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

Time bar (total: 8.1s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample675.0ms (8.3%)

Memory
12.3MiB live, 995.4MiB allocated
Samples
397.0ms7 656×0valid
39.0ms341×1valid
33.0ms193×2valid
17.0ms66×3valid
Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-add: 232.0ms (86.5% of total)
adjust: 27.0ms (10.1% of total)
ival-true: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess285.0ms (3.5%)

Memory
1.8MiB live, 49.6MiB allocated
Algorithm
2×egg-herbie
Rules
2 202×unsub-neg
1 340×distribute-neg-in
1 114×associate-+r+
876×sub-neg
768×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041115
114592
257190
3240490
4431790
5567990
6608590
7619990
8621090
9621090
10686590
11707490
12709890
13710690
14710690
15710690
16711090
17784290
0811
1219
2669
31619
42549
52599
02597
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
Outputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 y #s(literal 2 binary64) z))
Call 2
Inputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x))
(+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x)
(+ (+ (+ (+ (+ x y) y) x) (neg z)) x)
(neg (+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x)))
(neg (+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x))
(neg (+ (+ (+ (+ (+ x y) y) x) (neg z)) x))
(+ (+ (+ (+ (+ y x) x) y) z) y)
(+ (+ (+ (+ (+ z y) y) z) x) z)
(+ (+ (+ (+ (+ x z) z) x) y) x)
Outputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ x (+ (* (+ x y) 2) z))
(+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x))
(+ z (- (* (- x y) -2) x))
(+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x)
(+ z (+ x (* (- x y) 2)))
(+ (+ (+ (+ (+ x y) y) x) (neg z)) x)
(+ y (- y (+ z (* x -3))))
(neg (+ (+ (+ (+ (+ (neg x) y) y) (neg x)) z) (neg x)))
(- x (+ z (* (- x y) -2)))
(neg (+ (+ (+ (+ (+ x (neg y)) (neg y)) x) z) x))
(+ y (+ y (- (* x -3) z)))
(neg (+ (+ (+ (+ (+ x y) y) x) (neg z)) x))
(+ z (- (- (* x -3) y) y))
(+ (+ (+ (+ (+ y x) x) y) z) y)
(+ x (+ z (+ x (* y 3))))
(+ (+ (+ (+ (+ z y) y) z) x) z)
(+ y (+ y (+ x (* z 3))))
(+ (+ (+ (+ (+ x z) z) x) y) x)
(+ (+ x y) (* (+ x z) 2))

explain239.0ms (2.9%)

Memory
-20.2MiB live, 176.5MiB 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
47.0ms26×1valid
42.0ms474×0valid
2.0ms10×2valid
0.0ms2×3valid
Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-add: 56.0ms (95.8% of total)
adjust: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB 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 14 to 8 computations (42.9% saved)

simplify10.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB 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×+-lowering-+.f64
266×+-lowering-+.f32
222×associate-+r+
132×associate-+l+
104×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0838
12132
26632
316132
425432
525932
025928
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ (+ (+ x y) y) x) z)
(+ (+ (+ x y) y) x)
(+ (+ x y) y)
(+ x y)
x
y
z
Outputs
(+ (+ (+ (+ (+ x y) y) x) z) x)
(fma.f64 x #s(literal 3 binary64) (fma.f64 y #s(literal 2 binary64) z))
(+ (+ (+ (+ x y) y) x) z)
(fma.f64 (+.f64 x y) #s(literal 2 binary64) z)
(+ (+ (+ x y) y) x)
(*.f64 (+.f64 x y) #s(literal 2 binary64))
(+ (+ x y) y)
(fma.f64 y #s(literal 2 binary64) x)
(+ x y)
(+.f64 x y)
x
y
z

localize70.0ms (0.9%)

Memory
-0.8MiB live, 38.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(+.f64 (+.f64 (+.f64 x y) y) x)
✓accuracy100.0%
(+.f64 (+.f64 x y) y)
✓accuracy99.9%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Samples
59.0ms237×0valid
1.0ms13×1valid
1.0ms5×2valid
0.0ms1×3valid
Compiler

Compiled 40 to 10 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 7.0ms (93.1% of total)
adjust: 1.0ms (13.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (+ (+ (+ (+ x y) y) x) z)>
#<alt (+ (+ (+ x y) y) x)>
#<alt (+ (+ (+ (+ (+ x y) y) x) z) x)>
#<alt (+ (+ x y) y)>
#<alt (+ x y)>
Outputs
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (+ z (* 2 x))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))>
#<alt (* 2 y)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* x (+ 2 (* 2 (/ y x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (+ (* 2 x) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* y (+ 2 (* 2 (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -2 (/ x y)) 2)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))>
#<alt (* 2 y)>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
Calls

36 calls:

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

rewrite832.0ms (10.2%)

Memory
-38.9MiB live, 495.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 184×accelerator-lowering-fma.f32
5 184×accelerator-lowering-fma.f64
4 742×*-lowering-*.f32
4 742×*-lowering-*.f64
4 214×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0835
17629
287329
0812726
Stop Event
1×iter limit
1×node limit
Counts
5 → 593
Calls
Call 1
Inputs
(+ (+ (+ (+ x y) y) x) z)
(+ (+ (+ x y) y) x)
(+ (+ (+ (+ (+ x y) y) x) z) x)
(+ (+ x y) y)
(+ x y)
Outputs
(+.f64 x (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(+.f64 x (+.f64 (fma.f64 #s(literal 2 binary64) y x) z))
(+.f64 y (+.f64 (+.f64 x y) (+.f64 x z)))
(+.f64 (+.f64 x y) (+.f64 y (+.f64 x z)))
(+.f64 (+.f64 x y) (+.f64 (+.f64 x y) z))
(+.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x z))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)
(+.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 (+.f64 x z) (fma.f64 #s(literal 2 binary64) y x))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(+.f64 (+.f64 z (+.f64 x y)) (+.f64 x y))
(+.f64 (+.f64 z (fma.f64 #s(literal 2 binary64) y x)) x)
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x z))) (/.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x z))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 y (+.f64 x z)))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 (+.f64 x y) z))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))) (+.f64 y (+.f64 x z)))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))) (+.f64 (+.f64 x y) z))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)))) z)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))))) z)
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(fma.f64 (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y))))) (+.f64 x z))
(fma.f64 (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y))))) (+.f64 x z))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 y (+.f64 x z)))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) z))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) y x) x)) z)
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y y))) (+.f64 x z))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) z)
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(-.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 y y))) (/.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (-.f64 x (+.f64 y y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (+.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 y (+.f64 x y))))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) y)
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))) y)
(fma.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y y))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y)))))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) y)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))) y)
(fma.f64 (fma.f64 y (*.f64 y y) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) x)
(fma.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x y) y)
(fma.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) y)
(/.f64 (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y)))))
(/.f64 (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))) (+.f64 x (-.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 x (+.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y)))) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 x (+.f64 y y)))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))))
(/.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 (-.f64 x (+.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (+.f64 y y) (+.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (+.f64 x y)) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y y) (+.f64 y y))) (-.f64 x (+.f64 y y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 y (+.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (*.f64 (+.f64 x (-.f64 y y)) (*.f64 y y))) (*.f64 (+.f64 x (-.f64 y y)) (+.f64 x (-.f64 y y))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 x (+.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y y) (+.f64 y y)))) (neg.f64 (-.f64 x (+.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y)))) (neg.f64 (-.f64 y (+.f64 x y))))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 y y) (+.f64 y y) (-.f64 (*.f64 x x) (*.f64 (+.f64 y y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y))) (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y))) (*.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 x (-.f64 y y))) (/.f64 (*.f64 y y) (+.f64 x (-.f64 y y)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y))))))
(*.f64 (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 y (-.f64 y (+.f64 x y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (+.f64 x (-.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (-.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 x (+.f64 y y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y y) (+.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 y y))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 y (+.f64 x y))))
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))

simplify312.0ms (3.8%)

Memory
-7.6MiB live, 469.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 710×accelerator-lowering-fma.f32
10 710×accelerator-lowering-fma.f64
2 766×*-lowering-*.f32
2 766×*-lowering-*.f64
1 564×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113764
1343762
2900762
32801762
46719762
08258658
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(+ z (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 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)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 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)
(* -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 x) (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y 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)))
(* 2 y)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 x)
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* x (+ 2 (* 2 (/ y x))))
(* 2 x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(* 2 x)
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(+ (* 2 x) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* y (+ 2 (* 2 (/ x y))))
(* 2 y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ 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)
(* -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)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(+ x (+ z (+ (* 2 x) (* 2 y))))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ (* 2 x) (* 2 y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
z
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* z (+ 1 (+ (* 2 (/ x z)) (* 2 (/ y z)))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* -1 (* z (- (* -1 (/ (+ (* 2 x) (* 2 y)) z)) 1)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ (* 2 x) (* 2 y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 2 x) (* 2 y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 2 x) (* 2 y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* x (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* x (+ 2 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* 2 x) (* 2 y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 2 x) (* 2 y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ (* 2 x) (* 2 y))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* y (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* y (+ 2 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) #s(literal 0 binary64))
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (* 2 x)))
(fma.f64 x #s(literal 3 binary64) z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
z
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* z (+ 1 (+ (* 2 (/ x z)) (+ (* 2 (/ y z)) (/ x z)))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
z
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (+ (* 2 x) (* 2 y))) z)) 1)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
x
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

eval91.0ms (1.1%)

Memory
11.1MiB live, 203.2MiB allocated
Compiler

Compiled 26 531 to 2 463 computations (90.7% saved)

prune180.0ms (2.2%)

Memory
8.0MiB live, 244.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New7298737
Fresh000
Picked101
Done000
Total7308738
Accuracy
100.0%
Counts
738 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.6%
(fma.f64 x #s(literal 3 binary64) z)
67.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
▶99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
68.3%
(fma.f64 #s(literal 2 binary64) y z)
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
37.8%
(+.f64 z x)
▶31.9%
(*.f64 x #s(literal 3 binary64))
▶33.0%
z
Compiler

Compiled 130 to 90 computations (30.8% saved)

simplify12.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 2 binary64) (+.f64 x y) z)
✓cost-diff0
(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
✓cost-diff0
(fma.f64 x #s(literal 3 binary64) z)
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(+.f64 x z)
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
Rules
288×accelerator-lowering-fma.f32
288×accelerator-lowering-fma.f64
104×+-lowering-+.f64
104×+-lowering-+.f32
88×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01677
13877
28677
316077
418477
518477
018467
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* 2 (+ x y)) (+ x z))
2
(+ x y)
x
y
(+ x z)
z
z
(* x 3)
x
3
(+ (* x 3) z)
x
3
z
(/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z))))
1
(/ 1 (+ x (+ (* 2 (+ x y)) z)))
(+ x (+ (* 2 (+ x y)) z))
x
(+ (* 2 (+ x y)) z)
2
(+ x y)
y
z
Outputs
(+ (* 2 (+ x y)) (+ x z))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
x
y
(+ x z)
(+.f64 x z)
z
z
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ (* x 3) z)
(fma.f64 x #s(literal 3 binary64) z)
x
3
#s(literal 3 binary64)
z
(/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
1
#s(literal 1 binary64)
(/ 1 (+ x (+ (* 2 (+ x y)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z)))
(+ x (+ (* 2 (+ x y)) z))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x #s(literal 3 binary64) z))
x
(+ (* 2 (+ x y)) z)
(fma.f64 #s(literal 2 binary64) (+.f64 x y) z)
2
#s(literal 2 binary64)
(+ x y)
(+.f64 x y)
y
z

localize56.0ms (0.7%)

Memory
-20.1MiB live, 116.1MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy99.9%
(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
✓accuracy100.0%
(fma.f64 x #s(literal 3 binary64) z)
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy100.0%
(+.f64 x z)
✓accuracy100.0%
(+.f64 x y)
✓accuracy99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
Samples
23.0ms225×0valid
7.0ms17×1valid
3.0ms10×2valid
2.0ms4×3valid
Compiler

Compiled 77 to 18 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 8.0ms (46.2% of total)
ival-div: 4.0ms (23.1% of total)
ival-mult: 3.0ms (17.3% of total)
adjust: 2.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-9.0MiB live, 30.0MiB allocated
Counts
9 → 264
Calls
Call 1
Inputs
#<alt (+ (* 2 (+ x y)) (+ x z))>
#<alt (+ x y)>
#<alt (+ x z)>
#<alt (* x 3)>
#<alt (+ (* x 3) z)>
#<alt (/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z))))>
#<alt (/ 1 (+ x (+ (* 2 (+ x y)) z)))>
#<alt (+ x (+ (* 2 (+ x y)) z))>
#<alt (+ (* 2 (+ x y)) z)>
Outputs
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (* 2 (+ x y)))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt z>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* 3 x)>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt z>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (* 2 (+ x y)))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (/ 1 (+ z (* 2 y)))>
#<alt (+ (* -3 (/ x (pow (+ z (* 2 y)) 2))) (/ 1 (+ z (* 2 y))))>
#<alt (+ (* x (- (* 9 (/ x (pow (+ z (* 2 y)) 3))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))>
#<alt (+ (* x (- (* x (+ (* -27 (/ x (pow (+ z (* 2 y)) 4))) (* 9 (/ 1 (pow (+ z (* 2 y)) 3))))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* -1/9 (/ (+ z (* 2 y)) x))) x)>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2)))) (* 1/9 (/ (+ z (* 2 y)) x))) x)>
#<alt (/ (- (+ 1/3 (* -1/81 (/ (pow (+ z (* 2 y)) 3) (pow x 3)))) (+ (* -1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2))) (* 1/9 (/ (+ z (* 2 y)) x)))) x)>
#<alt (/ 1/3 x)>
#<alt (* -1 (/ (- (* 1/9 (/ (+ z (* 2 y)) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (+ z (* 2 y)) 2) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (+ z (* 2 y)) 3) x)) (* 1/27 (pow (+ z (* 2 y)) 2))) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))>
#<alt (/ 1 (+ x (+ z (* 2 x))))>
#<alt (+ (* -2 (/ y (pow (+ x (+ z (* 2 x))) 2))) (/ 1 (+ x (+ z (* 2 x)))))>
#<alt (+ (* y (- (* 4 (/ y (pow (+ x (+ z (* 2 x))) 3))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))>
#<alt (+ (* y (- (* y (+ (* -8 (/ y (pow (+ x (+ z (* 2 x))) 4))) (* 4 (/ 1 (pow (+ x (+ z (* 2 x))) 3))))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/4 (/ (+ x (+ z (* 2 x))) y))) y)>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2)))) (* 1/4 (/ (+ x (+ z (* 2 x))) y))) y)>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (pow (+ x (+ z (* 2 x))) 3) (pow y 3)))) (+ (* -1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2))) (* 1/4 (/ (+ x (+ z (* 2 x))) y)))) y)>
#<alt (/ 1/2 y)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ x (+ z (* 2 x))) y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ x (+ z (* 2 x))) 3) y)) (* 1/8 (pow (+ x (+ z (* 2 x))) 2))) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))>
#<alt (/ 1 (+ x (* 2 (+ x y))))>
#<alt (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 2))) (/ 1 (+ x (* 2 (+ x y)))))>
#<alt (+ (* z (- (/ z (pow (+ x (* 2 (+ x y))) 3)) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 4))) (/ 1 (pow (+ x (* 2 (+ x y))) 3)))) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ (+ x (* 2 (+ x y))) z))) z)>
#<alt (/ (- (+ 1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z))) z)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ x (* 2 (+ x y))) 3) (pow z 3)))) (+ (* -1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z)))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (+ z (+ (* 2 y) (* 3 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (+ x (+ z (+ (* 2 x) (* 2 y))))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))>
#<alt (+ x (* 2 (+ x y)))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt (+ x (+ z (* 2 (+ x y))))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))>
#<alt (+ z (* 2 y))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))>
#<alt (+ z (* 2 x))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (+ z (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))>
#<alt (* 2 (+ x y))>
#<alt (+ z (* 2 (+ x y)))>
#<alt (+ z (* 2 (+ x y)))>
#<alt (+ z (* 2 (+ x y)))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ (+ x y) z))))>
#<alt (* z (+ 1 (* 2 (/ (+ x y) z))))>
#<alt (* z (+ 1 (* 2 (/ (+ x y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))>
Calls

66 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x 3)
1.0ms
z
@inf
(/ 1 (+ x (+ (* 2 (+ x y)) z)))
1.0ms
z
@0
(+ (* 2 (+ x y)) (+ x z))
0.0ms
x
@inf
(/ 1 (+ x (+ (* 2 (+ x y)) z)))
0.0ms
y
@0
(/ 1 (+ x (+ (* 2 (+ x y)) z)))

rewrite509.0ms (6.2%)

Memory
14.3MiB live, 917.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 290×accelerator-lowering-fma.f32
6 290×accelerator-lowering-fma.f64
4 028×*-lowering-*.f32
4 028×*-lowering-*.f64
4 006×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01659
111459
2105259
0846053
Stop Event
1×iter limit
1×node limit
Counts
9 → 985
Calls
Call 1
Inputs
(+ (* 2 (+ x y)) (+ x z))
(+ x y)
(+ x z)
(* x 3)
(+ (* x 3) z)
(/ 1 (/ 1 (+ x (+ (* 2 (+ x y)) z))))
(/ 1 (+ x (+ (* 2 (+ x y)) z)))
(+ x (+ (* 2 (+ x y)) z))
(+ (* 2 (+ x y)) z)
Outputs
(+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z))
(+.f64 z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+.f64 (+.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) x)
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 x z)))) (neg.f64 (/.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 x z))))))
(+.f64 (+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) y))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
(+.f64 (neg.f64 (fma.f64 (+.f64 x y) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x y))) (+.f64 x z))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y (+.f64 x z))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) z))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 x z)))) (/.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 x z)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 x z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) x)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)) (/.f64 (*.f64 z z) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)))
(-.f64 (/.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (+.f64 (+.f64 x z) (*.f64 (+.f64 x y) #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 (+.f64 x z) (*.f64 (+.f64 x y) #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
(fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) y (+.f64 x z)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
(fma.f64 (+.f64 x y) #s(literal 2 binary64) (+.f64 x z))
(fma.f64 z #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x z))
(fma.f64 #s(literal 1 binary64) z (fma.f64 #s(literal 2 binary64) (+.f64 x y) x))
(fma.f64 #s(literal 1 binary64) (+.f64 x z) (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (+.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y (+.f64 x z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) z)
(fma.f64 #s(literal 1 binary64) (+.f64 (+.f64 x z) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) (-.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) #s(literal -2 binary64) (+.f64 x z))) (neg.f64 (/.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) (-.f64 #s(literal 0 binary64) (+.f64 x z))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) z) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 z (*.f64 (+.f64 x y) #s(literal -2 binary64)))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) z))))
(*.f64 (fma.f64 z z (*.f64 #s(literal -4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(literal 2 binary64) (+.f64 x y)))))

simplify550.0ms (6.8%)

Memory
1.8MiB live, 766.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 330×accelerator-lowering-fma.f32
13 330×accelerator-lowering-fma.f64
6 962×*-lowering-*.f32
6 962×*-lowering-*.f64
3 964×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03222734
19362687
225902528
086192227
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ 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)
(* -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)))
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* -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)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
z
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* 3 x)
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
z
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
(* z (+ 1 (* 3 (/ x z))))
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(* -1 (* z (- (* -3 (/ x z)) 1)))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ 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)
(* -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)))
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* -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)))
(/ 1 (+ z (* 2 y)))
(+ (* -3 (/ x (pow (+ z (* 2 y)) 2))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* 9 (/ x (pow (+ z (* 2 y)) 3))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(+ (* x (- (* x (+ (* -27 (/ x (pow (+ z (* 2 y)) 4))) (* 9 (/ 1 (pow (+ z (* 2 y)) 3))))) (* 3 (/ 1 (pow (+ z (* 2 y)) 2))))) (/ 1 (+ z (* 2 y))))
(/ 1/3 x)
(/ (+ 1/3 (* -1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2)))) (* 1/9 (/ (+ z (* 2 y)) x))) x)
(/ (- (+ 1/3 (* -1/81 (/ (pow (+ z (* 2 y)) 3) (pow x 3)))) (+ (* -1/27 (/ (pow (+ z (* 2 y)) 2) (pow x 2))) (* 1/9 (/ (+ z (* 2 y)) x)))) x)
(/ 1/3 x)
(* -1 (/ (- (* 1/9 (/ (+ z (* 2 y)) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow (+ z (* 2 y)) 2) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow (+ z (* 2 y)) 3) x)) (* 1/27 (pow (+ z (* 2 y)) 2))) x)) (* 1/9 (+ z (* 2 y)))) x)) 1/3) x))
(/ 1 (+ x (+ z (* 2 x))))
(+ (* -2 (/ y (pow (+ x (+ z (* 2 x))) 2))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* 4 (/ y (pow (+ x (+ z (* 2 x))) 3))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(+ (* y (- (* y (+ (* -8 (/ y (pow (+ x (+ z (* 2 x))) 4))) (* 4 (/ 1 (pow (+ x (+ z (* 2 x))) 3))))) (* 2 (/ 1 (pow (+ x (+ z (* 2 x))) 2))))) (/ 1 (+ x (+ z (* 2 x)))))
(/ 1/2 y)
(/ (+ 1/2 (* -1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2)))) (* 1/4 (/ (+ x (+ z (* 2 x))) y))) y)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ x (+ z (* 2 x))) 3) (pow y 3)))) (+ (* -1/8 (/ (pow (+ x (+ z (* 2 x))) 2) (pow y 2))) (* 1/4 (/ (+ x (+ z (* 2 x))) y)))) y)
(/ 1/2 y)
(* -1 (/ (- (* 1/4 (/ (+ x (+ z (* 2 x))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ x (+ z (* 2 x))) 2) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ x (+ z (* 2 x))) 3) y)) (* 1/8 (pow (+ x (+ z (* 2 x))) 2))) y)) (* 1/4 (+ x (+ z (* 2 x))))) y)) 1/2) y))
(/ 1 (+ x (* 2 (+ x y))))
(+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 2))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (/ z (pow (+ x (* 2 (+ x y))) 3)) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(+ (* z (- (* z (+ (* -1 (/ z (pow (+ x (* 2 (+ x y))) 4))) (/ 1 (pow (+ x (* 2 (+ x y))) 3)))) (/ 1 (pow (+ x (* 2 (+ x y))) 2)))) (/ 1 (+ x (* 2 (+ x y)))))
(/ 1 z)
(/ (+ 1 (* -1 (/ (+ x (* 2 (+ x y))) z))) z)
(/ (- (+ 1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z))) z)
(/ (- (+ 1 (* -1 (/ (pow (+ x (* 2 (+ x y))) 3) (pow z 3)))) (+ (* -1 (/ (pow (+ x (* 2 (+ x y))) 2) (pow z 2))) (+ (* 2 (/ (+ x y) z)) (/ x z)))) z)
(/ 1 z)
(* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z))
(+ z (* 2 y))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(+ z (+ (* 2 y) (* 3 x)))
(* 3 x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(+ 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)
(* -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)))
(+ x (* 2 (+ x y)))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
(+ x (+ z (* 2 (+ x y))))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
z
(* -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 (* 2 y))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 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)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(+ z (* 2 x))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 x) (* 2 y)))
(+ z (+ (* 2 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)
(* -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 (+ x y))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
(+ z (* 2 (+ x y)))
z
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
(* z (+ 1 (* 2 (/ (+ x y) z))))
z
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
Outputs
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 y x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 y x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 y x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y))))
(+ x (* 2 (+ x y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) (/.f64 x z)) z)
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) z)
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) z)
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) z)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
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(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) #s(literal -1 binary64))) z) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) z)) (-.f64 #s(literal 0 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* -1 (/ (- (+ (* 2 (/ (+ x y) z)) (/ x z)) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) (/.f64 x z))) z)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 2) z) (+ x (* 2 (+ x y)))) z)) 1) z))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) #s(literal -1 binary64)) #s(literal 1 binary64)) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 2 (+ x y))) 3) z) (pow (+ x (* 2 (+ x y))) 2)) z)) (+ x (* 2 (+ x y)))) z)) 1) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) #s(literal -1 binary64))) z) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)) z)) (-.f64 #s(literal 0 binary64) z))
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ z (+ (* 2 y) (* 3 x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 y x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 y x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* x (+ 3 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 y x) (+.f64 #s(literal 3 binary64) (/.f64 z x))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 3)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(+ x (+ z (* 2 x)))
(fma.f64 #s(literal 3 binary64) x z)
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (+ (* 2 x) (* 2 y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* y (+ 2 (+ (* 2 (/ x y)) (+ (/ x y) (/ z y)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) (/.f64 z y))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y))))
(* -1 (* y (- (* -1 (/ (+ x (+ z (* 2 x))) y)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x z) y))))
(+ x (* 2 (+ x y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
(+ x (+ z (* 2 (+ x y))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 3 binary64) x z))
z
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) (/.f64 x z)) z)
(* z (+ 1 (+ (* 2 (/ (+ x y) z)) (/ x z))))
(fma.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) (/.f64 x z)) z)
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) z)
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) z)
(* -1 (* z (- (* -1 (/ (+ x (* 2 (+ x y))) z)) 1)))
(fma.f64 z (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) z) z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* x (+ 2 (+ (* 2 (/ y x)) (/ z x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 z x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(* -1 (* x (- (* -1 (/ (+ z (* 2 y)) x)) 2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y z) x))))
(+ z (* 2 x))
(fma.f64 #s(literal 2 binary64) x z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(*.f64 y (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 z y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(*.f64 y (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 z y)))
(* y (+ 2 (+ (* 2 (/ x y)) (/ z y))))
(*.f64 y (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 z y)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x z) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x z) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- (* -1 (/ (+ z (* 2 x)) y)) 2)))
(*.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x z) y)) (-.f64 #s(literal 0 binary64) y))
(* 2 (+ x y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ z (* 2 (+ x y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (* 2 (+ x y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
(+ z (* 2 (+ x y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) z)
z
(* z (+ 1 (* 2 (/ (+ x y) z))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) #s(literal 1 binary64)))
(* z (+ 1 (* 2 (/ (+ x y) z))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) #s(literal 1 binary64)))
(* z (+ 1 (* 2 (/ (+ x y) z))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 y x) z) #s(literal 1 binary64)))
z
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -2 (/ (+ x y) z)) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))

eval192.0ms (2.4%)

Memory
-9.5MiB live, 311.9MiB allocated
Compiler

Compiled 39 597 to 2 441 computations (93.8% saved)

prune126.0ms (1.6%)

Memory
3.9MiB live, 274.8MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 30831 311
Fresh033
Picked235
Done000
Total1 31091 319
Accuracy
100.0%
Counts
1 319 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
(fma.f64 x #s(literal 3 binary64) z)
▶67.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
▶68.3%
(fma.f64 #s(literal 2 binary64) y z)
▶63.6%
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
31.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
▶37.8%
(+.f64 z x)
✓31.9%
(*.f64 x #s(literal 3 binary64))
▶36.9%
(*.f64 #s(literal 2 binary64) y)
✓33.0%
z
Compiler

Compiled 107 to 79 computations (26.2% saved)

simplify5.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓cost-diff0
(+.f64 x z)
✓cost-diff192
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
✓cost-diff0
(*.f64 #s(literal 2 binary64) y)
✓cost-diff0
(+.f64 z x)
✓cost-diff0
(fma.f64 #s(literal 2 binary64) y z)
Rules
52×+-lowering-+.f64
52×+-lowering-+.f32
48×accelerator-lowering-fma.f32
48×accelerator-lowering-fma.f64
20×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12442
23942
34942
04939
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* 2 y) z)
2
y
z
(+ z x)
z
x
(* 2 y)
2
y
(+ (* 2 x) (+ x z))
2
x
(+ x z)
z
(+ (* 2 (+ y x)) x)
2
(+ y x)
y
x
Outputs
(+ (* 2 y) z)
(fma.f64 #s(literal 2 binary64) y z)
2
#s(literal 2 binary64)
y
z
(+ z x)
(+.f64 z x)
z
x
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y
(+ (* 2 x) (+ x z))
(fma.f64 x #s(literal 3 binary64) z)
2
#s(literal 2 binary64)
x
(+ x z)
(+.f64 z x)
z
(+ (* 2 (+ y x)) x)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
2
#s(literal 2 binary64)
(+ y x)
(+.f64 y x)
y
x

localize48.0ms (0.6%)

Memory
-3.8MiB live, 76.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y x)
✓accuracy99.9%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓accuracy100.0%
(+.f64 x z)
✓accuracy99.9%
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(+.f64 z x)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) y z)
Samples
25.0ms224×0valid
3.0ms13×2valid
2.0ms10×1valid
2.0ms4×4valid
1.0ms3×3valid
1.0ms2×5exit
Compiler

Compiled 43 to 15 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 10.0ms (50.5% of total)
ival-add: 8.0ms (40.4% of total)
adjust: 2.0ms (10.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<alt (+ (* 2 y) z)>
#<alt (+ z x)>
#<alt (* 2 y)>
#<alt (+ (* 2 x) (+ x z))>
#<alt (+ x z)>
#<alt (+ (* 2 (+ y x)) x)>
#<alt (+ y x)>
Outputs
#<alt z>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* y (+ 2 (/ z y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 2)))>
#<alt (* 2 y)>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt (+ z (* 2 y))>
#<alt z>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt (* z (+ 1 (* 2 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -2 (/ y z)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt z>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (+ z (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (+ x (* 2 x))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt (+ x (+ z (* 2 x)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (+ x (* 2 x))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (+ x (+ (* 2 x) (* 2 y)))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
Calls

39 calls:

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

rewrite444.0ms (5.4%)

Memory
-4.5MiB live, 710.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
12 052×accelerator-lowering-fma.f32
12 052×accelerator-lowering-fma.f64
5 466×*-lowering-*.f32
5 466×*-lowering-*.f64
3 622×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
18729
286429
0853626
Stop Event
1×iter limit
1×node limit
Counts
7 → 319
Calls
Call 1
Inputs
(+ (* 2 y) z)
(+ z x)
(* 2 y)
(+ (* 2 x) (+ x z))
(+ x z)
(+ (* 2 (+ y x)) x)
(+ y x)
Outputs
(+.f64 (*.f64 #s(literal 2 binary64) y) z)
(+.f64 z (*.f64 #s(literal 2 binary64) y))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 #s(literal 2 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 z (*.f64 #s(literal 2 binary64) y))))
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 y #s(literal 2 binary64) z)
(fma.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z)))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z z (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z)) (-.f64 (*.f64 #s(literal 2 binary64) y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) z))) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 z z (*.f64 #s(literal -4 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 z z (*.f64 #s(literal -4 binary64) (*.f64 y y))) (-.f64 z (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(/.f64 (neg.f64 (fma.f64 z z (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 z (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))) (+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) y z) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y))))))
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))))
(*.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))) (*.f64 (fma.f64 #s(literal 2 binary64) y z) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 8 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 z (-.f64 z (*.f64 #s(literal 2 binary64) y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y z))
(*.f64 (fma.f64 z z (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(literal 2 binary64) y))))
(+.f64 z x)
(+.f64 x z)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 x z))))
(+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 x z))))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z (-.f64 z x) (*.f64 x x)))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x z))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 x z))) (-.f64 #s(literal 0 binary64) (-.f64 x z)))
(/.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 z x))) (-.f64 #s(literal 0 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 z z))) (*.f64 (-.f64 x z) (-.f64 x z)))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 x z)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x z))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 z x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 x x) (-.f64 x z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 x x) (-.f64 x z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) (+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64))
(*.f64 (+.f64 z x) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(*.f64 (+.f64 z x) (*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (*.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(*.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (*.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(*.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (+.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x z))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 #s(literal 0 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 z x))))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 z (*.f64 #s(literal 3 binary64) x))
(+.f64 x (fma.f64 #s(literal 2 binary64) x z))
(+.f64 x (+.f64 z (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 z x))
(+.f64 (+.f64 z x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 3 binary64) x) z)
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 z x))) (neg.f64 (/.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (-.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 z x)))))
(+.f64 (fma.f64 #s(literal 2 binary64) x z) x)
(+.f64 (+.f64 z (*.f64 #s(literal 2 binary64) x)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (-.f64 (/.f64 (*.f64 z z) (-.f64 x z)) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 z x))) (/.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (-.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 z x))))
(-.f64 (/.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (+.f64 z (-.f64 x (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 z (-.f64 x (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 3 binary64) x) z)))
(-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 x x) (-.f64 x z))) (/.f64 (*.f64 z z) (-.f64 x z)))
(-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 z z) (-.f64 z x))) (/.f64 (*.f64 x x) (-.f64 z x)))
(fma.f64 #s(literal 2 binary64) x (+.f64 z x))
(fma.f64 x #s(literal 2 binary64) (+.f64 z x))
(fma.f64 (+.f64 z x) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 x z))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (+.f64 z x) (*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z x))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 3 binary64) x z)
(fma.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z x) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))
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(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 0 binary64) (-.f64 y x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) (-.f64 y x))) (-.f64 y x)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) (-.f64 y x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 #s(literal 0 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y x))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

simplify303.0ms (3.7%)

Memory
5.8MiB live, 474.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 330×accelerator-lowering-fma.f32
9 330×accelerator-lowering-fma.f64
2 898×*-lowering-*.f32
2 898×*-lowering-*.f64
1 218×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094564
1284564
2696564
32142564
44805564
57100564
08043510
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
z
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
(* 2 y)
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* y (+ 2 (/ z y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(* 2 y)
(+ z (* 2 y))
(+ z (* 2 y))
(+ z (* 2 y))
z
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
(* z (+ 1 (* 2 (/ y z))))
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
(* -1 (* z (- (* -2 (/ y z)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
z
(+ z (* 3 x))
(+ z (* 3 x))
(+ z (* 3 x))
(* 3 x)
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* x (+ 3 (/ z x)))
(* 3 x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(+ x (* 2 x))
(+ x (+ z (* 2 x)))
(+ x (+ z (* 2 x)))
(+ x (+ z (* 2 x)))
z
(* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))
(* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+ x (* 2 x))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(+ x (+ (* 2 x) (* 2 y)))
(* 2 y)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(* 2 y)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
z
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* y (+ 2 (/ z y)))
(fma.f64 #s(literal 2 binary64) y z)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* y (- (* -1 (/ z y)) 2)))
(fma.f64 #s(literal 2 binary64) y z)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
(+ z (* 2 y))
(fma.f64 #s(literal 2 binary64) y z)
z
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
(* z (+ 1 (* 2 (/ y z))))
(fma.f64 #s(literal 2 binary64) y z)
z
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
(* -1 (* z (- (* -2 (/ y z)) 1)))
(fma.f64 #s(literal 2 binary64) y z)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
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
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
z
(+ z (* 3 x))
(fma.f64 x #s(literal 3 binary64) z)
(+ z (* 3 x))
(fma.f64 x #s(literal 3 binary64) z)
(+ z (* 3 x))
(fma.f64 x #s(literal 3 binary64) z)
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* x (+ 3 (/ z x)))
(fma.f64 x #s(literal 3 binary64) z)
(* x (+ 3 (/ z x)))
(fma.f64 x #s(literal 3 binary64) z)
(* x (+ 3 (/ z x)))
(fma.f64 x #s(literal 3 binary64) z)
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 x #s(literal 3 binary64) z)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 x #s(literal 3 binary64) z)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 x #s(literal 3 binary64) z)
(+ x (* 2 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(+ x (+ z (* 2 x)))
(fma.f64 x #s(literal 3 binary64) z)
(+ x (+ z (* 2 x)))
(fma.f64 x #s(literal 3 binary64) z)
(+ x (+ z (* 2 x)))
(fma.f64 x #s(literal 3 binary64) z)
z
(* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))
(fma.f64 x #s(literal 3 binary64) z)
(* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))
(fma.f64 x #s(literal 3 binary64) z)
(* z (+ 1 (+ (* 2 (/ x z)) (/ x z))))
(fma.f64 x #s(literal 3 binary64) z)
z
(* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))
(fma.f64 x #s(literal 3 binary64) z)
(* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))
(fma.f64 x #s(literal 3 binary64) z)
(* -1 (* z (- (* -1 (/ (+ x (* 2 x)) z)) 1)))
(fma.f64 x #s(literal 3 binary64) z)
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* x (+ 1 (/ z x)))
(+.f64 z x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
z
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ x z)))
(+.f64 z x)
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)
(+ x (* 2 x))
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ x (+ (* 2 x) (* 2 y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* y (+ 2 (+ (* 2 (/ x y)) (/ x y))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* y (- (* -1 (/ (+ x (* 2 x)) y)) 2)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

eval81.0ms (1%)

Memory
-2.4MiB live, 113.9MiB allocated
Compiler

Compiled 7 912 to 777 computations (90.2% saved)

prune57.0ms (0.7%)

Memory
-26.6MiB live, 127.8MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4723475
Fresh101
Picked055
Done033
Total47311484
Accuracy
100.0%
Counts
484 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
(fma.f64 x #s(literal 3 binary64) z)
▶67.3%
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
✓67.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓68.3%
(fma.f64 #s(literal 2 binary64) y z)
▶41.7%
(fma.f64 #s(literal 2 binary64) y x)
✓63.6%
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
✓37.8%
(+.f64 z x)
✓31.9%
(*.f64 x #s(literal 3 binary64))
✓36.9%
(*.f64 #s(literal 2 binary64) y)
✓33.0%
z
▶7.7%
x
Compiler

Compiled 74 to 54 computations (27% saved)

simplify4.0ms (0.1%)

Memory
9.1MiB live, 9.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) y)
✓cost-diff0
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
✓cost-diff0
(fma.f64 #s(literal 2 binary64) y x)
Rules
12×accelerator-lowering-fma.f32
12×accelerator-lowering-fma.f64
8×+-lowering-+.f64
8×*-lowering-*.f32
8×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
11223
01221
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
x
(+ (* 2 y) x)
2
y
x
(+ (* 3 x) (* 2 y))
3
x
(* 2 y)
2
y
Outputs
x
(+ (* 2 y) x)
(fma.f64 #s(literal 2 binary64) y x)
2
#s(literal 2 binary64)
y
x
(+ (* 3 x) (* 2 y))
(fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y))
3
#s(literal 3 binary64)
x
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)
y

localize25.0ms (0.3%)

Memory
10.0MiB live, 49.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) y x)
Samples
14.0ms240×0valid
1.0ms5×3valid
1.0ms8×1valid
0.0ms3×2valid
Compiler

Compiled 23 to 11 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44.6% of total)
ival-add: 3.0ms (44.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+ (* 2 y) x)>
#<alt (+ (* 3 x) (* 2 y))>
#<alt (* 2 y)>
Outputs
#<alt x>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* y (+ 2 (/ x y)))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 2)))>
#<alt (* 2 y)>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt (+ x (* 2 y))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt (* x (+ 1 (* 2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 1)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* x (+ 3 (* 2 (/ y x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* -1 (* x (- (* -2 (/ y x)) 3)))>
#<alt (* 3 x)>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (+ (* 2 y) (* 3 x))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 3 (/ x y))))>
#<alt (* y (+ 2 (* 3 (/ x y))))>
#<alt (* y (+ 2 (* 3 (/ x y))))>
#<alt (* 2 y)>
#<alt (* -1 (* y (- (* -3 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -3 (/ x y)) 2)))>
#<alt (* -1 (* y (- (* -3 (/ x y)) 2)))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

15 calls:

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

rewrite463.0ms (5.7%)

Memory
-14.3MiB live, 573.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 768×accelerator-lowering-fma.f32
6 768×accelerator-lowering-fma.f64
4 306×*-lowering-*.f32
4 306×*-lowering-*.f64
4 014×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
13415
228915
3304615
0826913
Stop Event
1×iter limit
1×node limit
Counts
3 → 257
Calls
Call 1
Inputs
(+ (* 2 y) x)
(+ (* 3 x) (* 2 y))
(* 2 y)
Outputs
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (/.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))) (/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))))) (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (fma.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))) (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))) (fma.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x))))))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 y (/.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (*.f64 y #s(literal 4 binary64)) (/.f64 y (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 2 binary64) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 y)) x)
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (fma.f64 #s(literal 2 binary64) y x)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (fma.f64 #s(literal 2 binary64) y x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))
(/.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 (-.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -4 binary64))) (-.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))))
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(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) (*.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal -3 binary64))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 y (-.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 y y) #s(literal -4 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)))) (fma.f64 y (fma.f64 y #s(literal 4 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64) (*.f64 #s(literal 512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (*.f64 y #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 y)))

simplify377.0ms (4.6%)

Memory
36.5MiB live, 388.9MiB allocated
Algorithm
1×egg-herbie
Rules
5 692×accelerator-lowering-fma.f32
5 692×accelerator-lowering-fma.f64
4 080×*-lowering-*.f32
4 080×*-lowering-*.f64
1 558×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039282
1110282
2244282
3636282
41536282
53184282
64468282
75071282
85318282
95472282
105577282
116959282
127446282
08211246
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* 2 y)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 3 x)
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* x (+ 3 (* 2 (/ y x))))
(* 3 x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(* 3 x)
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(+ (* 2 y) (* 3 x))
(* 2 y)
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* y (+ 2 (* 3 (/ x y))))
(* 2 y)
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
x
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ (* 2 y) (* 3 x))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(+ (* 2 y) (* 3 x))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(+ (* 2 y) (* 3 x))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* y (+ 2 (* 3 (/ x y))))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(fma.f64 x #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))

eval37.0ms (0.5%)

Memory
-8.7MiB live, 67.2MiB allocated
Compiler

Compiled 10 354 to 785 computations (92.4% saved)

prune43.0ms (0.5%)

Memory
22.3MiB live, 95.7MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New3170317
Fresh000
Picked033
Done088
Total31711328
Accuracy
100.0%
Counts
328 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.6%
(fma.f64 x #s(literal 3 binary64) z)
✓67.3%
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
✓67.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓68.3%
(fma.f64 #s(literal 2 binary64) y z)
✓41.7%
(fma.f64 #s(literal 2 binary64) y x)
✓63.6%
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
✓37.8%
(+.f64 z x)
✓31.9%
(*.f64 x #s(literal 3 binary64))
✓36.9%
(*.f64 #s(literal 2 binary64) y)
✓33.0%
z
✓7.7%
x
Compiler

Compiled 154 to 84 computations (45.5% saved)

regimes29.0ms (0.4%)

Memory
-37.7MiB live, 60.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 x y) z))))
Outputs
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
Calls

4 calls:

12.0ms
x
6.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
5.0ms
z
5.0ms
y
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 26 to 17 computations (34.6% saved)

regimes20.0ms (0.3%)

Memory
9.1MiB live, 47.1MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
Outputs
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 x #s(literal 3 binary64) z)
Calls

4 calls:

7.0ms
y
4.0ms
z
4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
4.0ms
x
Results
AccuracySegmentsBranch
86.6%3x
86.7%3y
88.0%3z
75.5%3(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes5.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
Outputs
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 x #s(literal 3 binary64) z)
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
88.0%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-19.9MiB live, 19.4MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 2 binary64) x (+.f64 x z))
Outputs
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 2 binary64) y z)
Calls

2 calls:

5.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
86.7%3y
74.4%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 #s(literal 2 binary64) y z)
Outputs
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y z)
(*.f64 x #s(literal 3 binary64))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
81.4%3x
68.3%1y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.2%)

Memory
-11.5MiB live, 26.4MiB allocated
Counts
6 → 5
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y x)
Outputs
(+.f64 z x)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y x)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
Calls

4 calls:

3.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
59.6%3y
64.6%5z
49.7%5(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
56.4%4x
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes5.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(+.f64 z x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(+.f64 z x)
Calls

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
58.8%3y
62.0%5z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
x
z
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
Outputs
(*.f64 #s(literal 2 binary64) y)
(+.f64 z x)
(*.f64 #s(literal 2 binary64) y)
Calls

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
58.8%3y
58.4%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory
-21.9MiB live, 20.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
x
z
(+.f64 z x)
Outputs
(+.f64 z x)
Calls

4 calls:

4.0ms
y
2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
37.8%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
37.8%1x
37.8%1z
37.8%1y
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
x
z
Outputs
z
Calls

4 calls:

2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
33.0%1z
33.0%1y
33.0%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
33.0%1x
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory
-23.1MiB live, 16.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

4 calls:

3.0ms
z
1.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms
y
Results
AccuracySegmentsBranch
7.7%1y
7.7%1x
7.7%1z
7.7%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch23.0ms (0.3%)

Memory
23.7MiB live, 62.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
9.455179046209196e-26
6.406806933931048e-24
10.0ms
-1.7756380113395064e+35
-2.468508974199246e+32
Samples
11.0ms223×0valid
2.0ms15×1valid
0.0ms2×2valid
Compiler

Compiled 287 to 224 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 6.0ms (94.6% of total)
adjust: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
-29.5MiB live, 50.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
9.455179046209196e-26
6.406806933931048e-24
11.0ms
-1.7756380113395064e+35
-2.468508974199246e+32
Samples
11.0ms227×0valid
1.0ms6×2valid
1.0ms7×1valid
Compiler

Compiled 287 to 209 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 7.0ms (96.2% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
14.1MiB live, 51.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.269258373008161e+87
8.850912381104372e+90
11.0ms
-6.907925333220251e+99
-6.191637261946938e+91
Samples
14.0ms258×0valid
1.0ms11×1valid
0.0ms3×2valid
Compiler

Compiled 289 to 218 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 8.0ms (90.2% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory
10.3MiB live, 47.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.886591539017796e+187
3.701156731274607e+187
13.0ms
-3.484003476768922e+153
-1.0426215262093598e+147
Samples
8.0ms186×0valid
3.0ms13×1valid
1.0ms7×2valid
0.0ms2×3valid
Compiler

Compiled 212 to 170 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 5.0ms (79.4% of total)
adjust: 1.0ms (15.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch57.0ms (0.7%)

Memory
2.1MiB live, 115.2MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.247110610554576e+54
2.4444930353302437e+63
16.0ms
6.406806933931048e-24
1.9971365781580836e-19
10.0ms
-1.7756380113395064e+35
-2.468508974199246e+32
13.0ms
-8.842630534990751e+122
-1.8873651253662595e+117
Samples
30.0ms513×0valid
3.0ms25×1valid
1.0ms6×2valid
Compiler

Compiled 509 to 404 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 12.0ms (86.2% of total)
adjust: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch63.0ms (0.8%)

Memory
10.3MiB live, 136.5MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.247110610554576e+54
2.4444930353302437e+63
11.0ms
6.406806933931048e-24
1.9971365781580836e-19
15.0ms
-1.7756380113395064e+35
-2.468508974199246e+32
14.0ms
-8.842630534990751e+122
-1.8873651253662595e+117
Samples
28.0ms511×0valid
10.0ms22×1valid
2.0ms11×2valid
Compiler

Compiled 493 to 404 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-add: 17.0ms (64.3% of total)
adjust: 9.0ms (34% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory
4.1MiB live, 42.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.4634234389516536e+79
7.785931121308158e+84
8.0ms
-7.372074020454948e+59
-6.240372897325113e+59
Samples
12.0ms182×0valid
1.0ms9×1valid
0.0ms1×2valid
Compiler

Compiled 185 to 146 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 4.0ms (82.6% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
-13.9MiB live, 25.5MiB allocated
Algorithm
1×egg-herbie
Rules
10×if-if-or-not_binary32
4×*-commutative_binary64
4×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069162
186162
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
(if (<=.f64 z #s(literal -135000000000000001299567467802132480 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 z #s(literal 8711228593176025/1361129467683753853853498429727072845824 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -6599999999999999525504374053797888 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 z #s(literal 8711228593176025/1361129467683753853853498429727072845824 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 2399999999999999814257785456321654076415915578010357663833178779755141509001980556607488 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -4099999999999999661353963269971395296669867047597684603261476350700817015564370295880327623251312282894343113572795820095985070315837664344907186176 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 27999999999999998946210046347946731704080638285773148220527783117504181901841304649572907704896034515176649496225305774020786269306846500151894221207388756673057063754990268738579508232192 binary64)) (fma.f64 #s(literal 2 binary64) y z) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 z #s(literal -49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -70999999999999995559380647776616448 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 z #s(literal 2637188343637273/42535295865117307932921825928971026432 binary64)) (fma.f64 #s(literal 2 binary64) y x) (if (<=.f64 z #s(literal 31999999999999998380388329506368603742836640352429122338684928 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 z x)))))
(if (<=.f64 z #s(literal -1949999999999999951599835360271914619912912547761700642356953119684478161943531790608413539156809286922127874862350336 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -580000000000000005903582872207360 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 z #s(literal 3530761863803683/20769187434139310514121985316880384 binary64)) (*.f64 #s(literal 2 binary64) y) (if (<=.f64 z #s(literal 51999999999999999987771697987743118239383446412859539456 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 z x)))))
(if (<=.f64 y #s(literal -700000000000000035933379343249807259788849980184143870296064 binary64)) (*.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) (+.f64 z x) (*.f64 #s(literal 2 binary64) y)))
(+.f64 z x)
z
x
Outputs
(fma.f64 #s(literal 2 binary64) (+.f64 x y) (+.f64 x z))
(if (<=.f64 z #s(literal -135000000000000001299567467802132480 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 z #s(literal 8711228593176025/1361129467683753853853498429727072845824 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -6599999999999999525504374053797888 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 z #s(literal 8711228593176025/1361129467683753853853498429727072845824 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 z #s(literal -6599999999999999525504374053797888 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 z #s(literal 8711228593176025/1361129467683753853853498429727072845824 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 y #s(literal -1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (if (<=.f64 y #s(literal 2399999999999999814257785456321654076415915578010357663833178779755141509001980556607488 binary64)) (fma.f64 x #s(literal 3 binary64) z) (fma.f64 #s(literal 2 binary64) y z)))
(if (<=.f64 x #s(literal -4099999999999999661353963269971395296669867047597684603261476350700817015564370295880327623251312282894343113572795820095985070315837664344907186176 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 27999999999999998946210046347946731704080638285773148220527783117504181901841304649572907704896034515176649496225305774020786269306846500151894221207388756673057063754990268738579508232192 binary64)) (fma.f64 #s(literal 2 binary64) y z) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 z #s(literal -49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -70999999999999995559380647776616448 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 z #s(literal 2637188343637273/42535295865117307932921825928971026432 binary64)) (fma.f64 #s(literal 2 binary64) y x) (if (<=.f64 z #s(literal 31999999999999998380388329506368603742836640352429122338684928 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 z x)))))
(if (<=.f64 z #s(literal -49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal -70999999999999995559380647776616448 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 z #s(literal 2637188343637273/42535295865117307932921825928971026432 binary64)) (fma.f64 #s(literal 2 binary64) y x) (if (<=.f64 z #s(literal 31999999999999998380388329506368603742836640352429122338684928 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 x z)))))
(if (<=.f64 z #s(literal -1949999999999999951599835360271914619912912547761700642356953119684478161943531790608413539156809286922127874862350336 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal -580000000000000005903582872207360 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 z #s(literal 3530761863803683/20769187434139310514121985316880384 binary64)) (*.f64 #s(literal 2 binary64) y) (if (<=.f64 z #s(literal 51999999999999999987771697987743118239383446412859539456 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 z x)))))
(if (<=.f64 z #s(literal -1949999999999999951599835360271914619912912547761700642356953119684478161943531790608413539156809286922127874862350336 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal -580000000000000005903582872207360 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 z #s(literal 3530761863803683/20769187434139310514121985316880384 binary64)) (*.f64 #s(literal 2 binary64) y) (if (<=.f64 z #s(literal 51999999999999999987771697987743118239383446412859539456 binary64)) (*.f64 x #s(literal 3 binary64)) (+.f64 x z)))))
(if (<=.f64 y #s(literal -700000000000000035933379343249807259788849980184143870296064 binary64)) (*.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) (+.f64 z x) (*.f64 #s(literal 2 binary64) y)))
(if (<=.f64 y #s(literal -700000000000000035933379343249807259788849980184143870296064 binary64)) (*.f64 #s(literal 2 binary64) y) (if (<=.f64 y #s(literal 18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) (+.f64 x z) (*.f64 #s(literal 2 binary64) y)))
(+.f64 z x)
(+.f64 x z)
z
x

soundness1.6s (19.2%)

Memory
-27.1MiB live, 755.8MiB allocated
Rules
13 330×accelerator-lowering-fma.f32
13 330×accelerator-lowering-fma.f64
12 052×accelerator-lowering-fma.f32
12 052×accelerator-lowering-fma.f64
10 710×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113764
1343762
2900762
32801762
46719762
08258658
0835
17629
287329
0812726
03222734
19362687
225902528
086192227
094564
1284564
2696564
32142564
44805564
57100564
08043510
01331
18729
286429
0853626
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 357 to 194 computations (45.7% saved)

preprocess164.0ms (2%)

Memory
-5.5MiB live, 141.4MiB allocated
Compiler

Compiled 384 to 150 computations (60.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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