Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, C

Time bar (total: 7.8s)

analyze39.0ms (0.5%)

Memory
-8.0MiB live, 67.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample823.0ms (10.5%)

Memory
56.7MiB live, 1 299.8MiB allocated
Samples
548.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 349.0ms
ival-mult: 139.0ms (39.8% of total)
ival-add: 89.0ms (25.5% of total)
ival-div: 63.0ms (18% of total)
ival-sub: 39.0ms (11.2% of total)
exact: 10.0ms (2.9% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess413.0ms (5.3%)

Memory
-51.4MiB live, 574.9MiB allocated
Algorithm
egg-herbie
Rules
7 292×accelerator-lowering-fma.f32
7 292×accelerator-lowering-fma.f64
2 920×/-lowering-/.f32
2 920×/-lowering-/.f64
2 674×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050143
1134130
2397130
31129112
4335094
5748194
01213
12413
25213
310213
420311
54699
614659
745999
080908
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
Call 2
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y)))
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y)))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y)))
(+ 1 (/ (* 4 (- (+ y (* x 1/4)) z)) x))
(+ 1 (/ (* 4 (- (+ z (* y 1/4)) x)) y))
(+ 1 (/ (* 4 (- (+ x (* z 1/4)) y)) z))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
(+ (* (/ 4 y) (- x z)) 2)
(+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y))
(+ (/ (* -4 (+ x z)) y) 2)
(+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y)))
(+ (* (/ 4 y) (- z x)) 2)
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y))
(+ (* (/ 4 y) (+ x z)) 2)
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 1/4)) z)) y)))
(- -2 (/ (* -4 (+ x z)) y))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 1/4)) z)) (neg y))))
(+ (* (/ 4 y) (- x z)) -2)
(neg (+ 1 (/ (* 4 (- (+ x (* y 1/4)) (neg z))) y)))
(+ -2 (/ (* -4 (+ x z)) y))
(+ 1 (/ (* 4 (- (+ y (* x 1/4)) z)) x))
(+ 1 (/ (+ x (* 4 (- y z))) x))
(+ 1 (/ (* 4 (- (+ z (* y 1/4)) x)) y))
(+ (* (/ 4 y) (- z x)) 2)
(+ 1 (/ (* 4 (- (+ x (* z 1/4)) y)) z))
(+ 1 (/ (+ z (* 4 (- x y))) z))

explain147.0ms (1.9%)

Memory
30.8MiB live, 187.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 y #s(literal 1/4 binary64))
00-0-#s(literal 1/4 binary64)
00-0-z
00-0-#s(literal 4 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
00-0-y
00-0-(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
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
38.0ms512×0valid
Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (32.4% of total)
ival-add: 5.0ms (27% of total)
ival-div: 4.0ms (21.6% of total)
ival-sub: 2.0ms (10.8% of total)
exact: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify553.0ms (7.1%)

Memory
-2.6MiB live, 443.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
cost-diff192
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
cost-diff320
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
Rules
7 292×accelerator-lowering-fma.f32
7 292×accelerator-lowering-fma.f64
2 920×/-lowering-/.f32
2 920×/-lowering-/.f64
2 674×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
12454
25254
310254
420348
546946
6146546
7459946
0809041
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
1
(/ (* 4 (- (+ x (* y 1/4)) z)) y)
(* 4 (- (+ x (* y 1/4)) z))
4
(- (+ x (* y 1/4)) z)
(+ x (* y 1/4))
x
(* y 1/4)
y
1/4
z
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(/ (* 4 (- (+ x (* y 1/4)) z)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(* 4 (- (+ x (* y 1/4)) z))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
4
#s(literal 4 binary64)
(- (+ x (* y 1/4)) z)
(-.f64 x (fma.f64 y #s(literal -1/4 binary64) z))
(+ x (* y 1/4))
(fma.f64 y #s(literal 1/4 binary64) x)
x
(* y 1/4)
(fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))
y
1/4
#s(literal 1/4 binary64)
z

localize66.0ms (0.8%)

Memory
-8.7MiB live, 68.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Samples
54.0ms256×0valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 9.0ms (54.2% of total)
ival-add: 3.0ms (18.1% of total)
ival-mult: 3.0ms (18.1% of total)
ival-sub: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-15.2MiB live, 20.9MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (* 4 (- (+ x (* y 1/4)) z))>
#<alt (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))>
#<alt (+ x (* y 1/4))>
#<alt (/ (* 4 (- (+ x (* y 1/4)) z)) y)>
#<alt (* y 1/4)>
Outputs
#<alt (* 4 (- (* 1/4 y) z))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 1/4 y) z)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))>
#<alt (* 4 (- x z))>
#<alt (+ y (* 4 (- x z)))>
#<alt (+ y (* 4 (- x z)))>
#<alt (+ y (* 4 (- x z)))>
#<alt y>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 1 (* 4 (/ (- x z) y))))>
#<alt y>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 1)))>
#<alt (* 4 (+ x (* 1/4 y)))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 1/4 y))))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))>
#<alt (+ 1 (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* 1/4 y)>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt (* x (+ 1 (* 1/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (+ x (* 1/4 y))>
#<alt (* 1/4 y)>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* y (+ 1/4 (/ x y)))>
#<alt (* 1/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/4)))>
#<alt (* 4 (/ (- (* 1/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (+ x (* 1/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
Calls

36 calls:

TimeVariablePointExpression
27.0ms
z
@-inf
(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms
x
@inf
(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms
x
@0
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
1.0ms
y
@inf
(* 4 (- (+ x (* y 1/4)) z))
0.0ms
x
@inf
(* 4 (- (+ x (* y 1/4)) z))

rewrite846.0ms (10.8%)

Memory
2.5MiB live, 677.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 902×accelerator-lowering-fma.f32
6 902×accelerator-lowering-fma.f64
5 372×*-lowering-*.f32
5 372×*-lowering-*.f64
3 676×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
16841
262341
0848336
Stop Event
iter limit
node limit
Counts
5 → 335
Calls
Call 1
Inputs
(* 4 (- (+ x (* y 1/4)) z))
(+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y))
(+ x (* y 1/4))
(/ (* 4 (- (+ x (* y 1/4)) z)) y)
(* y 1/4)
Outputs
(+.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)))
(+.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)) (*.f64 #s(literal 4 binary64) x))
(+.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))
(+.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 #s(literal -4 binary64) z))
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (neg.f64 (*.f64 z #s(literal 4 binary64))))
(+.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y #s(literal 1/4 binary64))) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 x z) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64)))
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(/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) (*.f64 y (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (*.f64 y (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) #s(literal 4 binary64)) (*.f64 y (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64)) (*.f64 y (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))))) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) #s(literal 4 binary64))) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64))) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))))
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 y #s(literal 1/4 binary64) x)))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 4 binary64) y)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 4 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 (+.f64 x (*.f64 y #s(literal -1/4 binary64))) z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 (+.f64 x (*.f64 y #s(literal -1/4 binary64))) z))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y)) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)))
(pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x) (*.f64 z (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))))) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z))) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)) y))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) y))
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(*.f64 (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z))
(/.f64 y #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -4 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)

simplify464.0ms (5.9%)

Memory
37.1MiB live, 825.5MiB allocated
Algorithm
egg-herbie
Rules
16 484×accelerator-lowering-fma.f32
16 484×accelerator-lowering-fma.f64
5 278×*-lowering-*.f32
5 278×*-lowering-*.f64
2 388×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201280
13601259
29611020
33605976
08398865
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* 4 (- x z))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1 (* 4 (/ (- x z) y))))
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 1/4 y)
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(+ x (* 1/4 y))
x
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ 1 (* 1/4 (/ y x))))
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
x
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(* 1/4 y)
(* y (+ 1/4 (/ x y)))
(* y (+ 1/4 (/ x y)))
(* y (+ 1/4 (/ x y)))
(* 1/4 y)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
Outputs
(* 4 (- (* 1/4 y) z))
(fma.f64 z #s(literal -4 binary64) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ y (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* 4 (+ x (* 1/4 y)))
(fma.f64 #s(literal 4 binary64) x y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) y)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 x (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(/.f64 x (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x)))
(* 4 (/ (- x z) y))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 4 (/ (- (* 1/4 y) z) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 x (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ x y))
(/.f64 x (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ (- x z) y))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) y) y)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 4 (/ (+ x (* 1/4 y)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))

eval101.0ms (1.3%)

Memory
-2.3MiB live, 107.2MiB allocated
Compiler

Compiled 12 531 to 1 397 computations (88.9% saved)

prune56.0ms (0.7%)

Memory
0.5MiB live, 121.4MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4736479
Fresh000
Picked101
Done000
Total4746480
Accuracy
100.0%
Counts
480 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
67.4%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
71.3%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
65.2%
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
36.9%
(*.f64 #s(literal -4 binary64) (/.f64 z y))
36.1%
#s(literal 2 binary64)
Compiler

Compiled 104 to 80 computations (23.1% saved)

simplify91.0ms (1.2%)

Memory
-17.0MiB live, 92.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
cost-diff-64
(*.f64 #s(literal -4 binary64) (/.f64 z y))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(-.f64 x z)
cost-diff0
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
Rules
1 184×accelerator-lowering-fma.f32
1 184×accelerator-lowering-fma.f64
544×*-lowering-*.f32
544×*-lowering-*.f64
240×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01660
13060
24760
38760
414260
522260
636260
761560
8101260
9173460
10199160
11205260
12207560
13207660
14207660
0207657
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (- x z) (/ 4 y)) 2)
(- x z)
x
z
(/ 4 y)
4
y
2
2
(* -4 (/ z y))
-4
(/ z y)
z
y
(+ (* -4 (/ z y)) 2)
-4
(/ z y)
z
y
2
(+ (* 4 (/ x y)) 2)
4
(/ x y)
x
y
2
Outputs
(+ (* (- x z) (/ 4 y)) 2)
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(- x z)
(-.f64 x z)
x
z
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
-4
#s(literal -4 binary64)
(/ z y)
(/.f64 z y)
z
y
(+ (* -4 (/ z y)) 2)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
-4
#s(literal -4 binary64)
(/ z y)
(/.f64 z y)
z
y
2
#s(literal 2 binary64)
(+ (* 4 (/ x y)) 2)
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
4
#s(literal 4 binary64)
(/ x y)
(/.f64 x y)
x
y
2
#s(literal 2 binary64)

localize49.0ms (0.6%)

Memory
-10.2MiB live, 105.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(*.f64 #s(literal -4 binary64) (/.f64 z y))
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy100.0%
(-.f64 x z)
accuracy99.8%
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
Samples
31.0ms256×0valid
Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 6.0ms (35% of total)
ival-mult: 4.0ms (23.4% of total)
ival-sub: 3.0ms (17.5% of total)
ival-add: 3.0ms (17.5% of total)
exact: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
3.5MiB live, 44.3MiB allocated
Counts
8 → 192
Calls
Call 1
Inputs
#<alt (+ (* (- x z) (/ 4 y)) 2)>
#<alt (- x z)>
#<alt (/ 4 y)>
#<alt (/ z y)>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) 2)>
#<alt (+ (* 4 (/ x y)) 2)>
#<alt (/ x y)>
Outputs
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ 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)>
Calls

48 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(* -4 (/ z y))
1.0ms
y
@0
(+ (* 4 (/ x y)) 2)
0.0ms
x
@0
(+ (* (- x z) (/ 4 y)) 2)
0.0ms
x
@-inf
(+ (* (- x z) (/ 4 y)) 2)
0.0ms
z
@inf
(+ (* (- x z) (/ 4 y)) 2)

rewrite402.0ms (5.1%)

Memory
30.3MiB live, 727.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 942×accelerator-lowering-fma.f32
6 942×accelerator-lowering-fma.f64
5 724×*-lowering-*.f32
5 724×*-lowering-*.f64
4 306×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
19340
274240
0835537
Stop Event
iter limit
node limit
Counts
8 → 509
Calls
Call 1
Inputs
(+ (* (- x z) (/ 4 y)) 2)
(- x z)
(/ 4 y)
(/ z y)
(* -4 (/ z y))
(+ (* -4 (/ z y)) 2)
(+ (* 4 (/ x y)) 2)
(/ x y)
Outputs
(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(+.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y y)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (-.f64 x z) (/.f64 (/.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 y (+.f64 x z))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x x (*.f64 z (+.f64 x z))))) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (neg.f64 (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4 binary64) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))))) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64))))) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z))))) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y)) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 x x (*.f64 z (+.f64 x z)))) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64)) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 x z) y) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/4 binary64) (+.f64 x z)))) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 x z) y)) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (+.f64 x z) y))) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z)) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) y) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (-.f64 x z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y)) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (-.f64 x z) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x z) y)) #s(literal 2 binary64))
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(/.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -64 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (+.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 y (*.f64 y y))) #s(literal 16 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 y (*.f64 y y))) #s(literal -16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)) (*.f64 y y))) (/.f64 #s(literal 4 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))))) (-.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 64 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 512 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal -8 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) (+.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 y (*.f64 y y))) #s(literal 16 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 4 binary64)) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 y (*.f64 y y))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 16 binary64)) #s(literal 8 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64))) (fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 8 binary64)) y)) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 8 binary64)) y)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 8 binary64)) y)))))) (fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 8 binary64)) y)) (-.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 8 binary64)) y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal 8 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 (*.f64 x #s(literal 8 binary64)) y)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (/.f64 (*.f64 x #s(literal 8 binary64)) y)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) #s(literal -4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 64 binary64) (*.f64 y (*.f64 y y))) #s(literal -8 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y y)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x #s(literal 8 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 x y)
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) y)
(/.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y))

simplify446.0ms (5.7%)

Memory
-14.9MiB live, 503.6MiB allocated
Algorithm
egg-herbie
Rules
7 244×accelerator-lowering-fma.f32
7 244×accelerator-lowering-fma.f64
3 718×*-lowering-*.f32
3 718×*-lowering-*.f64
1 604×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831051
12221051
2612955
31874955
44453955
57308955
08193890
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* 4 (/ x y))
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal -4 binary64) (-.f64 z x) #s(literal 0 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(/.f64 (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal -4 binary64) z #s(literal 0 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 0 binary64))
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 4 binary64) x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 4 binary64) x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 4 binary64) x)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 #s(literal 4 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)

eval93.0ms (1.2%)

Memory
5.2MiB live, 239.4MiB allocated
Compiler

Compiled 14 820 to 1 354 computations (90.9% saved)

prune219.0ms (2.8%)

Memory
27.2MiB live, 149.1MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New7474751
Fresh101
Picked055
Done000
Total7489757
Accuracy
100.0%
Counts
757 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
98.4%
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
67.3%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
99.8%
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
67.4%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
71.3%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
36.8%
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
36.9%
(*.f64 #s(literal -4 binary64) (/.f64 z y))
36.1%
#s(literal 2 binary64)
Compiler

Compiled 83 to 63 computations (24.1% saved)

simplify75.0ms (1%)

Memory
-3.8MiB live, 73.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
cost-diff0
(/.f64 x y)
cost-diff896
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
cost-diff-64
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
cost-diff0
(/.f64 #s(literal -4 binary64) y)
Rules
1 184×accelerator-lowering-fma.f32
1 184×accelerator-lowering-fma.f64
544×*-lowering-*.f32
544×*-lowering-*.f64
326×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02083
14383
26283
38675
414575
525875
642175
765875
8107375
9173075
10191475
11197775
12201075
13201075
0201071
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ -4 y) z)
(/ -4 y)
-4
y
z
(+ (* (/ 4 y) x) 2)
(/ 4 y)
4
y
x
2
(+ (* (/ x y) 4) (+ (* z (/ -4 y)) 2))
(/ x y)
x
y
4
(+ (* z (/ -4 y)) 2)
z
(/ -4 y)
-4
2
(+ (* (/ (- x z) y) 4) 2)
(/ (- x z) y)
(- x z)
x
z
y
4
2
Outputs
(* (/ -4 y) z)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
z
(+ (* (/ 4 y) x) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
x
2
#s(literal 2 binary64)
(+ (* (/ x y) 4) (+ (* z (/ -4 y)) 2))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
x
y
4
#s(literal 4 binary64)
(+ (* z (/ -4 y)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
z
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
2
#s(literal 2 binary64)
(+ (* (/ (- x z) y) 4) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(- x z)
(-.f64 x z)
x
z
y
4
#s(literal 4 binary64)
2
#s(literal 2 binary64)

localize63.0ms (0.8%)

Memory
-14.4MiB live, 121.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(/.f64 (-.f64 x z) y)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy99.9%
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
accuracy98.7%
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy99.8%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
Samples
40.0ms256×0valid
Compiler

Compiled 76 to 22 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (40.2% of total)
ival-div: 9.0ms (36.2% of total)
ival-add: 5.0ms (20.1% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-23.1MiB live, 14.2MiB allocated
Counts
10 → 252
Calls
Call 1
Inputs
#<alt (/ -4 y)>
#<alt (* (/ -4 y) z)>
#<alt (+ (* (/ 4 y) x) 2)>
#<alt (/ 4 y)>
#<alt (+ (* (/ x y) 4) (+ (* z (/ -4 y)) 2))>
#<alt (/ x y)>
#<alt (+ (* z (/ -4 y)) 2)>
#<alt (+ (* (/ (- x z) y) 4) 2)>
#<alt (/ (- x z) y)>
#<alt (- x z)>
Outputs
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt (/ (+ (* 2 y) (* 4 x)) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (/ (+ (* -4 z) (* 4 x)) y)>
#<alt (/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)>
#<alt (/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)>
#<alt (/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)>
#<alt 2>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))>
#<alt (+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))>
#<alt (+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 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 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt (/ (+ (* -4 z) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (* -1 (/ z y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (/ x y)>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
Calls

63 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (* (/ x y) 4) (+ (* z (/ -4 y)) 2))
0.0ms
z
@0
(+ (* (/ x y) 4) (+ (* z (/ -4 y)) 2))
0.0ms
y
@-inf
(/ (- x z) y)
0.0ms
y
@0
(/ -4 y)
0.0ms
x
@-inf
(/ (- x z) y)

rewrite515.0ms (6.6%)

Memory
16.1MiB live, 635.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 962×/-lowering-/.f32
4 962×/-lowering-/.f64
4 394×accelerator-lowering-fma.f32
4 394×accelerator-lowering-fma.f64
4 392×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02058
112458
2109858
0836753
Stop Event
iter limit
node limit
Counts
10 → 730
Calls
Call 1
Inputs
(/ -4 y)
(* (/ -4 y) z)
(+ (* (/ 4 y) x) 2)
(/ 4 y)
(+ (* (/ x y) 4) (+ (* z (/ -4 y)) 2))
(/ x y)
(+ (* z (/ -4 y)) 2)
(+ (* (/ (- x z) y) 4) 2)
(/ (- x z) y)
(- x z)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal -4 binary64) y)
(/.f64 #s(literal -4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y #s(literal -1/4 binary64)))))
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 4 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z))))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(pow.f64 (/.f64 y (*.f64 #s(literal -4 binary64) z)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(+.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 y y)) (-.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
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simplify284.0ms (3.6%)

Memory
0.6MiB live, 435.8MiB allocated
Algorithm
egg-herbie
Rules
6 286×accelerator-lowering-fma.f32
6 286×accelerator-lowering-fma.f64
2 714×*-lowering-*.f32
2 714×*-lowering-*.f64
1 592×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081680
12951590
28331382
323671382
447271382
578281382
080481288
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* 4 (/ x y))
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
2
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(/ (+ (* -4 z) (* 4 x)) y)
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
2
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
2
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 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)
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) x)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) x)) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(/ (+ (* -4 z) (* 4 x)) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 z x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 z x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 z x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 0 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 z x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 z x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 z x) (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

eval241.0ms (3.1%)

Memory
-2.4MiB live, 269.4MiB allocated
Compiler

Compiled 26 452 to 2 210 computations (91.6% saved)

prune143.0ms (1.8%)

Memory
-9.7MiB live, 271.8MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 00811 009
Fresh000
Picked134
Done055
Total1 00991 018
Accuracy
100.0%
Counts
1 018 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
67.3%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
98.4%
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
99.8%
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
67.4%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
71.3%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
36.8%
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
36.9%
(*.f64 #s(literal -4 binary64) (/.f64 z y))
36.1%
#s(literal 2 binary64)
Compiler

Compiled 82 to 62 computations (24.4% saved)

simplify81.0ms (1%)

Memory
23.6MiB live, 103.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
cost-diff704
(-.f64 (/.f64 x y) (/.f64 z y))
Rules
1 184×accelerator-lowering-fma.f32
1 184×accelerator-lowering-fma.f64
544×*-lowering-*.f32
544×*-lowering-*.f64
350×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
11429
22929
37329
413028
520627
634227
755125
8109325
9185325
10244025
11248725
12251525
13251525
0251524
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (- (/ x y) (/ z y)) 4) 2)
(- (/ x y) (/ z y))
(/ x y)
x
y
(/ z y)
z
4
2
Outputs
(+ (* (- (/ x y) (/ z y)) 4) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(- (/ x y) (/ z y))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
x
y
(/ z y)
(/.f64 z y)
z
4
#s(literal 4 binary64)
2
#s(literal 2 binary64)

localize27.0ms (0.3%)

Memory
-24.2MiB live, 53.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(/.f64 x y)
accuracy98.7%
(-.f64 (/.f64 x y) (/.f64 z y))
Samples
19.0ms256×0valid
Compiler

Compiled 30 to 12 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.9% of total)
ival-mult: 2.0ms (22.4% of total)
ival-sub: 1.0ms (11.2% of total)
ival-add: 1.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#<alt (- (/ x y) (/ z y))>
#<alt (+ (* (- (/ x y) (/ z y)) 4) 2)>
#<alt (/ x y)>
#<alt (/ z y)>
Outputs
#<alt (* -1 (/ z y))>
#<alt (- (/ x y) (/ z y))>
#<alt (- (/ x y) (/ z y))>
#<alt (- (/ x y) (/ z y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (* -1 (/ (- (* -1 x) (* -1 z)) y))>
#<alt (* -1 (/ (- (* -1 x) (* -1 z)) y))>
#<alt (* -1 (/ (- (* -1 x) (* -1 z)) y))>
#<alt (* -1 (/ (- (* -1 x) (* -1 z)) y))>
#<alt (/ x y)>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (+ 2 (* -4 (/ z y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 2 y) (* 4 (- x z))) y)>
#<alt 2>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt (+ 2 (* 4 (/ (- x z) y)))>
#<alt 2>
#<alt (+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))>
#<alt (+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))>
#<alt (+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))>
#<alt (+ 2 (* 4 (/ x y)))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 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 y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (* (- (/ x y) (/ z y)) 4) 2)
0.0ms
y
@-inf
(+ (* (- (/ x y) (/ z y)) 4) 2)
0.0ms
x
@0
(+ (* (- (/ x y) (/ z y)) 4) 2)
0.0ms
z
@inf
(+ (* (- (/ x y) (/ z y)) 4) 2)
0.0ms
x
@-inf
(+ (* (- (/ x y) (/ z y)) 4) 2)

rewrite306.0ms (3.9%)

Memory
15.0MiB live, 453.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 096×accelerator-lowering-fma.f32
4 096×accelerator-lowering-fma.f64
3 956×/-lowering-/.f32
3 956×/-lowering-/.f64
3 472×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
16020
259520
0934819
Stop Event
iter limit
node limit
Counts
4 → 241
Calls
Call 1
Inputs
(- (/ x y) (/ z y))
(+ (* (- (/ x y) (/ z y)) 4) 2)
(/ x y)
(/ z y)
Outputs
(+.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x y))
(+.f64 (/.f64 (*.f64 x y) (*.f64 y y)) (neg.f64 (/.f64 (*.f64 y z) (*.f64 y y))))
(+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y))))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))))
(-.f64 (/.f64 x y) (/.f64 z y))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (*.f64 x y) (*.f64 y y)) (/.f64 (*.f64 y z) (*.f64 y y)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)) (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)))
(-.f64 (/.f64 (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 y z))) (/.f64 y (*.f64 y (/.f64 y z))))
(-.f64 (/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y))) (*.f64 y y)) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z)) (neg.f64 (*.f64 y (/.f64 y z)))) (/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 y (/.f64 y z)))))
(-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 (/.f64 y x) z) (*.f64 (/.f64 y x) y)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (/.f64 y x) y))) (/.f64 (neg.f64 (*.f64 (/.f64 y x) z)) (neg.f64 (*.f64 (/.f64 y x) y))))
(-.f64 (/.f64 (/.f64 y z) (*.f64 (/.f64 y x) (/.f64 y z))) (/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y z))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 (/.f64 x y) (/.f64 y y) (neg.f64 (/.f64 (*.f64 y z) (*.f64 y y))))
(fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 x y))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (/.f64 (*.f64 y z) (*.f64 y y))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) z) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 #s(literal -1 binary64) (/.f64 z y) (/.f64 x y))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) z (/.f64 x y))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) (+.f64 x z)) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))))
(fma.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 x y) (+.f64 x z)) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 x z)) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))))
(fma.f64 (/.f64 y y) (/.f64 x y) (neg.f64 (/.f64 (*.f64 y z) (*.f64 y y))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(neg.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) y) (/.f64 z y)))
(neg.f64 (+.f64 (/.f64 z y) (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 (-.f64 x z) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y))))))
(neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) z) y))
(neg.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) y) (*.f64 y z)) (*.f64 y y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y y))) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)))
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y z)) (fma.f64 x (/.f64 y z) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (/.f64 y z))) (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (-.f64 y (*.f64 (/.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (/.f64 y x) y)) (-.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (/.f64 y x) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (/.f64 y z)) (-.f64 (/.f64 y z) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) y)))
(/.f64 (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 x z))))
(/.f64 (fma.f64 x (/.f64 y z) (-.f64 #s(literal 0 binary64) y)) (*.f64 y (/.f64 y z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y z))) (*.f64 y y))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z) y) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (-.f64 y (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 y (*.f64 (/.f64 y x) z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (/.f64 y x) z))) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (*.f64 (/.f64 y x) z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y))
(/.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y z)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) y) (*.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)))
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) y) y)
(/.f64 (fma.f64 x (/.f64 y z) (*.f64 y #s(literal -1 binary64))) (*.f64 y (/.f64 y z)))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (/.f64 y x) z)) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 y x)) (*.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (+.f64 (/.f64 y z) (*.f64 (/.f64 y x) #s(literal -1 binary64))) (*.f64 (/.f64 y x) (/.f64 y z)))
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(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z)) y) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(/.f64 (fma.f64 z (/.f64 y x) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y x)))
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(/.f64 (fma.f64 y z (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y x) y) (*.f64 y (/.f64 y x)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal -1 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (+.f64 (/.f64 y x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 y x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
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(/.f64 (+.f64 y (*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (*.f64 (/.f64 y z) y)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 (/.f64 y z) x)) (*.f64 (/.f64 y z) y))
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(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y z))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z))) (*.f64 (/.f64 y x) #s(literal -1 binary64))) (*.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y))
(/.f64 (-.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y z))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 x x) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)) (*.f64 (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (*.f64 z z) (*.f64 y y)))) (*.f64 (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y) (/.f64 (-.f64 x (-.f64 #s(literal 0 binary64) z)) y)))
(/.f64 (neg.f64 (fma.f64 x (/.f64 y z) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y z)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
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(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) #s(literal -4 binary64))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal -4 binary64) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))))) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) #s(literal 64 binary64) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal -8 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal -4 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) #s(literal 64 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal -8 binary64)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) #s(literal 64 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 (/.f64 (-.f64 x z) y) #s(literal -8 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z)))) #s(literal 64 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal -8 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal -4 binary64) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 x y)
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 z y)
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))

simplify229.0ms (2.9%)

Memory
-18.0MiB live, 388.8MiB allocated
Algorithm
egg-herbie
Rules
6 466×accelerator-lowering-fma.f32
6 466×accelerator-lowering-fma.f64
2 378×*-lowering-*.f32
2 378×*-lowering-*.f64
1 466×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074703
1216703
2632607
32068607
45729607
57512607
08023578
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1 (/ z y))
(- (/ x y) (/ z y))
(- (/ x y) (/ z y))
(- (/ x y) (/ z y))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 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 y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
Outputs
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(- (/ x y) (/ z y))
(/.f64 (-.f64 x z) y)
(- (/ x y) (/ z y))
(/.f64 (-.f64 x z) y)
(- (/ x y) (/ z y))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(/.f64 (-.f64 x z) y)
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(/.f64 (-.f64 x z) y)
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(/.f64 (-.f64 x z) y)
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(+ 2 (* -4 (/ z y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* 4 (/ (- x z) y))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 (-.f64 x z) #s(literal 4 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 (-.f64 x z) #s(literal 4 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 (-.f64 x z) #s(literal 4 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) 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 y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)

eval45.0ms (0.6%)

Memory
19.1MiB live, 95.2MiB allocated
Compiler

Compiled 7 294 to 851 computations (88.3% saved)

prune42.0ms (0.5%)

Memory
-26.1MiB live, 96.1MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3610361
Fresh000
Picked011
Done088
Total3619370
Accuracy
100.0%
Counts
370 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
67.3%
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
98.4%
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
99.8%
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
67.4%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
71.3%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
36.8%
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
36.9%
(*.f64 #s(literal -4 binary64) (/.f64 z y))
36.1%
#s(literal 2 binary64)
Compiler

Compiled 172 to 96 computations (44.2% saved)

regimes22.0ms (0.3%)

Memory
8.2MiB live, 47.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
Outputs
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
Calls

5 calls:

5.0ms
y
4.0ms
x
4.0ms
z
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
4.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes55.0ms (0.7%)

Memory
-9.4MiB live, 29.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
Outputs
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
Calls

5 calls:

42.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
99.8%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes15.0ms (0.2%)

Memory
30.9MiB live, 30.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
Outputs
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))
Calls

5 calls:

3.0ms
y
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms
x
3.0ms
z
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
89.5%3x
87.8%3y
91.7%3z
99.1%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
99.1%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes10.0ms (0.1%)

Memory
-23.5MiB live, 15.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
Outputs
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
Calls

3 calls:

4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms
z
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
91.7%3z
71.3%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
71.3%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes11.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
Outputs
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
71.3%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
71.3%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
71.3%1y
71.3%1x
71.3%1z
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes11.0ms (0.1%)

Memory
-22.6MiB live, 18.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 z y))
#s(literal 2 binary64)
(*.f64 #s(literal -4 binary64) (/.f64 z y))
Calls

5 calls:

4.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
58.6%3y
59.1%3z
41.3%2x
69.5%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
69.5%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
Outputs
#s(literal 2 binary64)
Calls

5 calls:

1.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
36.1%1x
36.1%1y
36.1%1z
36.1%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
36.1%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
433968.1296605383
550374819.6953785
0.0ms
-1488835209794.5986
-268598785190.07776
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch26.0ms (0.3%)

Memory
2.2MiB live, 40.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
7.6399585702819635e+28
2.0558901961737699e+40
7.0ms
-6.5116285653525315e-6
-1.7145465288140496e-6
Samples
14.0ms240×0valid
Compiler

Compiled 319 to 258 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (35.8% of total)
ival-div: 2.0ms (23.9% of total)
ival-add: 2.0ms (23.9% of total)
ival-sub: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000566712626
635.4673502752386
0.0ms
-60832.43964189357
0.9991895194876295
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify13.0ms (0.2%)

Memory
-21.3MiB live, 16.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
if-if-or-not_binary32
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042122
158122
263122
365122
466122
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1000000000000 binary64)) (/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 500000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))))
(if (<=.f64 z #s(literal -3246626956972881/590295810358705651712 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 299999999999999991891638616064 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50000 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)
Outputs
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -1000000000000 binary64)) (/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 500000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x z) (fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64)))))
(if (<=.f64 z #s(literal -3246626956972881/590295810358705651712 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) (if (<=.f64 z #s(literal 299999999999999991891638616064 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -50000 binary64)) (*.f64 #s(literal -4 binary64) (/.f64 z y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 z y))))
#s(literal 2 binary64)

soundness668.0ms (8.6%)

Memory
7.6MiB live, 363.9MiB allocated
Rules
16 484×accelerator-lowering-fma.f32
16 484×accelerator-lowering-fma.f64
6 942×accelerator-lowering-fma.f32
6 942×accelerator-lowering-fma.f64
5 724×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
19340
274240
0835537
01201280
13601259
29611020
33605976
08398865
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 191 to 84 computations (56% saved)

preprocess44.0ms (0.6%)

Memory
12.5MiB live, 92.5MiB allocated
Compiler

Compiled 314 to 108 computations (65.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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