z (+ (* 2 x) (* 2 y))) (taylor 0 z) (#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 (+ 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 #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 (+ 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 #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 (+ 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 #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 (+ 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 #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 z (taylor inf z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf z) (#s(alt (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (patch (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z))))) (taylor inf z) (#s(alt (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) (patch (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (+ z (+ y x)) (+.f64 z y)) (patch #s(approx (+ z (+ y x)) (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt z (taylor inf 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 (* 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 #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt z (taylor inf 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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf 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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf 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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf 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 z (taylor inf z) (#s(alt (fma.f64 y #s(literal 2 binary64) z) (patch (fma.f64 y #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@0
((+ (+ (+ z (+ y x)) (+ y x)) x) (+ (+ z (+ y x)) (+ y x)) (+ z (+ y x)) (+ z 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) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2)) (+ y x))
1.0ms
y
@inf
((+ (+ (+ z (+ y x)) (+ y x)) x) (+ (+ z (+ y x)) (+ y x)) (+ z (+ y x)) (+ z 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) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2)) (+ y x))
1.0ms
y
@-inf
((+ (+ (+ z (+ y x)) (+ y x)) x) (+ (+ z (+ y x)) (+ y x)) (+ z (+ y x)) (+ z 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) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2)) (+ y x))
1.0ms
x
@-inf
((+ (+ (+ z (+ y x)) (+ y x)) x) (+ (+ z (+ y x)) (+ y x)) (+ z (+ y x)) (+ z 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) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2)) (+ y x))
1.0ms
y
@0
((+ (+ (+ z (+ y x)) (+ y x)) x) (+ (+ z (+ y x)) (+ y x)) (+ z (+ y x)) (+ z 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) (+ y y) (+ (+ (+ (+ (+ x y) y) x) z) x) (+ (* 3 x) (* y 2)) (+ y x))

simplify143.0ms (2.4%)

Memory
5.4MiB live, 157.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 676×lower-fma.f64
7 676×lower-fma.f32
2 988×lower-*.f64
2 988×lower-*.f32
2 086×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532404
14692394
212472394
338092394
474822394
081102015
Stop Event
1×iter limit
1×node limit
Counts
408 → 373
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))))
(+ (* 2 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ x y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
y
(+ y z)
(+ y z)
(+ y 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))))
(* 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))))
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 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ 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)) (/ 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
(* -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 y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ 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)))
(+ 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)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
z
(+ y z)
(+ y z)
(+ y z)
(+ 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)))
(* 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))
x
(+ x y)
(+ x y)
(+ 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)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ 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)
(* 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)
(* 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))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ 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)))
(* 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)))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z 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)
(* 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)
(* 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)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ 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)))
(+ y z)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(+ 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)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
y
(+ x y)
(+ x y)
(+ x y)
(* 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))))
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (+ (/ 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))))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ 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)))
(* 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)))
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y 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)
(* -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)))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
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))
(+ (* 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 y)
(+.f64 y x)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ 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))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
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(* -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))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
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 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)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
(+ 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 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 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))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y 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))
(* 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)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* 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))
(* 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)))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y 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))
(* 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)
x
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* 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))
(* 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)))
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)

rewrite387.0ms (6.5%)

Memory
-13.0MiB live, 267.4MiB allocated
Rules
9 318×lower-fma.f32
9 314×lower-fma.f64
4 002×lower-/.f64
4 002×lower-/.f32
3 280×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026136
036136
1205126
22151126
08485121
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 497
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
(+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x))
#s(approx (+ z (+ y x)) (+.f64 z y))
(+.f64 z 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 y y)
#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)))
(+.f64 y x)
Outputs
(*.f64 (-.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) (-.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z)))) (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) (-.f64 (+.f64 x y) x)) (-.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z)))) (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(approx (+ z (+ y x)) (+.f64 y z))) (+.f64 x #s(approx (+ z (+ y x)) (+.f64 y z))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(approx (+ z (+ y x)) (+.f64 y z))) (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 x y) x) #s(approx (+ z (+ y x)) (+.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) y) #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) y) (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) x) (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) x)) (*.f64 (+.f64 x y) (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) (+.f64 (+.f64 x y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) (+.f64 (+.f64 x y) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) (-.f64 (+.f64 x y) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z)))) (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) (-.f64 (+.f64 x y) x)) (-.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z)))) (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 x y) x) #s(literal 2 binary64))) (-.f64 #s(approx (+ z (+ y x)) (+.f64 y z)) (+.f64 (+.f64 x y) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z))) #s(literal 2 binary64))) (-.f64 x (+.f64 (+.f64 x y) #s(approx (+ z (+ y x)) (+.f64 y z)))))
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(+.f64 x y)
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eval351.0ms (5.9%)

Memory
28.1MiB live, 217.1MiB allocated
Compiler

Compiled 12 793 to 1 699 computations (86.7% saved)

prune259.0ms (4.3%)

Memory
3.7MiB live, 167.2MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New9763979
Fresh000
Picked325
Done033
Total9798987
Accuracy
100.0%
Counts
987 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
✓42.6%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓69.5%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
▶67.6%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
✓63.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
▶69.5%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
▶37.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓31.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 45 to 49 computations (-8.9% saved)

simplify8.0ms (0.1%)

Memory
9.7MiB live, 9.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01676
02176
14270
29070
317067
422967
523367
023362
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(+.f64 y y)
y
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
(+.f64 (+.f64 y z) y)
(+.f64 y z)
y
z
#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
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
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 2 binary64) y z))
(+.f64 (+.f64 y z) y)
(fma.f64 #s(literal 2 binary64) y z)
(+.f64 y z)
(+.f64 z y)
y
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 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

localize74.0ms (1.2%)

Memory
-8.3MiB live, 70.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 3 binary64) x (+.f64 y y))
accuracy0
(+.f64 y y)
accuracy20.75470320900349
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
accuracy0
(+.f64 y z)
accuracy0.01953125
(+.f64 (+.f64 y z) y)
accuracy19.536994560045198
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
accuracy0
(+.f64 y y)
accuracy39.73804604586483
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
Samples
20.0ms226×0valid
3.0ms13×2valid
2.0ms13×1valid
2.0ms4×3valid
Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 11.0ms (70.8% of total)
adjust: 2.0ms (12.9% of total)
ival-mult: 2.0ms (12.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-21.8MiB live, 16.7MiB allocated
Counts
7 → 192
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>) () ())
#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())
#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>) () ())
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 (+ x (+ (* 2 x) (* 2 y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (+ z (* 2 y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#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 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* 2 (/ y z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf 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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf 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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf 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 (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z))))) (taylor inf 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 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 z (taylor -inf z) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -2 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -2 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -2 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 (+.f64 y z) y) (patch (+.f64 (+.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf 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 (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf 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 (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf 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 (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1))) (taylor -inf 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))) (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>) () ())) ())
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#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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#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 (* x (+ 3 (* 2 (/ y x)))) (taylor inf x) (#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 (* x (+ 3 (* 2 (/ y x)))) (taylor inf x) (#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 (* x (+ 3 (* 2 (/ y x)))) (taylor inf x) (#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 (* 3 x) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (+ 3 (+ (* 2 (/ y x)) (/ z x)))) (taylor inf x) (#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 (* 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>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) 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 (+.f64 y z) y)) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#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 (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#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 (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#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 (* -1 (* x (- (* -2 (/ y x)) 3))) (taylor -inf x) (#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 (* 3 x) (taylor -inf x) (#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 (* -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 y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) 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) (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 (* -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 y))) (patch #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify139.0ms (2.3%)

Memory
3.5MiB live, 137.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 134×lower-fma.f64
10 134×lower-fma.f32
3 012×lower-*.f64
3 012×lower-*.f32
1 284×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941170
12801164
27401164
322391164
452451164
08287957
Stop Event
1×iter limit
1×node limit
Counts
192 → 177
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))))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
y
(+ y z)
(+ y z)
(+ y z)
(+ 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
(* 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 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ 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) (* 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 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ 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))))
(* 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))
z
(+ y z)
(+ y z)
(+ y z)
(* 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)
(* 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)))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z 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)
(* -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)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* 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)))
(+ 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)))
(* 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)))
(* 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))))
(* 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)
(* -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 (- (* -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)))
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))
(* 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)
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ 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
(* 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
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 y #s(literal 2 binary64) z)
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 y #s(literal 2 binary64) z)
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 y #s(literal 2 binary64) z)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
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))
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))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 y #s(literal 2 binary64) z)
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 y #s(literal 2 binary64) z)
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 y #s(literal 2 binary64) z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
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))
(+ 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))
z
(+ 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)
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ 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))
(* 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))
(* 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))
(* y (+ 2 (/ z y)))
(fma.f64 y #s(literal 2 binary64) z)
(* y (+ 2 (/ z y)))
(fma.f64 y #s(literal 2 binary64) z)
(* y (+ 2 (/ z y)))
(fma.f64 y #s(literal 2 binary64) z)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 #s(literal 3 binary64) x (*.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))
(* -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))
(* 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))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 y #s(literal 2 binary64) z)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 y #s(literal 2 binary64) z)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 y #s(literal 2 binary64) z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 #s(literal 3 binary64) x (*.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))
(+ 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 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))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.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)
(* 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)
(* 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))
(* 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)))
(* 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))

rewrite196.0ms (3.3%)

Memory
25.4MiB live, 256.6MiB allocated
Rules
5 742×lower-fma.f32
5 740×lower-fma.f64
5 548×lower-*.f64
5 548×lower-*.f32
4 450×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
02167
113261
2142061
0926856
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 233
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
(+.f64 y y)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
(+.f64 (+.f64 y z) y)
(+.f64 y z)
(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)))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 2 binary64) y))
(*.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 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.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 (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 (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 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y))
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.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 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))
(*.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y)
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 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 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 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 (*.f64 y y) #s(literal 4 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 9/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal 3 binary64) x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 #s(literal 3 binary64) x 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 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 3 binary64) x 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 #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 2 binary64) y)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))) (*.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) y))) (*.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
(/.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 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 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (fma.f64 #s(literal 3 binary64) x 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 #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 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 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 3 binary64) x y) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) 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 2 binary64) y))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #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 #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 2 binary64) y)) (fma.f64 #s(literal 2 binary64) y (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #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 #s(literal 3 binary64) x) #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 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(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 #s(literal 3 binary64) x))
(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 #s(literal 3 binary64) x))
(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 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x))
(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 #s(literal 3 binary64) x))
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) x))
(fma.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 #s(literal 3 binary64) x))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x y) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 #s(literal 3 binary64) x y) y)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 2 binary64) y) (*.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 2 binary64) y) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal -2 binary64) y))))
(+.f64 (fma.f64 #s(literal 3 binary64) x y) y)
(+.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 3 binary64) x))
(+.f64 y (fma.f64 #s(literal 3 binary64) x y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)))

eval59.0ms (1%)

Memory
-16.0MiB live, 140.0MiB allocated
Compiler

Compiled 5 864 to 923 computations (84.3% saved)

prune52.0ms (0.9%)

Memory
-17.0MiB live, 145.1MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5070507
Fresh000
Picked033
Done055
Total5078515
Accuracy
100.0%
Counts
515 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
✓42.6%
(+.f64 #s(approx (+ (+ (+ (+ x y) y) x) z) (+.f64 y y)) x)
✓69.5%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 y #s(literal 2 binary64) z))
✓67.6%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
✓63.2%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
✓69.5%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
✓37.9%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 y y))
✓31.3%
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Compiler

Compiled 139 to 90 computations (35.3% saved)

regimes21.0ms (0.4%)

Memory
16.8MiB live, 54.7MiB allocated
Counts
14 → 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) (+.f64 (+.f64 y z) 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) (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)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(+.f64 (+.f64 (+.f64 z (+.f64 y x)) (+.f64 y x)) 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:

6.0ms
y
5.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
5.0ms
z
5.0ms
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)

regimes52.0ms (0.9%)

Memory
-0.1MiB live, 87.6MiB allocated
Counts
11 → 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) (+.f64 (+.f64 y z) 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) (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)))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
Outputs
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y)))
(+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)
Calls

4 calls:

39.0ms
z
4.0ms
y
4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms
x
Results
AccuracySegmentsBranch
90.1%3x
89.7%3y
90.4%3z
74.8%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes13.0ms (0.2%)

Memory
-3.2MiB live, 35.1MiB 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) (+.f64 (+.f64 y z) 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) (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)))
#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 (+.f64 y y)))
#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 (+.f64 y y)))
Calls

3 calls:

5.0ms
x
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
90.8%4y
89.5%3x
89.5%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
-9.2MiB live, 29.4MiB allocated
Counts
8 → 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) (+.f64 (+.f64 y z) 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) (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 #s(literal 3 binary64) x z))
#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))
Calls

3 calls:

4.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
88.4%3y
73.3%3z
88.6%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
5 → 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) (+.f64 (+.f64 y z) y))
#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) (fma.f64 #s(literal 3 binary64) x z))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
88.6%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB 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) (+.f64 (+.f64 y z) y))
Outputs
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y))
#s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
69.5%1y
84.1%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes13.0ms (0.2%)

Memory
-14.4MiB live, 26.2MiB 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 #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 #s(literal 3 binary64) x))
Calls

4 calls:

6.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
56.5%3y
41.7%3z
37.9%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
57.2%3x
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes4.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB 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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
37.9%1z
37.9%1y
37.9%1x
Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch25.0ms (0.4%)

Memory
-11.6MiB live, 62.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.0387112279798198e+110
3.8167268998585727e+110
12.0ms
-1.2491684499573664e-45
-2.0399100846881824e-48
Samples
13.0ms192×0valid
1.0ms11×1valid
1.0ms5×2valid
Compiler

Compiled 235 to 235 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 6.0ms (86.5% of total)
adjust: 1.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.6%)

Memory
-14.5MiB live, 68.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
6.109241488642674e-24
3.8710850250368635e-21
15.0ms
-1.4420182329843617e+155
-1.677873005504847e+149
Samples
14.0ms249×0valid
1.0ms13×1valid
1.0ms8×2valid
0.0ms2×3valid
Compiler

Compiled 218 to 269 computations (-23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 7.0ms (89% of total)
adjust: 1.0ms (12.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Memory
26.9MiB live, 66.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
3652027822667607000.0
2.3713363236938092e+20
12.0ms
-2.6154121494759346e+173
-5.3443318864414364e+166
Samples
12.0ms248×0valid
1.0ms6×1valid
0.0ms2×2valid
Compiler

Compiled 174 to 238 computations (-36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 6.0ms (97.5% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3652027822667607000.0
2.3713363236938092e+20
1.0ms
-2.6154121494759346e+173
-5.3443318864414364e+166
Compiler

Compiled 190 to 238 computations (-25.3% saved)

bsearch21.0ms (0.3%)

Memory
-28.1MiB live, 50.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
4.4502019793310726e+145
1.735983705748496e+148
7.0ms
-2.6154121494759346e+173
-5.3443318864414364e+166
Samples
9.0ms177×0valid
1.0ms10×1valid
1.0ms5×2valid
Compiler

Compiled 184 to 252 computations (-37% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 4.0ms (77.5% of total)
adjust: 1.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3652027822667607000.0
2.3713363236938092e+20
1.0ms
-2.6154121494759346e+173
-5.3443318864414364e+166
Compiler

Compiled 142 to 222 computations (-56.3% saved)

simplify25.0ms (0.4%)

Memory
-8.7MiB live, 72.7MiB allocated
Algorithm
1×egg-herbie
Rules
12×+-commutative-binary64-+.f64
2×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060360
167360
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) (+.f64 z x))
(if (<=.f64 z #s(literal -3470986175599419/6427752177035961102167848369364650410088811975131171341205504 binary64)) (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (if (<=.f64 z #s(literal 105000000000000007481003204427509868104533067315860364228729540896574504752325750256149965265583487693860372480 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)))
(if (<=.f64 x #s(literal -169999999999999991290760917097302001277501843225120187173187812571311566963448865251176044814273170887226469892023179219177483449309094169690161283072 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (if (<=.f64 x #s(literal 631383297997835/166153499473114484112975882535043072 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 3 binary64) x (+.f64 y y)))))
(if (<=.f64 x #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 80000000000000000000 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 3 binary64) x z))))
(if (<=.f64 x #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 80000000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 x #s(literal -94999999999999998430429484671026876244328433992624273460075364421244858292401916582873447919336724013145815636273345837453066320963759468634397984088320215455046303744 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 95999999999999996734222118188876395154402792785386083124578488160709642895074813737302436697492750156468400828569494948493745741502304173101678592 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 80000000000000000000 binary64)) #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))
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 z #s(literal -3470986175599419/6427752177035961102167848369364650410088811975131171341205504 binary64)) (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x) (if (<=.f64 z #s(literal 105000000000000007481003204427509868104533067315860364228729540896574504752325750256149965265583487693860372480 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 y x)) x)))
(if (<=.f64 z #s(literal -3470986175599419/6427752177035961102167848369364650410088811975131171341205504 binary64)) (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 x y)) x) (if (<=.f64 z #s(literal 105000000000000007481003204427509868104533067315860364228729540896574504752325750256149965265583487693860372480 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (+.f64 (+.f64 #s(approx (+ z (+ y x)) (+.f64 z y)) (+.f64 x y)) x)))
(if (<=.f64 x #s(literal -169999999999999991290760917097302001277501843225120187173187812571311566963448865251176044814273170887226469892023179219177483449309094169690161283072 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x (+.f64 y y))) (if (<=.f64 x #s(literal 631383297997835/166153499473114484112975882535043072 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 3 binary64) x (+.f64 y y)))))
(if (<=.f64 x #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 80000000000000000000 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 3 binary64) x z))))
(if (<=.f64 x #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 80000000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 x #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z)) (if (<=.f64 x #s(literal 80000000000000000000 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 z y) y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (fma.f64 #s(literal 3 binary64) x z))))
(if (<=.f64 x #s(literal -94999999999999998430429484671026876244328433992624273460075364421244858292401916582873447919336724013145815636273345837453066320963759468634397984088320215455046303744 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 95999999999999996734222118188876395154402792785386083124578488160709642895074813737302436697492750156468400828569494948493745741502304173101678592 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 y z) y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -94999999999999998430429484671026876244328433992624273460075364421244858292401916582873447919336724013145815636273345837453066320963759468634397984088320215455046303744 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 95999999999999996734222118188876395154402792785386083124578488160709642895074813737302436697492750156468400828569494948493745741502304173101678592 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (+.f64 (+.f64 z y) y)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -54000000000000002346756940152345127351932283551537169212720231650476974307569390489597295259827276376181712873618436288482251466554628275501890594252591985762674671616 binary64)) #s(approx (+ (+ (+ (+ (+ x y) y) x) z) x) (*.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 80000000000000000000 binary64)) #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))

soundness1.1s (17.7%)

Memory
19.7MiB live, 705.2MiB allocated
Rules
10 174×lower-fma.f64
10 174×lower-fma.f32
9 318×lower-fma.f32
9 314×lower-fma.f64
7 266×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101704
1306702
2815702
32381702
45563702
08365598
01542250
14662250
212022250
337472250
475152250
082281889
0832
01332
18126
287826
0813023
026136
036136
1205126
22151126
08485121
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 315 to 192 computations (39% saved)

preprocess89.0ms (1.5%)

Memory
4.2MiB live, 160.2MiB allocated
Compiler

Compiled 348 to 120 computations (65.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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