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

Time bar (total: 8.9s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample754.0ms (8.5%)

Memory
34.2MiB live, 1 085.7MiB allocated
Samples
398.0ms7 680×0valid
37.0ms347×1valid
26.0ms172×2valid
15.0ms57×3valid
Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-add: 255.0ms (88.9% of total)
adjust: 23.0ms (8% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess341.0ms (3.8%)

Memory
7.3MiB live, 45.3MiB allocated
Algorithm
1×egg-herbie
Rules
2 046×unsub-neg
1 306×distribute-neg-in
1 088×associate-+r+
876×sub-neg
792×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

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

explain131.0ms (1.5%)

Memory
3.7MiB live, 214.8MiB 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
30.0ms468×0valid
3.0ms28×1valid
2.0ms12×2valid
1.0ms4×3valid
Compiler

Compiled 108 to 36 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 18.0ms (89.4% of total)
adjust: 2.0ms (9.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune5.0ms (0.1%)

Memory
-40.3MiB 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
16.5MiB live, 16.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize25.0ms (0.3%)

Memory
3.5MiB live, 41.7MiB 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
13.0ms234×0valid
2.0ms14×1valid
1.0ms6×2valid
0.0ms2×3valid
Compiler

Compiled 40 to 10 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 6.0ms (84.5% of total)
adjust: 1.0ms (14.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z)>
#<alt (+.f64 (+.f64 (+.f64 x y) y) x)>
#<alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)>
#<alt (+.f64 (+.f64 x y) y)>
#<alt (+.f64 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)

rewrite366.0ms (4.1%)

Memory
-21.2MiB live, 542.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 184×lower-fma.f64
5 184×lower-fma.f32
4 742×lower-*.f64
4 742×lower-*.f32
4 214×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify300.0ms (3.4%)

Memory
23.5MiB live, 382.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 710×lower-fma.f64
10 710×lower-fma.f32
2 766×lower-*.f64
2 766×lower-*.f32
1 564×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113764
1343762
2900762
32801762
46719762
08258658
Stop Event
1×iter limit
1×node limit
Counts
144 → 131
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)
(*.f64 #s(literal 2 binary64) y)
(* 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)
(*.f64 #s(literal 2 binary64) y)
(* -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))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ 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)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* x (+ 2 (* 2 (/ y x))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* x (- (* -2 (/ y x)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ (* 2 x) (* 2 y))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* y (+ 2 (* 2 (/ x y))))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(* -1 (* y (- (* -2 (/ x y)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 y x))
(+ 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)
(*.f64 #s(literal 2 binary64) y)
(* 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)
(*.f64 #s(literal 2 binary64) y)
(* -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)
(*.f64 #s(literal 2 binary64) y)
(+ 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)
(*.f64 #s(literal 2 binary64) y)
(* 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)
(*.f64 #s(literal 2 binary64) y)
(* -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)

eval125.0ms (1.4%)

Memory
-18.9MiB live, 178.1MiB allocated
Compiler

Compiled 26 115 to 2 456 computations (90.6% saved)

prune91.0ms (1%)

Memory
25.8MiB live, 228.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New7177724
Fresh000
Picked101
Done000
Total7187725
Accuracy
100.0%
Counts
725 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.1%
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
▶69.6%
(fma.f64 x #s(literal 3 binary64) z)
63.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
▶67.9%
(fma.f64 #s(literal 2 binary64) y z)
▶37.1%
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
▶33.7%
(*.f64 x #s(literal 3 binary64))
▶32.1%
(*.f64 #s(literal 2 binary64) y)
Compiler

Compiled 132 to 86 computations (34.8% saved)

simplify7.0ms (0.1%)

Memory
-30.5MiB live, 7.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) y)
✓cost-diff128
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓cost-diff0
(fma.f64 #s(literal 2 binary64) y z)
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 #s(literal 2 binary64) y)
✓cost-diff0
(fma.f64 x #s(literal 3 binary64) z)
Rules
12×lower-fma.f32
12×lower-+.f32
10×lower-+.f64
8×lower-fma.f64
8×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
01535
12035
02034
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x
Outputs
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 2 binary64) y z)
#s(literal 2 binary64)
y
z
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 #s(literal 2 binary64) y x)
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x

localize35.0ms (0.4%)

Memory
23.7MiB live, 65.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) y z)
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) y)
✓accuracy100.0%
(fma.f64 x #s(literal 3 binary64) z)
Samples
18.0ms230×0valid
2.0ms17×1valid
1.0ms6×3valid
0.0ms3×2valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 6.0ms (54.6% of total)
ival-mult: 3.0ms (27.3% of total)
adjust: 1.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (fma.f64 x #s(literal 3 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) y z)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) y) x)>
Outputs
#<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 (* 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 (* 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 (* 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 (* 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)))>
Calls

24 calls:

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

rewrite670.0ms (7.5%)

Memory
1.4MiB live, 558.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 018×lower-fma.f32
8 014×lower-fma.f64
5 408×lower-*.f32
5 404×lower-*.f64
2 466×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
01519
15219
239119
3410219
0822318
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 281
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) z)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y z)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
Outputs
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) z)
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 z (*.f64 x #s(literal 3 binary64)))))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 x (/.f64 (*.f64 x #s(literal 9 binary64)) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) z)
(fma.f64 #s(literal 3 binary64) x z)
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 z z))) (fma.f64 x #s(literal 3 binary64) z) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64))) (*.f64 z (*.f64 z z)))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 z (fma.f64 x #s(literal 3 binary64) z))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x z)
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 z (*.f64 z z))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 z z)) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 z (*.f64 z z)))) (fma.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 z z))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 z z)) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 z z))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64))) (*.f64 (fma.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (fma.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (-.f64 z (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64))) (*.f64 z (*.f64 z z)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x))) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 x (neg.f64 x)))) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 x (neg.f64 x)))) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (*.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) (+.f64 x (*.f64 y #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(*.f64 (fma.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 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))))
(*.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) y x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))))
(*.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))))))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x))) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x)))) (fma.f64 #s(literal 2 binary64) y x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) (+.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))) (fma.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) (+.f64 x (*.f64 y #s(literal -2 binary64))))))) (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 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 (fma.f64 #s(literal 2 binary64) y x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 (fma.f64 x (+.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 y (*.f64 y #s(literal 4 binary64)))) (-.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))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (-.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))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 4 binary64)) (*.f64 x x))))

simplify308.0ms (3.5%)

Memory
-27.5MiB live, 175.4MiB allocated
Algorithm
1×egg-herbie
Rules
5 984×lower-fma.f64
5 984×lower-fma.f32
3 696×lower-*.f64
3 696×lower-*.f32
1 520×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059378
1168378
2388378
31162378
42819378
54461378
65647378
75802378
85831378
95832378
106552378
08195324
Stop Event
1×iter limit
1×node limit
Counts
96 → 87
Calls
Call 1
Inputs
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)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 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 (* 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 (* 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)))
Outputs
z
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ z x)))
(fma.f64 #s(literal 3 binary64) x z)
(* x (+ 3 (/ z x)))
(fma.f64 #s(literal 3 binary64) x z)
(* x (+ 3 (/ z x)))
(fma.f64 #s(literal 3 binary64) x z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 3)))
(fma.f64 #s(literal 3 binary64) x z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
(+ z (* 3 x))
(fma.f64 #s(literal 3 binary64) x z)
z
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
(* z (+ 1 (* 3 (/ x z))))
(fma.f64 #s(literal 3 binary64) x z)
z
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* -1 (* z (- (* -3 (/ x z)) 1)))
(fma.f64 #s(literal 3 binary64) x z)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
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)
(*.f64 #s(literal 2 binary64) y)
(* 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)
(*.f64 #s(literal 2 binary64) y)
(* -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)
(*.f64 #s(literal 2 binary64) y)
(+ 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 (* 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)
(*.f64 #s(literal 2 binary64) y)
(* 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)
(*.f64 #s(literal 2 binary64) y)
(* -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)
(*.f64 #s(literal 2 binary64) y)
(+ 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)

eval60.0ms (0.7%)

Memory
15.2MiB live, 55.2MiB allocated
Compiler

Compiled 8 688 to 828 computations (90.5% saved)

prune68.0ms (0.8%)

Memory
14.6MiB live, 52.0MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3854389
Fresh112
Picked145
Done000
Total3879396
Accuracy
100.0%
Counts
396 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.3%
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
▶37.1%
(fma.f64 y #s(literal 2 binary64) x)
✓69.6%
(fma.f64 x #s(literal 3 binary64) z)
▶63.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓67.9%
(fma.f64 #s(literal 2 binary64) y z)
▶30.3%
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
▶69.5%
(*.f64 (fma.f64 x #s(literal 3 binary64) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
✓33.7%
(*.f64 x #s(literal 3 binary64))
✓32.1%
(*.f64 #s(literal 2 binary64) y)
Compiler

Compiled 182 to 112 computations (38.5% saved)

simplify608.0ms (6.8%)

Memory
-24.1MiB live, 415.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓cost-diff0
(*.f64 x #s(literal 9 binary64))
✓cost-diff256
(neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
✓cost-diff2944
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
✓cost-diff0
(*.f64 #s(literal -9 binary64) (*.f64 x x))
✓cost-diff0
(fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x)))
✓cost-diff128
(-.f64 z (*.f64 x #s(literal 3 binary64)))
✓cost-diff1728
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
✓cost-diff0
(+.f64 y x)
✓cost-diff0
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓cost-diff0
(fma.f64 y #s(literal 2 binary64) x)
✓cost-diff0
(fma.f64 x #s(literal 3 binary64) z)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓cost-diff320
(*.f64 (fma.f64 x #s(literal 3 binary64) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
✓cost-diff1920
(*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
Rules
15 196×lower-fma.f32
15 186×lower-fma.f64
3 052×lower-*.f32
3 040×lower-*.f64
2 168×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028180
051135
1102127
2179126
3435126
41668126
55035126
08176123
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
(*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
#s(literal 1 binary64)
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
#s(literal 2 binary64)
(+.f64 y x)
y
x
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
(fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x)))
z
(*.f64 #s(literal -9 binary64) (*.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
x
(-.f64 z (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(*.f64 z z)
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 x #s(literal 3 binary64) z)
x
#s(literal 3 binary64)
z
(*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
#s(literal 1 binary64)
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z))
#s(literal 1 binary64)
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 #s(literal 2 binary64) (+.f64 x y) x)
#s(literal 2 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 z z))
z
(*.f64 #s(literal -9 binary64) (*.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
x
(-.f64 z (*.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal -3 binary64) z)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 x #s(literal 3 binary64) z)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(neg.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) z)))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(*.f64 z (/.f64 z (fma.f64 x #s(literal -3 binary64) z)))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(neg.f64 (*.f64 z (/.f64 z (fma.f64 x #s(literal -3 binary64) z))))
(*.f64 z z)

localize166.0ms (1.9%)

Memory
18.6MiB live, 176.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓accuracy99.7%
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓accuracy99.6%
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
✓accuracy68.0%
(/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓accuracy99.9%
(-.f64 z (*.f64 x #s(literal 3 binary64)))
✓accuracy99.8%
(*.f64 #s(literal -9 binary64) (*.f64 x x))
✓accuracy96.5%
(fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x)))
✓accuracy49.5%
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
✓accuracy100.0%
(+.f64 y x)
✓accuracy99.8%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓accuracy100.0%
(fma.f64 y #s(literal 2 binary64) x)
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.9%
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓accuracy99.7%
(*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
Samples
94.0ms204×0valid
11.0ms15×3valid
11.0ms25×1valid
6.0ms12×2valid
Compiler

Compiled 182 to 33 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 39.0ms (39.3% of total)
ival-sub: 38.0ms (38.3% of total)
ival-div: 8.0ms (8.1% of total)
ival-add: 8.0ms (8.1% of total)
adjust: 4.0ms (4% of total)
ival-neg: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
6.8MiB live, 45.5MiB allocated
Counts
18 → 396
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))>
#<alt (*.f64 (fma.f64 x #s(literal 3 binary64) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))>
#<alt (fma.f64 x #s(literal 3 binary64) z)>
#<alt (fma.f64 y #s(literal 2 binary64) x)>
#<alt (fma.f64 #s(literal 2 binary64) (+.f64 y x) x)>
#<alt (+.f64 y x)>
#<alt (/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))>
#<alt (-.f64 z (*.f64 x #s(literal 3 binary64)))>
#<alt (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x)))>
#<alt (*.f64 #s(literal -9 binary64) (*.f64 x x))>
#<alt (fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))>
#<alt (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))>
#<alt (-.f64 (*.f64 x #s(literal 3 binary64)) z)>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))>
Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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 (/ -1 z)>
#<alt (- (* -3 (/ x (pow z 2))) (/ 1 z))>
#<alt (- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))>
#<alt (- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 1/9 (/ z x))) x)>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x))) x)>
#<alt (/ (- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2))))) x)>
#<alt (/ 1/3 x)>
#<alt (* -1 (/ (- (* -1/9 (/ z x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) x)) (* -1/9 z)) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) x)) (* 1/27 (pow z 2))) x)) (* -1/9 z)) x)) 1/3) x))>
#<alt (/ 1/3 x)>
#<alt (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x)))>
#<alt (+ (* z (+ (* 1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))>
#<alt (+ (* z (+ (* z (+ (* 1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x)))>
#<alt (/ -1 z)>
#<alt (/ (- (* -3 (/ x z)) 1) z)>
#<alt (/ (- (* -9 (/ (pow x 2) (pow z 2))) (+ 1 (* 3 (/ x z)))) z)>
#<alt (/ (- (* -27 (/ (pow x 3) (pow z 3))) (+ 1 (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (* 3 (/ x z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (pow x 2) z)) (* 3 x)) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 3) z)) (* -9 (pow x 2))) z)) (* 3 x)) z))) z))>
#<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 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 (+ 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)))>
#<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>
#<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>
#<alt (+ z (* -3 x))>
#<alt (+ z (* -3 x))>
#<alt (+ z (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (/ z x) 3))>
#<alt (* x (- (/ z x) 3))>
#<alt (* x (- (/ z x) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 3 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 3 (* -1 (/ z x)))))>
#<alt (* -9 (pow x 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (+ (* -9 (pow x 2)) (pow z 2))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt z>
#<alt (- (* 3 x) (* -1 z))>
#<alt (- (* 3 x) (* -1 z))>
#<alt (- (* 3 x) (* -1 z))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ z x)))>
#<alt (* x (+ 3 (+ (* -1/9 (/ (pow z 3) (pow x 3))) (+ (* 1/9 (/ (pow z 3) (pow x 3))) (/ z x)))))>
#<alt (* x (+ 3 (+ (* -1/9 (/ (pow z 3) (pow x 3))) (+ (* -1/27 (/ (pow z 4) (pow x 4))) (+ (* 1/27 (/ (pow z 4) (pow x 4))) (+ (* 1/9 (/ (pow z 3) (pow x 3))) (/ z x)))))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1/3 (/ (pow z 2) x)) (* 1/3 (/ (pow z 2) x))) (* -1 z)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/9 (/ (pow z 3) x)) (* 1/9 (/ (pow z 3) x))) (+ (* -1/3 (pow z 2)) (* 1/3 (pow z 2)))) 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 (+ (* -9 (/ (pow x 2) (pow z 2))) (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2)))))))>
#<alt (* z (+ 1 (+ (* -27 (/ (pow x 3) (pow z 3))) (+ (* -9 (/ (pow x 2) (pow z 2))) (+ (* 3 (/ x z)) (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))))))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -9 (pow x 2)) (* 9 (pow x 2))) z)) (* 3 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -9 (pow x 2)) (+ (* -1 (/ (+ (* -27 (pow x 3)) (* 27 (pow x 3))) z)) (* 9 (pow x 2)))) z)) (* 3 x)) z)) 1)))>
#<alt (* -1/3 (/ (pow z 2) x))>
#<alt (* (pow z 2) (- (* -1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (- (* z (- (* -1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (- (* z (- (* z (- (* -1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt z>
#<alt (* z (+ 1 (* 3 (/ x z))))>
#<alt (* z (+ 1 (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2))))))>
#<alt (* z (+ 1 (+ (* 3 (/ x z)) (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))))))>
#<alt z>
#<alt (* -1 (* z (- (* -3 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 3 x) (* 9 (/ (pow x 2) z))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -27 (/ (pow x 3) z)) (* -9 (pow x 2))) z)) (* 3 x)) z)) 1)))>
#<alt z>
#<alt (- (* 3 x) (* -1 z))>
#<alt (- (* x (+ 3 (* 9 (/ x z)))) (* -1 z))>
#<alt (- (* x (+ 3 (* x (+ (* 27 (/ x (pow z 2))) (* 9 (/ 1 z)))))) (* -1 z))>
#<alt (* -1/3 (/ (pow z 2) x))>
#<alt (/ (- (* -1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x)>
#<alt (/ (- (+ (* -1/9 (/ (pow z 3) x)) (* -1/27 (/ (pow z 4) (pow x 2)))) (* 1/3 (pow z 2))) x)>
#<alt (/ (- (+ (* -1/9 (/ (pow z 3) x)) (+ (* -1/27 (/ (pow z 4) (pow x 2))) (* -1/81 (/ (pow z 5) (pow x 3))))) (* 1/3 (pow z 2))) x)>
#<alt (* -1/3 (/ (pow z 2) x))>
#<alt (* -1 (/ (- (* 1/9 (/ (pow z 3) x)) (* -1/3 (pow z 2))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 4) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) x)) (* -1/27 (pow z 4))) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* -1 (/ x z))>
#<alt (* x (- (* -3 (/ x (pow z 2))) (/ 1 z)))>
#<alt (* x (- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))>
#<alt (* x (- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x)))>
#<alt (- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x)))>
#<alt (+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (+ 1/3 (* z (+ (* 1/27 (/ z (pow x 2))) (* 1/9 (/ 1 x)))))>
#<alt (+ 1/3 (* z (+ (* z (+ (* 1/81 (/ z (pow x 3))) (* 1/27 (/ 1 (pow x 2))))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (/ x z))>
#<alt (/ (+ (* -3 (/ (pow x 2) z)) (* -1 x)) z)>
#<alt (/ (- (+ (* -9 (/ (pow x 3) (pow z 2))) (* -1 x)) (* 3 (/ (pow x 2) z))) z)>
#<alt (/ (- (+ (* -27 (/ (pow x 4) (pow z 3))) (* -1 x)) (+ (* 3 (/ (pow x 2) z)) (* 9 (/ (pow x 3) (pow z 2))))) z)>
#<alt (* -1 (/ x z))>
#<alt (* -1 (/ (+ x (* 3 (/ (pow x 2) z))) z))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -9 (/ (pow x 3) z)) (* 3 (pow x 2))) z))) z))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 4) z)) (* -9 (pow x 3))) z)) (* 3 (pow x 2))) z))) z))>
#<alt (* -1 z)>
#<alt (- (* 3 x) z)>
#<alt (- (* 3 x) z)>
#<alt (- (* 3 x) z)>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* 3 x)>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<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 (* 1/3 (/ (pow z 2) x))>
#<alt (* (pow z 2) (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (+ (* z (+ (* 1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt (* (pow z 2) (+ (* z (+ (* z (+ (* 1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))>
#<alt (* -1 z)>
#<alt (* z (- (* -3 (/ x z)) 1))>
#<alt (* z (- (* -9 (/ (pow x 2) (pow z 2))) (+ 1 (* 3 (/ x z)))))>
#<alt (* z (- (* -27 (/ (pow x 3) (pow z 3))) (+ 1 (+ (* 3 (/ x z)) (* 9 (/ (pow x 2) (pow z 2)))))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* 3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (* -9 (/ (pow x 2) z)) (* 3 x)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 3) z)) (* -9 (pow x 2))) z)) (* 3 x)) z)))))>
#<alt (* -1 z)>
#<alt (+ (* -3 x) (* -1 z))>
#<alt (+ (* -1 z) (* x (- (* -9 (/ x z)) 3)))>
#<alt (+ (* -1 z) (* x (- (* x (- (* -27 (/ x (pow z 2))) (* 9 (/ 1 z)))) 3)))>
#<alt (* 1/3 (/ (pow z 2) x))>
#<alt (/ (+ (* 1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x)>
#<alt (/ (- (+ (* 1/27 (/ (pow z 4) (pow x 2))) (* 1/3 (pow z 2))) (* -1/9 (/ (pow z 3) x))) x)>
#<alt (/ (- (+ (* 1/81 (/ (pow z 5) (pow x 3))) (* 1/3 (pow z 2))) (+ (* -1/9 (/ (pow z 3) x)) (* -1/27 (/ (pow z 4) (pow x 2))))) x)>
#<alt (* 1/3 (/ (pow z 2) x))>
#<alt (* -1 (/ (+ (* -1/3 (pow z 2)) (* -1/9 (/ (pow z 3) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/27 (/ (pow z 4) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (pow z 4)) (* -1/81 (/ (pow z 5) x))) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))>
Calls

99 calls:

TimeVariablePointExpression
4.0ms
z
@0
(+ (* (* x 9) (/ x (- (* x 3) z))) (neg (/ (* z z) (- (* x 3) z))))
3.0ms
z
@0
(/ (+ (* z z) (* -9 (* x x))) (- z (* x 3)))
2.0ms
x
@0
(+ (* (* x 9) (/ x (- (* x 3) z))) (neg (/ (* z z) (- (* x 3) z))))
1.0ms
x
@-inf
(+ (* 2 (+ y x)) x)
1.0ms
z
@inf
(/ (+ (* z z) (* -9 (* x x))) (- z (* x 3)))

rewrite791.0ms (8.9%)

Memory
8.4MiB live, 960.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 560×lower-fma.f32
5 550×lower-fma.f64
5 238×lower-/.f32
5 230×lower-/.f64
4 588×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028145
051108
1203102
21608102
08598100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 849
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(*.f64 (fma.f64 x #s(literal 3 binary64) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 y #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(+.f64 y x)
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
(-.f64 z (*.f64 x #s(literal 3 binary64)))
(fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(*.f64 x #s(literal 9 binary64))
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))
Outputs
#s(literal 1 binary64)
(+.f64 (*.f64 x #s(literal 3 binary64)) z)
(+.f64 z (*.f64 x #s(literal 3 binary64)))
(+.f64 (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) z) (fma.f64 x #s(literal -3 binary64) z)) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (neg.f64 (*.f64 z z))) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 9 binary64)) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) #s(literal 0 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z))))) (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (neg.f64 (*.f64 z z))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 z z)) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(-.f64 (/.f64 (*.f64 z z) (fma.f64 x #s(literal -3 binary64) z)) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -3 binary64) z)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (/.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 z z)))) (/.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))))))
(-.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (-.f64 (neg.f64 (*.f64 z z)) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (-.f64 (neg.f64 (*.f64 z z)) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 x (/.f64 (*.f64 x #s(literal 9 binary64)) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (*.f64 x #s(literal 9 binary64))) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 #s(literal 3 binary64) x z)
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 z (neg.f64 (/.f64 z (-.f64 (*.f64 x #s(literal 3 binary64)) z))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(fma.f64 z (/.f64 z (fma.f64 x #s(literal -3 binary64) (neg.f64 (neg.f64 z)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
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simplify533.0ms (6%)

Memory
-8.6MiB live, 668.6MiB allocated
Algorithm
1×egg-herbie
Rules
13 278×lower-fma.f64
13 278×lower-fma.f32
4 030×lower-*.f64
4 030×lower-*.f32
3 806×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05153248
116003180
246863078
084332837
Stop Event
1×iter limit
1×node limit
Counts
396 → 369
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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)))
(/ -1 z)
(- (* -3 (/ x (pow z 2))) (/ 1 z))
(- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))
(- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z))
(/ 1/3 x)
(/ (+ 1/3 (* 1/9 (/ z x))) x)
(/ (- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x))) x)
(/ (- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2))))) x)
(/ 1/3 x)
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Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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z
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1/3
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(* 1/3 (/ (pow z 2) x))
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(* (pow z 2) (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x))))
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(* (pow z 2) (+ (* z (+ (* 1/27 (/ z (pow x 3))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))
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(* (pow z 2) (+ (* z (+ (* z (+ (* 1/81 (/ z (pow x 4))) (* 1/27 (/ 1 (pow x 3))))) (* 1/9 (/ 1 (pow x 2))))) (* 1/3 (/ 1 x))))
(*.f64 (*.f64 z z) (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/81 binary64) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) x)))
(* -1 z)
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(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 z z) x))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (pow z 4)) (* -1/81 (/ (pow z 5) x))) x)) (* 1/9 (pow z 3))) x)) (* -1/3 (pow z 2))) x))
(/.f64 (fma.f64 z (*.f64 z #s(literal -1/3 binary64)) (/.f64 (-.f64 (*.f64 z (*.f64 (*.f64 z z) #s(literal 1/9 binary64))) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/27 binary64) (*.f64 #s(literal -1/81 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) x))) x)) (neg.f64 x))) (neg.f64 x))

eval636.0ms (7.2%)

Memory
-52.7MiB live, 732.7MiB allocated
Compiler

Compiled 96 128 to 4 186 computations (95.6% saved)

prune273.0ms (3.1%)

Memory
-36.7MiB live, 612.3MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2 59622 598
Fresh000
Picked325
Done044
Total2 59982 607
Accuracy
100.0%
Counts
2 607 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.2%
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
✓37.1%
(fma.f64 y #s(literal 2 binary64) x)
✓69.6%
(fma.f64 x #s(literal 3 binary64) z)
✓63.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓67.9%
(fma.f64 #s(literal 2 binary64) y z)
▶51.1%
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
✓33.7%
(*.f64 x #s(literal 3 binary64))
✓32.1%
(*.f64 #s(literal 2 binary64) y)
Compiler

Compiled 70 to 51 computations (27.1% saved)

simplify361.0ms (4.1%)

Memory
17.8MiB live, 348.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓cost-diff0
(*.f64 x #s(literal 9 binary64))
✓cost-diff128
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
✓cost-diff256
(neg.f64 (neg.f64 z))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
✓cost-diff704
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
Rules
4 912×lower-fma.f32
4 908×lower-fma.f64
3 888×lower-*.f32
3 882×lower-*.f64
1 680×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
02858
15758
211158
318257
429757
558357
6156657
7335957
8522957
9638557
10691657
11706957
12715957
13747357
14782357
15784057
16784657
17785457
18785657
19785657
0820055
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
y
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 3 binary64)
(/.f64 x y)
x
#s(literal 2 binary64)
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
z
(neg.f64 (neg.f64 z))
(neg.f64 z)
Outputs
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x))
y
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
#s(literal 3 binary64)
(/.f64 x y)
x
#s(literal 2 binary64)
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(fma.f64 #s(literal -9 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal -3 binary64) z))) z)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(/.f64 x (fma.f64 #s(literal 3 binary64) x (neg.f64 z)))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(fma.f64 #s(literal 3 binary64) x (neg.f64 z))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
z
(neg.f64 (neg.f64 z))
z
(neg.f64 z)

localize116.0ms (1.3%)

Memory
-11.7MiB live, 105.4MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 z)
✓accuracy99.9%
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
✓accuracy99.7%
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
✓accuracy99.7%
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.9%
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
✓accuracy88.3%
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
Samples
76.0ms196×0valid
7.0ms15×5exit
5.0ms18×2valid
4.0ms17×1valid
4.0ms9×3valid
0.0ms1×4valid
Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-div: 61.0ms (74% of total)
ival-mult: 10.0ms (12.1% of total)
adjust: 4.0ms (4.9% of total)
ival-add: 3.0ms (3.6% of total)
ival-neg: 2.0ms (2.4% of total)
ival-sub: 2.0ms (2.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
9 → 180
Calls
Call 1
Inputs
#<alt (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))>
#<alt (/.f64 x y)>
#<alt (neg.f64 (neg.f64 z))>
#<alt (fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))>
#<alt (-.f64 (*.f64 x #s(literal 3 binary64)) z)>
#<alt (neg.f64 z)>
Outputs
#<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) (* 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 2>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (* 3 (/ x y))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))>
#<alt (* 3 (/ x y))>
#<alt (* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* 3 (/ x y))>
#<alt (/ (+ (* 2 y) (* 3 x)) y)>
#<alt (/ (+ (* 2 y) (* 3 x)) y)>
#<alt (/ (+ (* 2 y) (* 3 x)) y)>
#<alt 2>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (+ 2 (* 3 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (+ z (* -9 (/ (pow x 2) z)))>
#<alt (+ z (* (pow x 2) (- (* -27 (/ x (pow z 2))) (* 9 (/ 1 z)))))>
#<alt (+ z (* (pow x 2) (- (* x (- (* -81 (/ x (pow z 3))) (* 27 (/ 1 (pow z 2))))) (* 9 (/ 1 z)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ z x))))>
#<alt (* x (+ 3 (+ (* 1/3 (/ (pow z 2) (pow x 2))) (* 2 (/ z x)))))>
#<alt (* x (+ 3 (+ (* 1/9 (/ (pow z 3) (pow x 3))) (+ (* 1/3 (/ (pow z 2) (pow x 2))) (* 2 (/ z x))))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* -1 (/ (- z (* -1 z)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ z (* 1/3 (/ (pow z 2) x))) (* -1 z)) x)) 3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x))) (* -1 z)) x)) 3)))>
#<alt (* 3 x)>
#<alt (+ (* 2 z) (* 3 x))>
#<alt (+ (* 3 x) (* z (+ 2 (* 1/3 (/ z x)))))>
#<alt (+ (* 3 x) (* z (+ 2 (* z (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x)))))))>
#<alt z>
#<alt (* z (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))>
#<alt (* z (+ 1 (+ (* -27 (/ (pow x 3) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))))>
#<alt (* z (+ 1 (+ (* -81 (/ (pow x 4) (pow z 4))) (+ (* -27 (/ (pow x 3) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2)))))))>
#<alt z>
#<alt (* -1 (* z (- (* 9 (/ (pow x 2) (pow z 2))) 1)))>
#<alt (* -1 (* z (- (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ (* -81 (/ (pow x 4) z)) (* -27 (pow x 3))) (pow z 3))) (* 9 (/ (pow x 2) (pow z 2)))) 1)))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* -1 (/ x z))>
#<alt (* x (- (* -3 (/ x (pow z 2))) (/ 1 z)))>
#<alt (* x (- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))>
#<alt (* x (- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x)))>
#<alt (- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x)))>
#<alt (+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/9 (/ z x)))>
#<alt (+ 1/3 (* z (+ (* 1/27 (/ z (pow x 2))) (* 1/9 (/ 1 x)))))>
#<alt (+ 1/3 (* z (+ (* z (+ (* 1/81 (/ z (pow x 3))) (* 1/27 (/ 1 (pow x 2))))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (/ x z))>
#<alt (/ (+ (* -3 (/ (pow x 2) z)) (* -1 x)) z)>
#<alt (/ (- (+ (* -9 (/ (pow x 3) (pow z 2))) (* -1 x)) (* 3 (/ (pow x 2) z))) z)>
#<alt (/ (- (+ (* -27 (/ (pow x 4) (pow z 3))) (* -1 x)) (+ (* 3 (/ (pow x 2) z)) (* 9 (/ (pow x 3) (pow z 2))))) z)>
#<alt (* -1 (/ x z))>
#<alt (* -1 (/ (+ x (* 3 (/ (pow x 2) z))) z))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -9 (/ (pow x 3) z)) (* 3 (pow x 2))) z))) z))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 4) z)) (* -9 (pow x 3))) z)) (* 3 (pow x 2))) z))) z))>
#<alt (* -1 z)>
#<alt (- (* 3 x) z)>
#<alt (- (* 3 x) z)>
#<alt (- (* 3 x) z)>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* x (+ 3 (* -1 (/ z x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* -1 (* x (- (/ z x) 3)))>
#<alt (* 3 x)>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (+ (* -1 z) (* 3 x))>
#<alt (* -1 z)>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* z (- (* 3 (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -3 (/ x z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
Calls

45 calls:

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

rewrite342.0ms (3.9%)

Memory
11.5MiB live, 602.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 244×lower-fma.f32
9 240×lower-fma.f64
5 930×lower-*.f32
5 924×lower-*.f64
3 120×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651
02847
111247
275447
0892546
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 404
Calls
Call 1
Inputs
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
(neg.f64 (neg.f64 z))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(*.f64 x #s(literal 9 binary64))
(/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z))
(-.f64 (*.f64 x #s(literal 3 binary64)) z)
(neg.f64 z)
Outputs
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y))))
(+.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 y y)) (*.f64 y y)) (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 y #s(literal 2 binary64) (*.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y))))
(fma.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 x (*.f64 (/.f64 #s(literal 3 binary64) y) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (*.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) y (*.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y))) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (/.f64 x y)) #s(literal 3 binary64) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 3 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y)) x (*.f64 y #s(literal 2 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 y y)) (*.f64 y y) (*.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y)))))) (fma.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64))) (*.f64 (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 4 binary64)) (*.f64 (/.f64 x y) #s(literal -6 binary64))) (*.f64 y (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64)) (*.f64 y (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 4 binary64)) (*.f64 (/.f64 x y) #s(literal -6 binary64))) (*.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -4 binary64)) y)))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)) (*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 y y)) (*.f64 y y) (*.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) (/.f64 x y)))))))
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z)) x)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))) x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z))) (*.f64 (fma.f64 #s(literal 3 binary64) x z) x))
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z)))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
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(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z))) (fma.f64 #s(literal 3 binary64) x z))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x z))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)))
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z))))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z)))) (fma.f64 #s(literal 3 binary64) x z))
(+.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) x))
(+.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 z))
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(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))
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(fma.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))
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(fma.f64 (*.f64 z (neg.f64 z)) (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 3 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) z)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 z (neg.f64 z))) (fma.f64 #s(literal 3 binary64) x z))
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(/.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z)) (fma.f64 x #s(literal -3 binary64) (neg.f64 z)))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (*.f64 (fma.f64 #s(literal 3 binary64) x z) (*.f64 z z))) (*.f64 (fma.f64 #s(literal 3 binary64) x z) (fma.f64 #s(literal 3 binary64) x z)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 x x) (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 x (*.f64 x #s(literal 9 binary64)))))) (fma.f64 #s(literal 3 binary64) x z)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 z z)) (fma.f64 #s(literal 3 binary64) x z)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 z (*.f64 z z)))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) x) (neg.f64 (*.f64 z (fma.f64 #s(literal 3 binary64) x z))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z))) (fma.f64 #s(literal 3 binary64) x z))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z))) (neg.f64 (fma.f64 x #s(literal -3 binary64) (neg.f64 z))))
(/.f64 (fma.f64 z (*.f64 z (neg.f64 z)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 z z (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (-.f64 (neg.f64 z) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))))) (+.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z)))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 3 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal 3 binary64) x z))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z)) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64))))))
(*.f64 (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 3 binary64) x z) (*.f64 x (*.f64 x #s(literal 9 binary64)))))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) x) z))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) z))
(*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x z)))
(*.f64 (fma.f64 #s(literal 3 binary64) x z) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) z) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x z))))
(*.f64 (+.f64 (neg.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -9 binary64) x) (neg.f64 (*.f64 z (fma.f64 #s(literal 3 binary64) x z))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) (neg.f64 z))))
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z)
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(neg.f64 z)
(/.f64 (*.f64 z z) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 z (*.f64 z z))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64))))
(/.f64 (*.f64 z (*.f64 z z)) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 z (neg.f64 z)) z)
(*.f64 z #s(literal -1 binary64))
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (*.f64 z (neg.f64 z)) (/.f64 #s(literal 1 binary64) z))

simplify502.0ms (5.6%)

Memory
-7.1MiB live, 827.2MiB allocated
Algorithm
1×egg-herbie
Rules
16 234×lower-fma.f64
16 234×lower-fma.f32
7 112×lower-*.f64
7 112×lower-*.f32
2 352×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811329
18461300
222781262
084661159
Stop Event
1×iter limit
1×node limit
Counts
180 → 165
Calls
Call 1
Inputs
(* 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) (* 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)))
2
(+ 2 (* 3 (/ x y)))
(+ 2 (* 3 (/ x y)))
(+ 2 (* 3 (/ x y)))
(* 3 (/ x y))
(* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))
(* 3 (/ x y))
(* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))
(* 3 (/ x y))
(/ (+ (* 2 y) (* 3 x)) y)
(/ (+ (* 2 y) (* 3 x)) y)
(/ (+ (* 2 y) (* 3 x)) y)
2
(+ 2 (* 3 (/ x y)))
(+ 2 (* 3 (/ x y)))
(+ 2 (* 3 (/ x y)))
2
(+ 2 (* 3 (/ x y)))
(+ 2 (* 3 (/ x y)))
(+ 2 (* 3 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
z
z
z
z
z
z
z
z
z
z
z
z
z
(+ z (* -9 (/ (pow x 2) z)))
(+ z (* (pow x 2) (- (* -27 (/ x (pow z 2))) (* 9 (/ 1 z)))))
(+ z (* (pow x 2) (- (* x (- (* -81 (/ x (pow z 3))) (* 27 (/ 1 (pow z 2))))) (* 9 (/ 1 z)))))
(* 3 x)
(* x (+ 3 (* 2 (/ z x))))
(* x (+ 3 (+ (* 1/3 (/ (pow z 2) (pow x 2))) (* 2 (/ z x)))))
(* x (+ 3 (+ (* 1/9 (/ (pow z 3) (pow x 3))) (+ (* 1/3 (/ (pow z 2) (pow x 2))) (* 2 (/ z x))))))
(* 3 x)
(* -1 (* x (- (* -1 (/ (- z (* -1 z)) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (+ z (* 1/3 (/ (pow z 2) x))) (* -1 z)) x)) 3)))
(* -1 (* x (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x))) (* -1 z)) x)) 3)))
(* 3 x)
(+ (* 2 z) (* 3 x))
(+ (* 3 x) (* z (+ 2 (* 1/3 (/ z x)))))
(+ (* 3 x) (* z (+ 2 (* z (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x)))))))
z
(* z (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(* z (+ 1 (+ (* -27 (/ (pow x 3) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))))
(* z (+ 1 (+ (* -81 (/ (pow x 4) (pow z 4))) (+ (* -27 (/ (pow x 3) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2)))))))
z
(* -1 (* z (- (* 9 (/ (pow x 2) (pow z 2))) 1)))
(* -1 (* z (- (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ (* -81 (/ (pow x 4) z)) (* -27 (pow x 3))) (pow z 3))) (* 9 (/ (pow x 2) (pow z 2)))) 1)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -1 (/ x z))
(* x (- (* -3 (/ x (pow z 2))) (/ 1 z)))
(* x (- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))
(* x (- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))
1/3
(+ 1/3 (* 1/9 (/ z x)))
(- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x)))
(- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2)))))
1/3
(+ 1/3 (* 1/9 (/ z x)))
(+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x)))
(+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x)))
1/3
(+ 1/3 (* 1/9 (/ z x)))
(+ 1/3 (* z (+ (* 1/27 (/ z (pow x 2))) (* 1/9 (/ 1 x)))))
(+ 1/3 (* z (+ (* z (+ (* 1/81 (/ z (pow x 3))) (* 1/27 (/ 1 (pow x 2))))) (* 1/9 (/ 1 x)))))
(* -1 (/ x z))
(/ (+ (* -3 (/ (pow x 2) z)) (* -1 x)) z)
(/ (- (+ (* -9 (/ (pow x 3) (pow z 2))) (* -1 x)) (* 3 (/ (pow x 2) z))) z)
(/ (- (+ (* -27 (/ (pow x 4) (pow z 3))) (* -1 x)) (+ (* 3 (/ (pow x 2) z)) (* 9 (/ (pow x 3) (pow z 2))))) z)
(* -1 (/ x z))
(* -1 (/ (+ x (* 3 (/ (pow x 2) z))) z))
(* -1 (/ (+ x (* -1 (/ (- (* -9 (/ (pow x 3) z)) (* 3 (pow x 2))) z))) z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 4) z)) (* -9 (pow x 3))) z)) (* 3 (pow x 2))) z))) z))
(* -1 z)
(- (* 3 x) z)
(- (* 3 x) z)
(- (* 3 x) z)
(* 3 x)
(* x (+ 3 (* -1 (/ z x))))
(* x (+ 3 (* -1 (/ z x))))
(* x (+ 3 (* -1 (/ z x))))
(* 3 x)
(* -1 (* x (- (/ z x) 3)))
(* -1 (* x (- (/ z x) 3)))
(* -1 (* x (- (/ z x) 3)))
(* 3 x)
(+ (* -1 z) (* 3 x))
(+ (* -1 z) (* 3 x))
(+ (* -1 z) (* 3 x))
(* -1 z)
(* z (- (* 3 (/ x z)) 1))
(* z (- (* 3 (/ x z)) 1))
(* z (- (* 3 (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
Outputs
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 3 (/ x y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(* y (+ 2 (* 3 (/ x y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(* y (+ 2 (* 3 (/ x y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -3 (/ x y)) 2)))
(neg.f64 (*.f64 y (fma.f64 x (/.f64 #s(literal -3 binary64) y) #s(literal -2 binary64))))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(neg.f64 (*.f64 y (fma.f64 x (/.f64 #s(literal -3 binary64) y) #s(literal -2 binary64))))
(* -1 (* y (- (* -3 (/ x y)) 2)))
(neg.f64 (*.f64 y (fma.f64 x (/.f64 #s(literal -3 binary64) y) #s(literal -2 binary64))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(+ (* 2 y) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* x (+ 3 (* 2 (/ y x))))
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -2 (/ y x)) 3)))
(neg.f64 (*.f64 x (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal -3 binary64))))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(neg.f64 (*.f64 x (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal -3 binary64))))
(* -1 (* x (- (* -2 (/ y x)) 3)))
(neg.f64 (*.f64 x (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal -3 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 3 (/ x y))
(/.f64 (*.f64 #s(literal 3 binary64) x) y)
(* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 3 (/ 1 y))))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 3 (/ x y))
(/.f64 (*.f64 #s(literal 3 binary64) x) y)
(* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 3 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 3 (/ x y))
(/.f64 (*.f64 #s(literal 3 binary64) x) y)
(/ (+ (* 2 y) (* 3 x)) y)
(/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 3 x)) y)
(/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 3 x)) y)
(/.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) y)
2
#s(literal 2 binary64)
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 3 (/ x y)))
(fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
z
z
z
z
z
z
z
z
z
z
z
z
z
(+ z (* -9 (/ (pow x 2) z)))
(fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 x z)) z)
(+ z (* (pow x 2) (- (* -27 (/ x (pow z 2))) (* 9 (/ 1 z)))))
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal -27 binary64) (*.f64 z z)) (/.f64 #s(literal -9 binary64) z)) z)
(+ z (* (pow x 2) (- (* x (- (* -81 (/ x (pow z 3))) (* 27 (/ 1 (pow z 2))))) (* 9 (/ 1 z)))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (/.f64 #s(literal -81 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal -27 binary64) (*.f64 z z))) (/.f64 #s(literal -9 binary64) z)) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 (/ z x))))
(fma.f64 #s(literal 3 binary64) x (+.f64 z z))
(* x (+ 3 (+ (* 1/3 (/ (pow z 2) (pow x 2))) (* 2 (/ z x)))))
(fma.f64 x (fma.f64 z (*.f64 z (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 3 binary64)) (+.f64 z z))
(* x (+ 3 (+ (* 1/9 (/ (pow z 3) (pow x 3))) (+ (* 1/3 (/ (pow z 2) (pow x 2))) (* 2 (/ z x))))))
(fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 z (*.f64 z (/.f64 z (*.f64 x (*.f64 x x))))) (fma.f64 z (*.f64 z (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 z z))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* -1 (/ (- z (* -1 z)) x)) 3)))
(fma.f64 #s(literal 3 binary64) x (+.f64 z z))
(* -1 (* x (- (* -1 (/ (- (+ z (* 1/3 (/ (pow z 2) x))) (* -1 z)) x)) 3)))
(neg.f64 (*.f64 x (fma.f64 (fma.f64 z (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (/.f64 z (neg.f64 x)) #s(literal -3 binary64))))
(* -1 (* x (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1/9 (/ (pow z 3) x)) (* 1/3 (pow z 2))) x))) (* -1 z)) x)) 3)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 z (*.f64 z #s(literal 1/3 binary64)) (/.f64 (*.f64 z (*.f64 z (*.f64 z #s(literal 1/9 binary64)))) x)) x) (+.f64 z z)) x)) (neg.f64 x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ (* 2 z) (* 3 x))
(fma.f64 #s(literal 3 binary64) x (+.f64 z z))
(+ (* 3 x) (* z (+ 2 (* 1/3 (/ z x)))))
(fma.f64 #s(literal 3 binary64) x (*.f64 z (fma.f64 z (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))
(+ (* 3 x) (* z (+ 2 (* z (+ (* 1/9 (/ z (pow x 2))) (* 1/3 (/ 1 x)))))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x))
z
(* z (+ 1 (* -9 (/ (pow x 2) (pow z 2)))))
(fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 z (*.f64 z z)) z)
(* z (+ 1 (+ (* -27 (/ (pow x 3) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2))))))
(fma.f64 z (fma.f64 x (*.f64 (/.f64 x (*.f64 z z)) #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z)))) z)
(* z (+ 1 (+ (* -81 (/ (pow x 4) (pow z 4))) (+ (* -27 (/ (pow x 3) (pow z 3))) (* -9 (/ (pow x 2) (pow z 2)))))))
(*.f64 z (fma.f64 #s(literal -81 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x (*.f64 (/.f64 x (*.f64 z z)) #s(literal -9 binary64)) (fma.f64 x (*.f64 (*.f64 x (/.f64 x (*.f64 z (*.f64 z z)))) #s(literal -27 binary64)) #s(literal 1 binary64)))))
z
(* -1 (* z (- (* 9 (/ (pow x 2) (pow z 2))) 1)))
(fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 z (*.f64 z z)) z)
(* -1 (* z (- (+ (* 9 (/ (pow x 2) (pow z 2))) (* 27 (/ (pow x 3) (pow z 3)))) 1)))
(fma.f64 z (fma.f64 x (*.f64 (/.f64 x (*.f64 z z)) #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))) (*.f64 z (*.f64 z z)))) z)
(* -1 (* z (- (+ (* -1 (/ (+ (* -81 (/ (pow x 4) z)) (* -27 (pow x 3))) (pow z 3))) (* 9 (/ (pow x 2) (pow z 2)))) 1)))
(fma.f64 (neg.f64 z) (fma.f64 x (*.f64 (/.f64 x (*.f64 z z)) #s(literal 9 binary64)) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) (*.f64 #s(literal 81 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) z))) (*.f64 z (*.f64 z z)))) z)
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* x (- (* -3 (/ x (pow z 2))) (/ 1 z)))
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x x) z) (neg.f64 x)) z)
(* x (- (* x (- (* -9 (/ x (pow z 3))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))
(*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -9 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal -3 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)))
(* x (- (* x (- (* x (- (* -27 (/ x (pow z 4))) (* 9 (/ 1 (pow z 3))))) (* 3 (/ 1 (pow z 2))))) (/ 1 z)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -27 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -9 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal -3 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (/ z x)))
(fma.f64 z (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))
(- (+ 1/3 (* 1/27 (/ (pow z 2) (pow x 2)))) (* -1/9 (/ z x)))
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1/3 binary64))
(- (+ 1/3 (* 1/81 (/ (pow z 3) (pow x 3)))) (+ (* -1/9 (/ z x)) (* -1/27 (/ (pow z 2) (pow x 2)))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (/ z x)))
(fma.f64 z (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))
(+ 1/3 (* -1 (/ (- (* -1/27 (/ (pow z 2) x)) (* 1/9 z)) x)))
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1/3 binary64))
(+ 1/3 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 3) x)) (* -1/27 (pow z 2))) x)) (* 1/9 z)) x)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 z #s(literal -1/9 binary64) (/.f64 (fma.f64 z (*.f64 z #s(literal -1/27 binary64)) (*.f64 #s(literal -1/81 binary64) (/.f64 (*.f64 z (*.f64 z z)) x))) x)) x))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (/ z x)))
(fma.f64 z (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))
(+ 1/3 (* z (+ (* 1/27 (/ z (pow x 2))) (* 1/9 (/ 1 x)))))
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1/3 binary64))
(+ 1/3 (* z (+ (* z (+ (* 1/81 (/ z (pow x 3))) (* 1/27 (/ 1 (pow x 2))))) (* 1/9 (/ 1 x)))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1/3 binary64))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(/ (+ (* -3 (/ (pow x 2) z)) (* -1 x)) z)
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x x) z) (neg.f64 x)) z)
(/ (- (+ (* -9 (/ (pow x 3) (pow z 2))) (* -1 x)) (* 3 (/ (pow x 2) z))) z)
(/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 x x) z)) (*.f64 x (*.f64 x #s(literal -3 binary64)))) z) x) z)
(/ (- (+ (* -27 (/ (pow x 4) (pow z 3))) (* -1 x)) (+ (* 3 (/ (pow x 2) z)) (* 9 (/ (pow x 3) (pow z 2))))) z)
(/.f64 (fma.f64 #s(literal -27 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (*.f64 z z))) (-.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 x x) z)) (*.f64 x (*.f64 x #s(literal -3 binary64)))) z) x)) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (/ (+ x (* 3 (/ (pow x 2) z))) z))
(/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x x) z) (neg.f64 x)) z)
(* -1 (/ (+ x (* -1 (/ (- (* -9 (/ (pow x 3) z)) (* 3 (pow x 2))) z))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 x x) z)) (*.f64 x (*.f64 x #s(literal -3 binary64)))) z) x) z)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow x 4) z)) (* -9 (pow x 3))) z)) (* 3 (pow x 2))) z))) z))
(/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -3 binary64)) (/.f64 (fma.f64 x (*.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 4 binary64))) z)) z)) z) x) z)
(* -1 z)
(neg.f64 z)
(- (* 3 x) z)
(-.f64 (*.f64 #s(literal 3 binary64) x) z)
(- (* 3 x) z)
(-.f64 (*.f64 #s(literal 3 binary64) x) z)
(- (* 3 x) z)
(-.f64 (*.f64 #s(literal 3 binary64) x) z)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -1 (/ z x))))
(*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 z x)))
(* x (+ 3 (* -1 (/ z x))))
(*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 z x)))
(* x (+ 3 (* -1 (/ z x))))
(*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 z x)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (/ z x) 3)))
(*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 z x)))
(* -1 (* x (- (/ z x) 3)))
(*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 z x)))
(* -1 (* x (- (/ z x) 3)))
(*.f64 x (-.f64 #s(literal 3 binary64) (/.f64 z x)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(+ (* -1 z) (* 3 x))
(-.f64 (*.f64 #s(literal 3 binary64) x) z)
(+ (* -1 z) (* 3 x))
(-.f64 (*.f64 #s(literal 3 binary64) x) z)
(+ (* -1 z) (* 3 x))
(-.f64 (*.f64 #s(literal 3 binary64) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ x z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 x z) #s(literal -1 binary64)))
(* z (- (* 3 (/ x z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 x z) #s(literal -1 binary64)))
(* z (- (* 3 (/ x z)) 1))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 x z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 x z) #s(literal -1 binary64)))
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 x z) #s(literal -1 binary64)))
(* -1 (* z (+ 1 (* -3 (/ x z)))))
(*.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 x z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)

eval123.0ms (1.4%)

Memory
-10.2MiB live, 180.2MiB allocated
Compiler

Compiled 13 912 to 1 472 computations (89.4% saved)

prune84.0ms (0.9%)

Memory
-18.0MiB live, 205.1MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5681569
Fresh000
Picked202
Done066
Total5707577
Accuracy
100.0%
Counts
577 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓37.1%
(fma.f64 y #s(literal 2 binary64) x)
✓69.6%
(fma.f64 x #s(literal 3 binary64) z)
63.4%
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
✓63.3%
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
✓67.9%
(fma.f64 #s(literal 2 binary64) y z)
✓33.7%
(*.f64 x #s(literal 3 binary64))
✓32.1%
(*.f64 #s(literal 2 binary64) y)
Compiler

Compiled 195 to 87 computations (55.4% saved)

regimes24.0ms (0.3%)

Memory
33.3MiB live, 68.7MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 y #s(literal 2 binary64) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (neg.f64 z)))
(/.f64 (fma.f64 z z (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 z (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 (+.f64 x y) (+.f64 x z)))
(*.f64 (fma.f64 x #s(literal 3 binary64) z) (*.f64 (-.f64 (*.f64 x #s(literal 3 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x #s(literal 3 binary64)) z))))
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Calls

4 calls:

7.0ms
z
5.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes20.0ms (0.2%)

Memory
-35.6MiB live, 46.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 y #s(literal 2 binary64) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(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 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
Calls

4 calls:

9.0ms
x
4.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
92.3%3x
89.6%3y
87.0%3z
76.0%3(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes3.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 y #s(literal 2 binary64) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
Outputs
(fma.f64 #s(literal 2 binary64) (+.f64 y x) x)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
92.2%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 y #s(literal 2 binary64) x)
(+.f64 (*.f64 #s(literal 2 binary64) y) x)
Outputs
(fma.f64 x #s(literal 3 binary64) z)
(fma.f64 #s(literal 2 binary64) y z)
(fma.f64 x #s(literal 3 binary64) z)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
90.4%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory
-17.1MiB live, 22.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
(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

3 calls:

3.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
71.7%3z
72.5%3y
84.2%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 x #s(literal 3 binary64))
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
2.0ms
x
Results
AccuracySegmentsBranch
39.6%4z
53.9%3y
40.7%3(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
54.2%3x
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0.1%)

Memory
-16.8MiB live, 21.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
Outputs
(*.f64 #s(literal 2 binary64) y)
Calls

4 calls:

3.0ms
y
1.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
1.0ms
z
Results
AccuracySegmentsBranch
32.1%1z
32.1%1(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
32.1%1y
32.1%1x
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch20.0ms (0.2%)

Memory
13.7MiB live, 53.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
3304829.0179204987
88897914.74741612
8.0ms
-2.4257174374746505e+147
-1.6068465532307961e+146
Samples
8.0ms196×0valid
1.0ms5×2valid
1.0ms7×1valid
Compiler

Compiled 237 to 182 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 5.0ms (95.6% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3304829.0179204987
88897914.74741612
1.0ms
-2.4257174374746505e+147
-1.6068465532307961e+146
Compiler

Compiled 237 to 176 computations (25.7% saved)

bsearch15.0ms (0.2%)

Memory
-7.3MiB live, 33.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
3304829.0179204987
88897914.74741612
13.0ms
-3.441025607613613e+202
-1.8627505206220813e+201
Samples
6.0ms107×0valid
1.0ms3×1valid
0.0ms2×2valid
Compiler

Compiled 241 to 182 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 3.0ms (88.9% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
0.8MiB live, 40.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.431772107651524e+97
8.367543780116241e+98
4.0ms
-3.441025607613613e+202
-1.8627505206220813e+201
Samples
5.0ms123×0valid
2.0ms12×1valid
1.0ms7×2valid
1.0ms2×3valid
Compiler

Compiled 227 to 182 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 4.0ms (73.4% of total)
adjust: 1.0ms (18.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3304829.0179204987
88897914.74741612
1.0ms
-3.441025607613613e+202
-1.8627505206220813e+201
Compiler

Compiled 213 to 182 computations (14.6% saved)

simplify8.0ms (0.1%)

Memory
-17.8MiB live, 21.4MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035113
142113
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(if (<=.f64 x #s(literal -165000000000000007903709024476103744616398947797415384623000018983325502681997791607267438626240576651305293681784262667505778930049497963767529472 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -165000000000000007903709024476103744616398947797415384623000018983325502681997791607267438626240576651305293681784262667505778930049497963767529472 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -1899999999999999976485763744042781469135201442722537039410552802586633205039952279975558260783962320798922880878178048564377666072773356190329393389670821001758726871330600178817655786282341466273480704 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -2119999999999999976625616938849679897446321207194240667055476561583404888551056215115955771493224781969863437188255446424161782112338781852972256001929401397516834499889856243683296042248942353360355328 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 460000000000000026256351609690420743009350785470792283693407748414760915725008523751736400100196352 binary64)) (fma.f64 #s(literal 2 binary64) y z) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -1899999999999999976485763744042781469135201442722537039410552802586633205039952279975558260783962320798922880878178048564377666072773356190329393389670821001758726871330600178817655786282341466273480704 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 27500000 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) y)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x)
(+.f64 x (+.f64 (+.f64 x (+.f64 y (+.f64 x y))) z))
(if (<=.f64 x #s(literal -165000000000000007903709024476103744616398947797415384623000018983325502681997791607267438626240576651305293681784262667505778930049497963767529472 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 #s(literal 2 binary64) y)) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -165000000000000007903709024476103744616398947797415384623000018983325502681997791607267438626240576651305293681784262667505778930049497963767529472 binary64)) (fma.f64 #s(literal 3 binary64) x (*.f64 y #s(literal 2 binary64))) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -165000000000000007903709024476103744616398947797415384623000018983325502681997791607267438626240576651305293681784262667505778930049497963767529472 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 y x) x) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -165000000000000007903709024476103744616398947797415384623000018983325502681997791607267438626240576651305293681784262667505778930049497963767529472 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 x y) x) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -1899999999999999976485763744042781469135201442722537039410552802586633205039952279975558260783962320798922880878178048564377666072773356190329393389670821001758726871330600178817655786282341466273480704 binary64)) (fma.f64 x #s(literal 3 binary64) z) (if (<=.f64 x #s(literal 27500000 binary64)) (fma.f64 #s(literal 2 binary64) y z) (fma.f64 x #s(literal 3 binary64) z)))
(if (<=.f64 x #s(literal -2119999999999999976625616938849679897446321207194240667055476561583404888551056215115955771493224781969863437188255446424161782112338781852972256001929401397516834499889856243683296042248942353360355328 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 460000000000000026256351609690420743009350785470792283693407748414760915725008523751736400100196352 binary64)) (fma.f64 #s(literal 2 binary64) y z) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -1899999999999999976485763744042781469135201442722537039410552802586633205039952279975558260783962320798922880878178048564377666072773356190329393389670821001758726871330600178817655786282341466273480704 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 27500000 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -1899999999999999976485763744042781469135201442722537039410552802586633205039952279975558260783962320798922880878178048564377666072773356190329393389670821001758726871330600178817655786282341466273480704 binary64)) (*.f64 x #s(literal 3 binary64)) (if (<=.f64 x #s(literal 27500000 binary64)) (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))

soundness780.0ms (8.8%)

Memory
-0.4MiB live, 529.3MiB allocated
Rules
16 234×lower-fma.f64
16 234×lower-fma.f32
13 278×lower-fma.f64
13 278×lower-fma.f32
10 710×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113764
1343762
2900762
32801762
46719762
08258658
02811329
18461300
222781262
084661159
05153248
116003180
246863078
084332837
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 227 to 116 computations (48.9% saved)

preprocess93.0ms (1%)

Memory
5.9MiB live, 124.7MiB allocated
Compiler

Compiled 260 to 84 computations (67.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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