Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, C

Time bar (total: 11.5s)

analyze1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
100%99.7%0%0.3%0%0%0%1
Compiler

Compiled 19 to 19 computations (0% saved)

sample1.6s (13.5%)

Memory
17.5MiB live, 1 528.9MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 765.0ms
ival-mult: 385.0ms (50.3% of total)
ival-div: 180.0ms (23.5% of total)
ival-sub: 112.0ms (14.6% of total)
ival-add: 72.0ms (9.4% of total)
exact: 8.0ms (1% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess372.0ms (3.2%)

Memory
-25.1MiB live, 173.4MiB allocated
Algorithm
egg-herbie
Rules
2 224×accelerator-lowering-fma.f32
2 224×accelerator-lowering-fma.f64
1 600×sub-neg
840×distribute-neg-in
764×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167631
1475622
21302612
33617612
46060612
01717
13217
27717
316717
432117
564917
6109217
7167717
8203817
9212817
10216717
11216717
12216717
13216817
0216814
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
Outputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 x y c)))
Call 2
Inputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c))
(neg (+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c)))
(+ (- (+ (* y x) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* z y) (/ (* x t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* t y) (/ (* z x) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* a y) (/ (* z t) 16)) (/ (* x b) 4)) c)
(+ (- (+ (* b y) (/ (* z t) 16)) (/ (* a x) 4)) c)
(+ (- (+ (* c y) (/ (* z t) 16)) (/ (* a b) 4)) x)
(+ (- (+ (* x z) (/ (* y t) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x t) (/ (* z y) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x a) (/ (* z t) 16)) (/ (* y b) 4)) c)
(+ (- (+ (* x b) (/ (* z t) 16)) (/ (* a y) 4)) c)
(+ (- (+ (* x c) (/ (* z t) 16)) (/ (* a b) 4)) y)
(+ (- (+ (* x y) (/ (* t z) 16)) (/ (* a b) 4)) c)
(+ (- (+ (* x y) (/ (* a t) 16)) (/ (* z b) 4)) c)
(+ (- (+ (* x y) (/ (* b t) 16)) (/ (* a z) 4)) c)
(+ (- (+ (* x y) (/ (* c t) 16)) (/ (* a b) 4)) z)
(+ (- (+ (* x y) (/ (* z a) 16)) (/ (* t b) 4)) c)
(+ (- (+ (* x y) (/ (* z b) 16)) (/ (* a t) 4)) c)
(+ (- (+ (* x y) (/ (* z c) 16)) (/ (* a b) 4)) t)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* b a) 4)) c)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* c b) 4)) a)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a c) 4)) b)
Outputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (* z (* t 1/16)) (* x y)) (+ c (* b (* a -1/4))))
(+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (- (* z (* t 1/16)) (* x y)) (+ c (* b (* a -1/4))))
(+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c)
(+ (+ (* x y) (* z (* t -1/16))) (+ c (* b (* a -1/4))))
(+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c)
(+ (+ (* x y) (* z (* t -1/16))) (+ c (* b (* a -1/4))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ (* b (* a 1/4)) c)))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ (* b (* a 1/4)) c)))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c))
(+ (* x y) (+ (* z (* t 1/16)) (- (* b (* a -1/4)) c)))
(neg (+ (- (+ (* (neg x) y) (/ (* z t) 16)) (/ (* a b) 4)) c))
(+ (* x y) (+ (* z (* t -1/16)) (- (* b (* a 1/4)) c)))
(neg (+ (- (+ (* x (neg y)) (/ (* z t) 16)) (/ (* a b) 4)) c))
(+ (* x y) (+ (* z (* t -1/16)) (- (* b (* a 1/4)) c)))
(neg (+ (- (+ (* x y) (/ (* (neg z) t) 16)) (/ (* a b) 4)) c))
(+ (- (* z (* t 1/16)) (* x y)) (- (* b (* a 1/4)) c))
(neg (+ (- (+ (* x y) (/ (* z (neg t)) 16)) (/ (* a b) 4)) c))
(+ (- (* z (* t 1/16)) (* x y)) (- (* b (* a 1/4)) c))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* (neg a) b) 4)) c))
(- (* b (* a -1/4)) (+ (+ (* x y) c) (* z (* t 1/16))))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a (neg b)) 4)) c))
(- (* b (* a -1/4)) (+ (+ (* x y) c) (* z (* t 1/16))))
(neg (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) (neg c)))
(- (* b (* a 1/4)) (+ (- (* x y) c) (* z (* t 1/16))))
(+ (- (+ (* y x) (/ (* z t) 16)) (/ (* a b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* z y) (/ (* x t) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* y z)) (* x (* t 1/16))))
(+ (- (+ (* t y) (/ (* z x) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* x (* z 1/16))) (* y t)))
(+ (- (+ (* a y) (/ (* z t) 16)) (/ (* x b) 4)) c)
(+ (+ (* z (* t 1/16)) (* y a)) (+ c (* x (* b -1/4))))
(+ (- (+ (* b y) (/ (* z t) 16)) (/ (* a x) 4)) c)
(+ (* y b) (+ (* z (* t 1/16)) (+ c (* x (* a -1/4)))))
(+ (- (+ (* c y) (/ (* z t) 16)) (/ (* a b) 4)) x)
(+ (+ (* z (* t 1/16)) (* y c)) (+ x (* b (* a -1/4))))
(+ (- (+ (* x z) (/ (* y t) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* x z)) (* y (* t 1/16))))
(+ (- (+ (* x t) (/ (* z y) 16)) (/ (* a b) 4)) c)
(+ (* b (* a -1/4)) (+ (+ c (* x t)) (/ (* y z) 16)))
(+ (- (+ (* x a) (/ (* z t) 16)) (/ (* y b) 4)) c)
(+ (+ (* z (* t 1/16)) (* y (* b -1/4))) (+ c (* x a)))
(+ (- (+ (* x b) (/ (* z t) 16)) (/ (* a y) 4)) c)
(+ (* z (* t 1/16)) (+ (* x b) (- c (* y (* a 1/4)))))
(+ (- (+ (* x c) (/ (* z t) 16)) (/ (* a b) 4)) y)
(+ (* b (* a -1/4)) (+ (+ y (* x c)) (* z (* t 1/16))))
(+ (- (+ (* x y) (/ (* t z) 16)) (/ (* a b) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* a t) 16)) (/ (* z b) 4)) c)
(+ (+ (* x y) (* t (* a 1/16))) (+ c (* z (* b -1/4))))
(+ (- (+ (* x y) (/ (* b t) 16)) (/ (* a z) 4)) c)
(+ (* t (/ b 16)) (+ (* x y) (+ c (* z (* a -1/4)))))
(+ (- (+ (* x y) (/ (* c t) 16)) (/ (* a b) 4)) z)
(+ (* x y) (+ (* t (* c 1/16)) (+ z (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* z a) 16)) (/ (* t b) 4)) c)
(+ (* t (* b -1/4)) (+ (+ (* x y) c) (* z (* a 1/16))))
(+ (- (+ (* x y) (/ (* z b) 16)) (/ (* a t) 4)) c)
(+ (+ (* x y) (* b (* z 1/16))) (- c (* t (* a 1/4))))
(+ (- (+ (* x y) (/ (* z c) 16)) (/ (* a b) 4)) t)
(+ (* x y) (+ (* z (* c 1/16)) (+ t (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* b a) 4)) c)
(+ (* x y) (+ (* z (* t 1/16)) (+ c (* b (* a -1/4)))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* c b) 4)) a)
(+ (+ (* x y) (* z (* t 1/16))) (+ a (* b (* c -1/4))))
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a c) 4)) b)
(+ (* c (* a -1/4)) (+ (+ (* x y) b) (* z (* t 1/16))))
Symmetry

(sort x y)

(sort z t)

(sort a b)

explain205.0ms (1.8%)

Memory
11.5MiB live, 418.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
30-0-(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
10-0-(/.f64 (*.f64 z t) #s(literal 16 binary64))
00-0-a
00-0-t
00-0-(*.f64 x y)
00-0-c
00-0-y
00-0-#s(literal 16 binary64)
00-0-(*.f64 z t)
00-0-(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
00-0-z
00-0-#s(literal 4 binary64)
00-0-(/.f64 (*.f64 a b) #s(literal 4 binary64))
00-0-(*.f64 a b)
00-0-b
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))nan-rescue30
(*.f64 x y)overflow26
(/.f64 (*.f64 z t) #s(literal 16 binary64))overflow34
(*.f64 z t)overflow35
-.f64(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))nan-rescue30
(/.f64 (*.f64 z t) #s(literal 16 binary64))overflow34
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))overflow56
(*.f64 x y)overflow26
(*.f64 z t)overflow35
(/.f64 (*.f64 a b) #s(literal 4 binary64))overflow34
(*.f64 a b)overflow34
/.f64(/.f64 (*.f64 z t) #s(literal 16 binary64))o/n10
(*.f64 z t)overflow35
Confusion
Predicted +Predicted -
+70
-0249
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+700
-00249
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0249
17
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
88.0ms512×0valid
Compiler

Compiled 190 to 72 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 19.0ms (54.8% of total)
ival-div: 8.0ms (23.1% of total)
ival-add: 4.0ms (11.5% of total)
ival-sub: 2.0ms (5.8% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 7 to 7 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify117.0ms (1%)

Memory
11.0MiB live, 128.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff192
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
cost-diff192
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
cost-diff320
(/.f64 (*.f64 a b) #s(literal 4 binary64))
cost-diff320
(/.f64 (*.f64 z t) #s(literal 16 binary64))
Rules
2 224×accelerator-lowering-fma.f32
2 224×accelerator-lowering-fma.f64
640×*-lowering-*.f32
640×*-lowering-*.f64
576×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01769
13269
27769
316769
432169
564969
6109269
7167769
8203869
9212869
10216769
11216769
12216769
13216869
0216863
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))
(+ (* x y) (/ (* z t) 16))
(* x y)
x
y
(/ (* z t) 16)
(* z t)
z
t
16
(/ (* a b) 4)
(* a b)
a
b
4
c
Outputs
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 x y c)))
(- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 a (fma.f64 b #s(literal -1/4 binary64) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))))
(+ (* x y) (/ (* z t) 16))
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(/ (* z t) 16)
(fma.f64 z (fma.f64 t #s(literal 1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z t)
(fma.f64 z t #s(literal 0 binary64))
z
t
16
#s(literal 16 binary64)
(/ (* a b) 4)
(fma.f64 a (fma.f64 b #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a b)
(fma.f64 a b #s(literal 0 binary64))
a
b
4
#s(literal 4 binary64)
c

localize68.0ms (0.6%)

Memory
-11.9MiB live, 68.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (*.f64 a b) #s(literal 4 binary64))
accuracy99.7%
(/.f64 (*.f64 z t) #s(literal 16 binary64))
accuracy98.9%
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
accuracy98.9%
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
Samples
34.0ms256×0valid
Compiler

Compiled 71 to 19 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42.1% of total)
ival-div: 3.0ms (25.3% of total)
ival-add: 2.0ms (16.9% of total)
ival-sub: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
7.2MiB live, 44.6MiB allocated
Counts
5 → 252
Calls
Call 1
Inputs
#<alt (/ (* z t) 16)>
#<alt (/ (* a b) 4)>
#<alt (+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)>
#<alt (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))>
#<alt (+ (* x y) (/ (* z t) 16))>
Outputs
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (* 1/4 (* a b))>
#<alt (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))>
#<alt (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (- (+ c (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt (- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))>
#<alt c>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt (* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))>
#<alt (- (* 1/16 (* t z)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))>
#<alt (- (* 1/16 (* t z)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* x y)>
#<alt (* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))>
#<alt (* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))>
#<alt (- (* x y) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))>
#<alt (* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (- (* x y) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))>
#<alt (* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x (+ y (* 1/16 (/ (* t z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* y (+ x (* 1/16 (/ (* t z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))>
#<alt (* x y)>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* z (+ (* 1/16 t) (/ (* x y) z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))>
#<alt (* x y)>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* t (+ (* 1/16 z) (/ (* x y) t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
(/ (* a b) 4)
1.0ms
y
@-inf
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
1.0ms
a
@inf
(/ (* a b) 4)
1.0ms
x
@0
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
1.0ms
t
@0
(/ (* z t) 16)

rewrite402.0ms (3.5%)

Memory
5.2MiB live, 880.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 364×*-lowering-*.f32
5 364×*-lowering-*.f64
4 844×/-lowering-/.f32
4 844×/-lowering-/.f64
4 258×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751
18851
293551
0861646
Stop Event
iter limit
node limit
Counts
5 → 366
Calls
Call 1
Inputs
(/ (* z t) 16)
(/ (* a b) 4)
(+ (- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4)) c)
(- (+ (* x y) (/ (* z t) 16)) (/ (* a b) 4))
(+ (* x y) (/ (* z t) 16))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) #s(literal -16 binary64)))
(neg.f64 (/.f64 (*.f64 z t) #s(literal -16 binary64)))
(/.f64 (*.f64 z t) #s(literal 16 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)) #s(literal -16 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 z t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t))) #s(literal 16 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)))) #s(literal -16 binary64))
(pow.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 z t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (*.f64 t #s(literal 1/16 binary64)))
(*.f64 t (*.f64 z #s(literal 1/16 binary64)))
(*.f64 t (/.f64 z #s(literal 16 binary64)))
(*.f64 (*.f64 z t) #s(literal 1/16 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z t)) #s(literal -1/16 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))
(*.f64 #s(literal 1/16 binary64) (*.f64 z t))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z t)) #s(literal -1 binary64)))
(*.f64 (*.f64 t #s(literal 1/16 binary64)) z)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a b) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 a b) #s(literal -1/4 binary64)))
(/.f64 (*.f64 a b) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)))) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 b #s(literal 1/4 binary64)))
(*.f64 b (*.f64 a #s(literal 1/4 binary64)))
(*.f64 b (/.f64 a #s(literal 4 binary64)))
(*.f64 (*.f64 a b) #s(literal 1/4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 b #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 a b))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 b #s(literal 1/4 binary64)) a)
(+.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (-.f64 (*.f64 x y) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(+.f64 (*.f64 x y) (+.f64 (fma.f64 z (*.f64 t #s(literal 1/16 binary64)) (*.f64 (*.f64 a b) #s(literal -1/4 binary64))) c))
(+.f64 (*.f64 x y) (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(+.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (neg.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c))))
(+.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (fma.f64 (*.f64 a b) #s(literal -1/4 binary64) c))
(+.f64 (fma.f64 (*.f64 a b) #s(literal -1/4 binary64) (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))) c)
(+.f64 c (fma.f64 (*.f64 a b) #s(literal -1/4 binary64) (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))))
(+.f64 (+.f64 c (*.f64 x y)) (fma.f64 z (*.f64 t #s(literal 1/16 binary64)) (*.f64 (*.f64 a b) #s(literal -1/4 binary64))))
(+.f64 (+.f64 c (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))) (*.f64 (*.f64 a b) #s(literal -1/4 binary64)))
(-.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (neg.f64 c)))
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(/.f64 (*.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (fma.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z t) (*.f64 z t))) #s(literal 1/4096 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (*.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z t) (*.f64 z t))) #s(literal 1/4096 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (neg.f64 (fma.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z t) (*.f64 z t))) #s(literal 1/4096 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (neg.f64 (fma.f64 (*.f64 (*.f64 z t) (*.f64 z t)) #s(literal 1/256 binary64) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z t) (*.f64 z t)) #s(literal 1/256 binary64)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))) (*.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 z t) (*.f64 z t)) #s(literal 1/256 binary64)))) (*.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z t) (*.f64 z t))) #s(literal 1/4096 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 z t) (*.f64 z t)) #s(literal 1/256 binary64)) (*.f64 (*.f64 x y) (*.f64 x y)))) (neg.f64 (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y))) (fma.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z t) (*.f64 z t))) #s(literal 1/4096 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (*.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 z t) (*.f64 (*.f64 z t) (*.f64 z t))) #s(literal 1/4096 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 z t) #s(literal 1/16 binary64)) (*.f64 x y)) (*.f64 (*.f64 x y) (*.f64 x y)))))
(*.f64 (*.f64 (fma.f64 x y (*.f64 (*.f64 z t) #s(literal 1/16 binary64))) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 (*.f64 z t) #s(literal 1/16 binary64)))))

simplify821.0ms (7.1%)

Memory
-29.6MiB live, 931.6MiB allocated
Algorithm
egg-herbie
Rules
17 544×accelerator-lowering-fma.f32
17 544×accelerator-lowering-fma.f64
4 640×*-lowering-*.f32
4 640×*-lowering-*.f64
2 338×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02033090
16833054
222023012
367553006
085072695
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(* 1/4 (* a b))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* x y)
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))) (* 1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) x)))))
(- (+ c (* 1/16 (* t z))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* x y)
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))) (* 1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ c (* 1/16 (* t z))) (* 1/4 (* a b))) y)))))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))) (* 1/4 (/ (* a b) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) z)) (* -1/16 t))))
(- (+ c (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))) (* 1/4 (/ (* a b) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (+ c (* x y)) (* 1/4 (* a b))) t)) (* -1/16 z))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a))) (* 1/4 b)))
(* -1/4 (* a b))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* -1/4 b))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b))) (* 1/4 a)))
(* -1/4 (* a b))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* -1/4 a))))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
(- (+ c (+ (* 1/16 (* t z)) (* x y))) (* 1/4 (* a b)))
c
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
(* c (- (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))) (* 1/4 (/ (* a b) c))))
c
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(* -1 (* c (- (* -1 (/ (- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b))) c)) 1)))
(- (* 1/16 (* t z)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* x y)
(* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))
(* x (- (+ y (* 1/16 (/ (* t z) x))) (* 1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) x)))))
(- (* 1/16 (* t z)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* x y)
(* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))
(* y (- (+ x (* 1/16 (/ (* t z) y))) (* 1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* 1/16 (* t z)) (* 1/4 (* a b))) y)))))
(- (* x y) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))
(* z (- (+ (* 1/16 t) (/ (* x y) z)) (* 1/4 (/ (* a b) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) z)) (* -1/16 t))))
(- (* x y) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(- (+ (* 1/16 (* t z)) (* x y)) (* 1/4 (* a b)))
(* 1/16 (* t z))
(* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))
(* t (- (+ (* 1/16 z) (/ (* x y) t)) (* 1/4 (/ (* a b) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (- (* x y) (* 1/4 (* a b))) t)) (* -1/16 z))))
(+ (* 1/16 (* t z)) (* x y))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(* -1/4 (* a b))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(* a (- (+ (* 1/16 (/ (* t z) a)) (/ (* x y) a)) (* 1/4 b)))
(* -1/4 (* a b))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(* -1 (* a (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) a)) (* -1/4 b))))
(+ (* 1/16 (* t z)) (* x y))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(* -1/4 (* a b))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(* b (- (+ (* 1/16 (/ (* t z) b)) (/ (* x y) b)) (* 1/4 a)))
(* -1/4 (* a b))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(* -1 (* b (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) b)) (* -1/4 a))))
(* 1/16 (* t z))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* x y)
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x (+ y (* 1/16 (/ (* t z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(* 1/16 (* t z))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* x y)
(* y (+ x (* 1/16 (/ (* t z) y))))
(* y (+ x (* 1/16 (/ (* t z) y))))
(* y (+ x (* 1/16 (/ (* t z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(* x y)
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(* x y)
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(+ (* 1/16 (* t z)) (* x y))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
Outputs
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* 1/16 (* t z))
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(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 1/16 (/ (* t z) x))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1/16 (/ (* t z) x)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 1/16 (/ (* t z) y))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1/16 (/ (* t z) y)))))
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* z (+ (* 1/16 t) (/ (* x y) z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (/ (* x y) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 1/16 (* t z)) (* x y))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* t (+ (* 1/16 z) (/ (* x y) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* 1/16 (* t z))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* t (+ (* -1 (/ (* x y) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))

eval84.0ms (0.7%)

Memory
6.2MiB live, 202.1MiB allocated
Compiler

Compiled 24 573 to 1 527 computations (93.8% saved)

prune181.0ms (1.6%)

Memory
11.5MiB live, 210.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New60612618
Fresh000
Picked101
Done000
Total60712619
Accuracy
100.0%
Counts
619 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 y x (+.f64 (fma.f64 z (*.f64 t #s(literal 1/16 binary64)) (*.f64 (*.f64 a b) #s(literal -1/4 binary64))) c))
25.0%
(fma.f64 x y #s(literal 0 binary64))
73.9%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
98.5%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
74.0%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
77.4%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))
28.0%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
49.1%
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
52.2%
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
52.5%
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
28.2%
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
26.5%
c
Compiler

Compiled 358 to 268 computations (25.1% saved)

simplify11.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t z)
cost-diff0
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
cost-diff192
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
cost-diff0
(*.f64 t z)
cost-diff0
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
cost-diff0
(fma.f64 x y #s(literal 0 binary64))
cost-diff192
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
cost-diff0
(*.f64 t z)
cost-diff0
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
cost-diff0
(*.f64 b #s(literal -1/4 binary64))
cost-diff0
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
Rules
224×accelerator-lowering-fma.f32
224×accelerator-lowering-fma.f64
160×+-lowering-+.f64
160×+-lowering-+.f32
90×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293
14593
29493
314993
417393
017385
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* a (* b -1/4)) (+ (* 1/16 (* t z)) (+ (* x y) c)))
a
(* b -1/4)
b
-1/4
(+ (* 1/16 (* t z)) (+ (* x y) c))
1/16
(* t z)
t
z
(+ (* x y) c)
x
y
c
c
(+ (+ (* x y) 0) c)
(+ (* x y) 0)
x
y
0
c
(+ (* 1/16 (* t z)) 0)
1/16
(* t z)
t
z
0
(+ (+ (* 1/16 (* t z)) 0) c)
(+ (* 1/16 (* t z)) 0)
1/16
(* t z)
t
z
0
c
Outputs
(+ (* a (* b -1/4)) (+ (* 1/16 (* t z)) (+ (* x y) c)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y (fma.f64 t (*.f64 #s(literal 1/16 binary64) z) c)))
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(+ (* 1/16 (* t z)) (+ (* x y) c))
(fma.f64 x y (fma.f64 t (*.f64 #s(literal 1/16 binary64) z) c))
1/16
#s(literal 1/16 binary64)
(* t z)
(*.f64 t z)
t
z
(+ (* x y) c)
(fma.f64 x y c)
x
y
c
c
(+ (+ (* x y) 0) c)
(fma.f64 x y c)
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
c
(+ (* 1/16 (* t z)) 0)
(fma.f64 t (*.f64 #s(literal 1/16 binary64) z) #s(literal 0 binary64))
1/16
#s(literal 1/16 binary64)
(* t z)
(*.f64 t z)
t
z
0
#s(literal 0 binary64)
(+ (+ (* 1/16 (* t z)) 0) c)
(fma.f64 t (*.f64 #s(literal 1/16 binary64) z) c)
(+ (* 1/16 (* t z)) 0)
(fma.f64 t (*.f64 #s(literal 1/16 binary64) z) #s(literal 0 binary64))
1/16
#s(literal 1/16 binary64)
(* t z)
(*.f64 t z)
t
z
0
#s(literal 0 binary64)
c

localize68.0ms (0.6%)

Memory
-22.1MiB live, 136.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
accuracy100.0%
(*.f64 t z)
accuracy99.7%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
accuracy100.0%
(*.f64 t z)
accuracy99.7%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
accuracy100.0%
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
accuracy100.0%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
accuracy100.0%
(*.f64 t z)
accuracy100.0%
(*.f64 b #s(literal -1/4 binary64))
accuracy98.6%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
Samples
41.0ms256×0valid
Compiler

Compiled 94 to 24 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (51.2% of total)
ival-add: 7.0ms (44.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Counts
8 → 300
Calls
Call 1
Inputs
#<alt (+ (* a (* b -1/4)) (+ (* 1/16 (* t z)) (+ (* x y) c)))>
#<alt (* b -1/4)>
#<alt (+ (* 1/16 (* t z)) (+ (* x y) c))>
#<alt (* t z)>
#<alt (+ (+ (* x y) 0) c)>
#<alt (+ (* x y) 0)>
#<alt (+ (* 1/16 (* t z)) 0)>
#<alt (+ (+ (* 1/16 (* t z)) 0) c)>
Outputs
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt c>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (+ c (* x y))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))>
#<alt (* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))>
#<alt (* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))>
#<alt (+ c (* x y))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))>
#<alt (* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))>
#<alt (* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))>
#<alt (* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))>
#<alt (* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))>
#<alt (* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))>
#<alt (* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))>
#<alt (+ (* 1/16 (* t z)) (* x y))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt c>
#<alt (* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))>
#<alt (* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))>
#<alt (* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* x y)>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt c>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<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 (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* 1/16 (* t z))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt c>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
Calls

75 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (+ (* x y) 0) c)
0.0ms
b
@-inf
(* b -1/4)
0.0ms
b
@inf
(* b -1/4)
0.0ms
a
@0
(+ (* a (* b -1/4)) (+ (* 1/16 (* t z)) (+ (* x y) c)))
0.0ms
b
@0
(* b -1/4)

rewrite465.0ms (4%)

Memory
-2.8MiB live, 664.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 312×*-lowering-*.f32
5 312×*-lowering-*.f64
4 144×/-lowering-/.f32
4 144×/-lowering-/.f64
3 280×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02254
112254
2125754
0806947
Stop Event
iter limit
node limit
Counts
8 → 634
Calls
Call 1
Inputs
(+ (* a (* b -1/4)) (+ (* 1/16 (* t z)) (+ (* x y) c)))
(* b -1/4)
(+ (* 1/16 (* t z)) (+ (* x y) c))
(* t z)
(+ (+ (* x y) 0) c)
(+ (* x y) 0)
(+ (* 1/16 (* t z)) 0)
(+ (+ (* 1/16 (* t z)) 0) c)
Outputs
(+.f64 (*.f64 (*.f64 a #s(literal -1/4 binary64)) b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(+.f64 (fma.f64 x y c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)) (fma.f64 x y c))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64))) (+.f64 c (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(+.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)))
(+.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y #s(literal 0 binary64)))) c)
(+.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)) (fma.f64 x y #s(literal 0 binary64))) c)
(+.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)) c) (fma.f64 x y #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 (*.f64 (*.f64 a #s(literal -1/4 binary64)) b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))) (-.f64 (*.f64 (*.f64 a #s(literal -1/4 binary64)) b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(fma.f64 b (*.f64 #s(literal -1/4 binary64) a) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 t (*.f64 z #s(literal 1/16 binary64)) (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64))) (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 (fma.f64 (fma.f64 x y c) (*.f64 (fma.f64 x y c) (fma.f64 x y c)) (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y c) (-.f64 (fma.f64 x y c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)))) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b))
(fma.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))) (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (fma.f64 x y #s(literal 0 binary64))) (*.f64 c (-.f64 c (fma.f64 x y #s(literal 0 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)) (*.f64 (fma.f64 x y c) (fma.f64 x y c))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) (fma.f64 x y c))) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b))
(fma.f64 (*.f64 (fma.f64 x y c) (-.f64 (fma.f64 x y #s(literal 0 binary64)) c)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 (*.f64 a b) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(fma.f64 (*.f64 #s(literal 1/16 binary64) t) z (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(fma.f64 (*.f64 a #s(literal -1/4 binary64)) b (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(fma.f64 (*.f64 #s(literal 1/16 binary64) z) t (+.f64 (fma.f64 x y c) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))) (*.f64 (*.f64 (*.f64 a b) (*.f64 (*.f64 a b) (*.f64 a b))) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))) (*.f64 (*.f64 (*.f64 a b) (*.f64 (*.f64 a b) (*.f64 a b))) #s(literal -1/64 binary64))) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a b) (*.f64 a b))) (*.f64 (*.f64 (*.f64 a #s(literal -1/4 binary64)) b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a b) (*.f64 a b))) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))) (-.f64 (*.f64 (*.f64 a #s(literal -1/4 binary64)) b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))) (*.f64 (*.f64 (*.f64 a b) (*.f64 (*.f64 a b) (*.f64 a b))) #s(literal -1/64 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (*.f64 (*.f64 a #s(literal -1/4 binary64)) b))))))
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(/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 #s(literal 0 binary64) c))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 #s(literal 0 binary64) c))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)))))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z))) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)))))
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(pow.f64 (/.f64 (fma.f64 c (-.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64))) (fma.f64 c (*.f64 c c) (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z))) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (-.f64 #s(literal 0 binary64) c)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (-.f64 #s(literal 0 binary64) c)))) #s(literal -1 binary64))
(*.f64 (fma.f64 c (*.f64 c c) (fma.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))) (fma.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (-.f64 #s(literal 0 binary64) c))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (-.f64 #s(literal 0 binary64) c))))

simplify469.0ms (4.1%)

Memory
9.9MiB live, 724.4MiB allocated
Algorithm
egg-herbie
Rules
17 094×accelerator-lowering-fma.f32
17 094×accelerator-lowering-fma.f64
4 264×*-lowering-*.f32
4 264×*-lowering-*.f64
2 500×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012714
16942702
222832678
362362612
084342260
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* 1/16 (* t z))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* 1/16 (* t z))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(+ c (* x y))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(* t (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (* x y)) t)) (* -1/16 z))))
(+ c (* x y))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(* z (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (* x y)) z)) (* -1/16 t))))
(+ c (* 1/16 (* t z)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* x y)
(* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))
(* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))
(* x (+ y (+ (* 1/16 (/ (* t z) x)) (/ c x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (* 1/16 (* t z))) x)))))
(+ c (* 1/16 (* t z)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(* x y)
(* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))
(* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))
(* y (+ x (+ (* 1/16 (/ (* t z) y)) (/ c y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (* 1/16 (* t z))) y)))))
(+ (* 1/16 (* t z)) (* x y))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
c
(* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))
(* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))
(* c (+ 1 (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c))))
c
(* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* 1/16 (* t z)) (* x y)) c)) 1)))
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* x y)
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
c
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* 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)
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* t (+ (* 1/16 z) (/ c t)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
c
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(* 1/16 (* t z))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* z (+ (* 1/16 t) (/ c z)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(* 1/16 (* t z))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
(+ c (* 1/16 (* t z)))
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
Outputs
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(*.f64 a (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) a) (fma.f64 #s(literal -1/4 binary64) b (/.f64 c a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(*.f64 a (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) a) (fma.f64 #s(literal -1/4 binary64) b (/.f64 c a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(*.f64 a (fma.f64 x (/.f64 y a) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) a) (fma.f64 #s(literal -1/4 binary64) b (/.f64 c a)))))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(*.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal -1/4 binary64) a (fma.f64 z (/.f64 (*.f64 #s(literal 1/16 binary64) t) b) (/.f64 c b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(*.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal -1/4 binary64) a (fma.f64 z (/.f64 (*.f64 #s(literal 1/16 binary64) t) b) (/.f64 c b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(*.f64 b (fma.f64 x (/.f64 y b) (fma.f64 #s(literal -1/4 binary64) a (fma.f64 z (/.f64 (*.f64 #s(literal 1/16 binary64) t) b) (/.f64 c b)))))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a b)) #s(literal 1 binary64) (fma.f64 t (fma.f64 x (/.f64 y t) (*.f64 #s(literal 1/16 binary64) z)) c))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a b)) #s(literal 1 binary64) (fma.f64 t (fma.f64 x (/.f64 y t) (*.f64 #s(literal 1/16 binary64) z)) c))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a b)) #s(literal 1 binary64) (fma.f64 t (fma.f64 x (/.f64 y t) (*.f64 #s(literal 1/16 binary64) z)) c))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) #s(literal 1 binary64)))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) #s(literal 1 binary64)))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) #s(literal 1 binary64)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a b)) #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 (*.f64 x y) z)) c))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a b)) #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 (*.f64 x y) z)) c))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 a b)) #s(literal 1 binary64) (fma.f64 z (fma.f64 #s(literal 1/16 binary64) t (/.f64 (*.f64 x y) z)) c))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
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(*.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)
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
c
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* t (+ (* 1/16 z) (/ c t)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* t (+ (* 1/16 z) (/ c t)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* t (+ (* 1/16 z) (/ c t)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
c
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* 1/16 (* t z))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(+ c (* 1/16 (* t z)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) c)

eval181.0ms (1.6%)

Memory
-38.2MiB live, 305.0MiB allocated
Compiler

Compiled 43 616 to 2 418 computations (94.5% saved)

prune187.0ms (1.6%)

Memory
18.9MiB live, 289.8MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 04591 054
Fresh527
Picked415
Done000
Total1 054121 066
Accuracy
100.0%
Counts
1 066 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
49.1%
(fma.f64 y x c)
97.3%
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
53.9%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
49.8%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
52.5%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
74.0%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
49.1%
(+.f64 (*.f64 y x) c)
28.3%
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
25.0%
(*.f64 x y)
28.2%
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
26.5%
c
Compiler

Compiled 312 to 235 computations (24.7% saved)

simplify10.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t z)
cost-diff0
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
cost-diff0
(*.f64 #s(literal 1/16 binary64) z)
cost-diff0
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
cost-diff0
(*.f64 y x)
cost-diff128
(+.f64 (*.f64 y x) c)
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
cost-diff0
(*.f64 t z)
cost-diff0
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
cost-diff0
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
Rules
196×accelerator-lowering-fma.f32
196×accelerator-lowering-fma.f64
100×+-lowering-+.f64
100×+-lowering-+.f32
52×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02393
14793
27793
310893
411893
011885
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x y) (+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c)))
x
y
(+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c))
1/16
(* t z)
t
z
(+ (* -1/4 (* a b)) c)
-1/4
(* a b)
a
b
c
(* x y)
x
y
(+ (* y x) c)
(* y x)
y
x
c
(* (* 1/16 z) t)
(* 1/16 z)
1/16
z
t
(+ (* (* t z) 1/16) c)
(* t z)
t
z
1/16
c
Outputs
(+ (* x y) (+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)))
x
y
(+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
1/16
#s(literal 1/16 binary64)
(* t z)
(*.f64 t z)
t
z
(+ (* -1/4 (* a b)) c)
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
-1/4
#s(literal -1/4 binary64)
(* a b)
(*.f64 a b)
a
b
c
(* x y)
(*.f64 x y)
x
y
(+ (* y x) c)
(fma.f64 x y c)
(* y x)
(*.f64 x y)
y
x
c
(* (* 1/16 z) t)
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 z)
(*.f64 #s(literal 1/16 binary64) z)
1/16
#s(literal 1/16 binary64)
z
t
(+ (* (* t z) 1/16) c)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* t z)
(*.f64 t z)
t
z
1/16
#s(literal 1/16 binary64)
c

localize66.0ms (0.6%)

Memory
-25.3MiB live, 130.0MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 t z)
accuracy99.7%
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
accuracy100.0%
(*.f64 #s(literal 1/16 binary64) z)
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(+.f64 (*.f64 y x) c)
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 t z)
accuracy100.0%
(*.f64 a b)
accuracy99.4%
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
accuracy98.0%
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
Samples
39.0ms256×0valid
Compiler

Compiled 88 to 25 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (65.5% of total)
ival-add: 6.0ms (30.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
11 → 384
Calls
Call 1
Inputs
#<alt (+ (* x y) (+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c)))>
#<alt (+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c))>
#<alt (* t z)>
#<alt (+ (* -1/4 (* a b)) c)>
#<alt (* x y)>
#<alt (+ (* y x) c)>
#<alt (* y x)>
#<alt (* (* 1/16 z) t)>
#<alt (* 1/16 z)>
#<alt (+ (* (* t z) 1/16) c)>
#<alt (* a b)>
Outputs
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))>
#<alt (* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))>
#<alt (* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))>
#<alt (+ c (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))>
#<alt (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt (+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))>
#<alt c>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ c z))))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ c z))))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ c z))))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (* -1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (* -1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ c (* -1/4 (* a b))) z)) (* -1/16 t))))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ c a))))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ c a))))>
#<alt (* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ c a))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (* 1/16 (* t z))) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (* 1/16 (* t z))) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ c (* 1/16 (* t z))) a)) (* 1/4 b))))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ c b))))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ c b))))>
#<alt (* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ c b))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (* 1/16 (* t z))) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (* 1/16 (* t z))) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (+ c (* 1/16 (* t z))) b)) (* 1/4 a))))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))>
#<alt c>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (* 1/16 (/ (* t z) c)))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (* 1/16 (/ (* t z) c)))))>
#<alt (* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (* 1/16 (/ (* t z) c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) c)) 1)))>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt (* t z)>
#<alt c>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt c>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1/4 (* a b))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt c>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt c>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<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 c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* x y)>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt c>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<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 (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt (* 1/16 z)>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* t (+ (* 1/16 z) (/ c t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt (* -1 (* t (+ (* -1 (/ c t)) (* -1/16 z))))>
#<alt c>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* z (+ (* 1/16 t) (/ c z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))>
#<alt (* 1/16 (* t z))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt (+ c (* 1/16 (* t z)))>
#<alt c>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt (* c (+ 1 (* 1/16 (/ (* t z) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
Calls

96 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(* 1/16 z)
0.0ms
z
@-inf
(* 1/16 z)
0.0ms
a
@-inf
(* a b)
0.0ms
b
@-inf
(* a b)
0.0ms
z
@0
(* 1/16 z)

rewrite837.0ms (7.3%)

Memory
-13.2MiB live, 1 092.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
17 550×accelerator-lowering-fma.f32
17 550×accelerator-lowering-fma.f64
5 670×*-lowering-*.f32
5 670×*-lowering-*.f64
3 294×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02369
111469
288769
0884261
Stop Event
iter limit
node limit
Counts
11 → 412
Calls
Call 1
Inputs
(+ (* x y) (+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c)))
(+ (* 1/16 (* t z)) (+ (* -1/4 (* a b)) c))
(* t z)
(+ (* -1/4 (* a b)) c)
(* x y)
(+ (* y x) c)
(* y x)
(* (* 1/16 z) t)
(* 1/16 z)
(+ (* (* t z) 1/16) c)
(* a b)
Outputs
(+.f64 (*.f64 x y) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) (fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)))
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)))
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (+.f64 c (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (*.f64 x y)))
(+.f64 c (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 a (*.f64 b #s(literal -1/4 binary64)))) (*.f64 x y)))
(+.f64 c (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z))))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (*.f64 x y))
(+.f64 (fma.f64 x y c) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 a (*.f64 b #s(literal -1/4 binary64)))))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y)))
(+.f64 (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z))) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 a (*.f64 b #s(literal -1/4 binary64)))) (fma.f64 x y c))
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (fma.f64 (*.f64 t z) #s(literal -1/16 binary64) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))) (fma.f64 x y (fma.f64 (*.f64 t z) #s(literal -1/16 binary64) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c)))))))
(+.f64 (fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 a (*.f64 b #s(literal -1/4 binary64))))) c)
(+.f64 (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(+.f64 (fma.f64 x y (*.f64 a (*.f64 b #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 a (*.f64 b #s(literal -1/4 binary64)))) (*.f64 x y)) c)
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (fma.f64 (*.f64 t z) #s(literal -1/16 binary64) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))) (fma.f64 x y (fma.f64 (*.f64 t z) #s(literal -1/16 binary64) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))))))
(-.f64 (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c)))) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))) (fma.f64 (*.f64 t z) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))) (*.f64 x y)))
(-.f64 (/.f64 (*.f64 (*.f64 a b) (*.f64 #s(literal 1/16 binary64) (*.f64 a b))) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)) (-.f64 (/.f64 (*.f64 c c) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (*.f64 x y))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (*.f64 x y))))
(-.f64 (/.f64 (*.f64 (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z))) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))) (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)) (fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))))))
(-.f64 (fma.f64 x y (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c) (fma.f64 (*.f64 a b) #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) c))) (fma.f64 (*.f64 t z) #s(literal -1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c))))
(-.f64 (+.f64 (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z))) (/.f64 (*.f64 (*.f64 a b) (*.f64 #s(literal 1/16 binary64) (*.f64 a b))) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c))) (/.f64 (*.f64 c c) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)))
(-.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 a (*.f64 b #s(literal -1/4 binary64)))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) c))) (/.f64 (*.f64 c c) (-.f64 (*.f64 x y) c)))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(fma.f64 y x (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
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(/.f64 (neg.f64 (fma.f64 c c (*.f64 #s(literal -1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z))))) (neg.f64 (-.f64 c (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (fma.f64 (/.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (/.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (*.f64 (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (/.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c))) (*.f64 (/.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (/.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)))) (+.f64 (/.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)) (/.f64 (*.f64 c c) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)) #s(literal -1 binary64))
(*.f64 (fma.f64 c (*.f64 c c) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal 1/4096 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z)) (*.f64 c (-.f64 c (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))))
(*.f64 (fma.f64 c (*.f64 c c) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal 1/4096 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)))))
(*.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z))) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c c) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal 1/4096 binary64) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t z) (*.f64 #s(literal 1/256 binary64) (*.f64 t z)) (*.f64 c (-.f64 c (*.f64 #s(literal 1/16 binary64) (*.f64 t z))))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) c))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(*.f64 (fma.f64 c c (*.f64 #s(literal -1/256 binary64) (*.f64 (*.f64 t z) (*.f64 t z)))) (/.f64 #s(literal 1 binary64) (-.f64 c (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(*.f64 a b)
(*.f64 b a)

simplify624.0ms (5.4%)

Memory
28.1MiB live, 821.5MiB allocated
Algorithm
egg-herbie
Rules
18 600×accelerator-lowering-fma.f32
18 600×accelerator-lowering-fma.f64
4 368×*-lowering-*.f32
4 368×*-lowering-*.f64
2 090×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02253126
17643114
224893102
366043030
083762651
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* 1/16 (* t z))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* 1/16 (* t z))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(+ c (* -1/4 (* a b)))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(* 1/16 (* t z))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))
(* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))
(+ c (* -1/4 (* a b)))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(* 1/16 (* t z))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ c z))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ c z))))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (/ c z))))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1 (/ (+ c (* -1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (* -1/4 (* a b))) z)) (* -1/16 t))))
(* -1 (* z (+ (* -1 (/ (+ c (* -1/4 (* a b))) z)) (* -1/16 t))))
(+ c (* 1/16 (* t z)))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ c a))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ c a))))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (/ c a))))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ (+ c (* 1/16 (* t z))) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (* 1/16 (* t z))) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (+ c (* 1/16 (* t z))) a)) (* 1/4 b))))
(+ c (* 1/16 (* t z)))
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(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ c b))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ c b))))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (/ c b))))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ (+ c (* 1/16 (* t z))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (* 1/16 (* t z))) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (+ c (* 1/16 (* t z))) b)) (* 1/4 a))))
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(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (* 1/16 (/ (* t z) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (* 1/16 (/ (* t z) c)))))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (* 1/16 (/ (* t z) c)))))
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (* 1/16 (* t z))) c)) 1)))
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
(* t z)
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(* t z)
(* t z)
c
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (/ c a)))
(* a (+ (* -1/4 b) (/ c a)))
(* a (+ (* -1/4 b) (/ c a)))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
c
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (/ c b)))
(* b (+ (* -1/4 a) (/ c b)))
(* b (+ (* -1/4 a) (/ c b)))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(* -1/4 (* a b))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
c
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(* c (+ 1 (* -1/4 (/ (* a b) c))))
c
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* x y)
(* x y)
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(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
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(* x y)
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c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* x y)
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
c
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* 1/16 (* t z))
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c
(+ c (* 1/16 (* t z)))
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(* t (+ (* 1/16 z) (/ c t)))
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c
(+ c (* 1/16 (* t z)))
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(* 1/16 (* t z))
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c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(* c (+ 1 (* 1/16 (/ (* t z) c))))
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
Outputs
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(fma.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) x) y)) c)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(fma.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) x) y)) c)
(* x (+ y (+ (* -1/4 (/ (* a b) x)) (+ (* 1/16 (/ (* t z) x)) (/ c x)))))
(fma.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) x) y)) c)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) x)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) y) x)) c)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) y) x)) c)
(* y (+ x (+ (* -1/4 (/ (* a b) y)) (+ (* 1/16 (/ (* t z) y)) (/ c y)))))
(fma.f64 y (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) y) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a b) y) x)) c)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z)))) y)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 t (fma.f64 #s(literal 1/16 binary64) z (*.f64 x (/.f64 y t))) c))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 t (fma.f64 #s(literal 1/16 binary64) z (*.f64 x (/.f64 y t))) c))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (+ (/ c t) (/ (* x y) t)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 t (fma.f64 #s(literal 1/16 binary64) z (*.f64 x (/.f64 y t))) c))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* t (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) t)) (* -1/16 z))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) #s(literal 1 binary64)))
(+ c (+ (* -1/4 (* a b)) (* x y)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 z (fma.f64 x (/.f64 y z) (*.f64 #s(literal 1/16 binary64) t)) c))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 z (fma.f64 x (/.f64 y z) (*.f64 #s(literal 1/16 binary64) t)) c))
(* z (+ (* -1/4 (/ (* a b) z)) (+ (* 1/16 t) (+ (/ c z) (/ (* x y) z)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 z (fma.f64 x (/.f64 y z) (*.f64 #s(literal 1/16 binary64) t)) c))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (+ c (+ (* -1/4 (* a b)) (* x y))) z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 x y c)) #s(literal 1 binary64)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(fma.f64 a (fma.f64 #s(literal -1/4 binary64) b (fma.f64 x (/.f64 y a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) a))) c)
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(fma.f64 a (fma.f64 #s(literal -1/4 binary64) b (fma.f64 x (/.f64 y a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) a))) c)
(* a (+ (* -1/4 b) (+ (* 1/16 (/ (* t z) a)) (+ (/ c a) (/ (* x y) a)))))
(fma.f64 a (fma.f64 #s(literal -1/4 binary64) b (fma.f64 x (/.f64 y a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 t z)) a))) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* a (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) #s(literal 1 binary64)))
(+ c (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) b) (/.f64 (*.f64 x y) b))) c)
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) b) (/.f64 (*.f64 x y) b))) c)
(* b (+ (* -1/4 a) (+ (* 1/16 (/ (* t z) b)) (+ (/ c b) (/ (* x y) b)))))
(fma.f64 b (fma.f64 #s(literal -1/4 binary64) a (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 t z) b) (/.f64 (*.f64 x y) b))) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 (/ (+ c (+ (* 1/16 (* t z)) (* x y))) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) #s(literal 1 binary64)))
(+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 x y)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(+ c (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
c
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(* c (+ 1 (+ (* -1/4 (/ (* a b) c)) (+ (* 1/16 (/ (* t z) c)) (/ (* x y) c)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
c
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(fma.f64 c (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 x y))) c) c)
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(fma.f64 c (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 x y))) c) c)
(* -1 (* c (- (* -1 (/ (+ (* -1/4 (* a b)) (+ (* 1/16 (* t z)) (* x y))) c)) 1)))
(fma.f64 c (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 x y))) c) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(* t (+ (* -1/4 (/ (* a b) t)) (+ (* 1/16 z) (/ c t))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(* -1 (* t (+ (* -1 (/ (+ c (* -1/4 (* a b))) t)) (* -1/16 z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (+ (* -1/4 (* a b)) (* 1/16 (* t z))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c))
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(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* z (+ (* 1/16 t) (/ c z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* z (+ (* -1 (/ c z)) (* -1/16 t))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(+ c (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
c
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* c (+ 1 (* 1/16 (/ (* t z) c))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
c
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* -1 (* c (- (* -1/16 (/ (* t z) c)) 1)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) c)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval111.0ms (1%)

Memory
-24.5MiB live, 235.0MiB allocated
Compiler

Compiled 21 173 to 1 211 computations (94.3% saved)

prune193.0ms (1.7%)

Memory
15.9MiB live, 175.9MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New8202822
Fresh246
Picked145
Done011
Total82311834
Accuracy
100.0%
Counts
834 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
49.1%
(fma.f64 y x c)
50.0%
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
49.0%
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
53.9%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
52.5%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
49.1%
(+.f64 (*.f64 y x) c)
28.3%
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
25.0%
(*.f64 x y)
28.2%
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
26.5%
c
Compiler

Compiled 221 to 170 computations (23.1% saved)

simplify139.0ms (1.2%)

Memory
-30.4MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a b)
cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
cost-diff0
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
cost-diff0
(*.f64 b #s(literal -1/4 binary64))
cost-diff0
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
cost-diff0
(*.f64 b #s(literal -1/4 binary64))
cost-diff0
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
cost-diff0
(fma.f64 y x c)
cost-diff0
(*.f64 #s(literal 1/16 binary64) t)
cost-diff0
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
cost-diff0
(*.f64 b #s(literal -1/4 binary64))
cost-diff0
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
Rules
56×accelerator-lowering-fma.f32
56×accelerator-lowering-fma.f64
52×*-lowering-*.f32
52×*-lowering-*.f64
22×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183
13783
24883
35083
05079
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* a (* b -1/4)) (* z (* 1/16 t)))
a
(* b -1/4)
b
-1/4
(* z (* 1/16 t))
z
(* 1/16 t)
1/16
t
(+ (* y x) c)
y
x
c
(* a (* b -1/4))
a
(* b -1/4)
b
-1/4
(+ (* a (* b -1/4)) c)
a
(* b -1/4)
b
-1/4
c
(+ (* x y) (* -1/4 (* a b)))
x
y
(* -1/4 (* a b))
-1/4
(* a b)
a
b
Outputs
(+ (* a (* b -1/4)) (* z (* 1/16 t)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(* z (* 1/16 t))
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
z
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
1/16
#s(literal 1/16 binary64)
t
(+ (* y x) c)
(fma.f64 y x c)
y
x
c
(* a (* b -1/4))
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(+ (* a (* b -1/4)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
a
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
c
(+ (* x y) (* -1/4 (* a b)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x))
x
y
(* -1/4 (* a b))
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* a b)
(*.f64 a b)
a
b

localize110.0ms (1%)

Memory
3.3MiB live, 81.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a b)
accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
accuracy99.2%
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
accuracy100.0%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
accuracy100.0%
(*.f64 b #s(literal -1/4 binary64))
accuracy100.0%
(*.f64 b #s(literal -1/4 binary64))
accuracy100.0%
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
accuracy100.0%
(fma.f64 y x c)
accuracy100.0%
(*.f64 z (*.f64 #s(literal 1/16 binary64) t))
accuracy100.0%
(*.f64 b #s(literal -1/4 binary64))
accuracy100.0%
(*.f64 #s(literal 1/16 binary64) t)
accuracy100.0%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
Samples
70.0ms256×0valid
Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 41.0ms (76.7% of total)
ival-mult: 12.0ms (22.5% 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
14.2MiB live, 14.2MiB allocated
Counts
10 → 288
Calls
Call 1
Inputs
#<alt (+ (* a (* b -1/4)) (* z (* 1/16 t)))>
#<alt (* b -1/4)>
#<alt (* z (* 1/16 t))>
#<alt (* 1/16 t)>
#<alt (+ (* y x) c)>
#<alt (* a (* b -1/4))>
#<alt (+ (* a (* b -1/4)) c)>
#<alt (+ (* x y) (* -1/4 (* a b)))>
#<alt (* -1/4 (* a b))>
#<alt (* a b)>
Outputs
#<alt (* 1/16 (* t z))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))>
#<alt (* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))>
#<alt (* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))>
#<alt (* 1/16 (* t z))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))>
#<alt (* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))>
#<alt (* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))>
#<alt (* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))>
#<alt (* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))>
#<alt (* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (+ (* -1/4 (* a b)) (* 1/16 (* t z)))>
#<alt (* 1/16 (* t z))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))>
#<alt (* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))>
#<alt (* 1/16 (* t z))>
#<alt (* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))>
#<alt (* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))>
#<alt (* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 (* t z))>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt (* 1/16 t)>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* y (+ x (/ c y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))>
#<alt c>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x (+ y (/ c x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))>
#<alt (* x y)>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt (+ c (* x y))>
#<alt c>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt (* c (+ 1 (/ (* x y) c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* x y) c)) 1)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt c>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* a (+ (* -1/4 b) (/ c a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))>
#<alt c>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* b (+ (* -1/4 a) (/ c b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))>
#<alt (* -1/4 (* a b))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt (+ c (* -1/4 (* a b)))>
#<alt c>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt (* c (+ 1 (* -1/4 (/ (* a b) c))))>
#<alt c>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/4 (/ (* a b) x))))>
#<alt (* x (+ y (* -1/4 (/ (* a b) x))))>
#<alt (* x (+ y (* -1/4 (/ (* a b) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))>
#<alt (* -1/4 (* a b))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/4 (/ (* a b) y))))>
#<alt (* y (+ x (* -1/4 (/ (* a b) y))))>
#<alt (* y (+ x (* -1/4 (/ (* a b) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))>
#<alt (* x y)>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (/ (* x y) a)))>
#<alt (* a (+ (* -1/4 b) (/ (* x y) a)))>
#<alt (* a (+ (* -1/4 b) (/ (* x y) a)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))>
#<alt (* x y)>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (+ (* -1/4 (* a b)) (* x y))>
#<alt (* -1/4 (* a b))>
#<alt (* b (+ (* -1/4 a) (/ (* x y) b)))>
#<alt (* b (+ (* -1/4 a) (/ (* x y) b)))>
#<alt (* b (+ (* -1/4 a) (/ (* x y) b)))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))>
#<alt (* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* -1/4 (* a b))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
Calls

72 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(+ (* a (* b -1/4)) (* z (* 1/16 t)))
0.0ms
t
@inf
(* 1/16 t)
0.0ms
t
@-inf
(* 1/16 t)
0.0ms
b
@0
(* a (* b -1/4))
0.0ms
t
@0
(* 1/16 t)

rewrite762.0ms (6.6%)

Memory
3.7MiB live, 842.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
16 836×accelerator-lowering-fma.f32
16 836×accelerator-lowering-fma.f64
7 008×*-lowering-*.f32
7 008×*-lowering-*.f64
2 508×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02156
19056
262956
3718456
0850152
Stop Event
iter limit
node limit
Counts
10 → 342
Calls
Call 1
Inputs
(+ (* a (* b -1/4)) (* z (* 1/16 t)))
(* b -1/4)
(* z (* 1/16 t))
(* 1/16 t)
(+ (* y x) c)
(* a (* b -1/4))
(+ (* a (* b -1/4)) c)
(+ (* x y) (* -1/4 (* a b)))
(* -1/4 (* a b))
(* a b)
Outputs
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(+.f64 (*.f64 z (*.f64 #s(literal 1/16 binary64) t)) (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))))
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 z (*.f64 #s(literal 1/16 binary64) t) (*.f64 a (*.f64 b #s(literal 1/4 binary64))))) (/.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (fma.f64 z (*.f64 #s(literal 1/16 binary64) t) (*.f64 a (*.f64 b #s(literal 1/4 binary64))))))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 a (/.f64 (*.f64 a (*.f64 #s(literal 1/16 binary64) (*.f64 b b))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 b (*.f64 a #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 a (*.f64 a b)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 b #s(literal -1/4 binary64)) a (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 (*.f64 b #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 b #s(literal -1/4 binary64)) (*.f64 a a)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (/.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 z (*.f64 #s(literal 1/16 binary64) t) (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 z t) (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 b (*.f64 a (*.f64 a b))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 t (*.f64 z #s(literal 1/16 binary64)) (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) t) z (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (*.f64 a b) #s(literal -1/4 binary64) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 (*.f64 a b) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a b)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 z #s(literal 1/16 binary64)) t (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (*.f64 a #s(literal -1/4 binary64)) b (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 (*.f64 a #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 b #s(literal -1/4 binary64)) (*.f64 a b)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (/.f64 (*.f64 a a) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 b (*.f64 a (*.f64 a b))) (/.f64 #s(literal 1/16 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a a)) (/.f64 (*.f64 b b) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (/.f64 b (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 z t) #s(literal 1/16 binary64) (*.f64 a (*.f64 b #s(literal -1/4 binary64))))
(fma.f64 (*.f64 a (*.f64 #s(literal 1/16 binary64) (*.f64 b b))) (/.f64 a (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (*.f64 a (*.f64 a b)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 (*.f64 b #s(literal -1/4 binary64)) (*.f64 a a)) (/.f64 (*.f64 b #s(literal -1/4 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a b)) (/.f64 (*.f64 a b) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (fma.f64 (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))) (neg.f64 t) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (-.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b))))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/4096 binary64)) (*.f64 t (*.f64 t t))))) (fma.f64 a (*.f64 a (*.f64 #s(literal 1/16 binary64) (*.f64 b b))) (*.f64 (*.f64 z (*.f64 #s(literal 1/16 binary64) t)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t))))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/4096 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a b) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a b)) (*.f64 #s(literal -1/64 binary64) (*.f64 z t))) (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))) (neg.f64 t) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/4096 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b))))))) (fma.f64 (*.f64 a b) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a b)) (*.f64 #s(literal -1/64 binary64) (*.f64 z t))) (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))) (neg.f64 t) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/4096 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))))) (fma.f64 (*.f64 a b) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a b)) (*.f64 #s(literal -1/64 binary64) (*.f64 z t))) (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))))))
(/.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))) (neg.f64 t) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/4096 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 a b) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a b)) (*.f64 #s(literal -1/64 binary64) (*.f64 z t))) (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))) (neg.f64 t) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))))) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 (*.f64 z t) #s(literal -1/16 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b))))) (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))))) (*.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/4096 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/4096 binary64)) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/4096 binary64)) (*.f64 t (*.f64 t t)))))) (*.f64 (fma.f64 (*.f64 a b) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a b)) (*.f64 #s(literal -1/64 binary64) (*.f64 z t))) (*.f64 t (*.f64 t (*.f64 (*.f64 z z) #s(literal 1/256 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/4096 binary64)) (*.f64 t (*.f64 t t))) (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/4096 binary64)) (*.f64 t (*.f64 t t))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))))) (*.f64 #s(literal 1/4096 binary64) (*.f64 (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))))
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(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))))) (fma.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))))) (fma.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))))) (fma.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (*.f64 y (*.f64 y (*.f64 x x)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (*.f64 y (*.f64 y (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 b (*.f64 a (*.f64 a b))) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)))) (fma.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))) (*.f64 y (*.f64 y (*.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)) (-.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (*.f64 y (*.f64 y (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x)) (*.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)))))
(*.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x)) (/.f64 (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))))))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))) (*.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))))))
(*.f64 (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))) (/.f64 (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x)) (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))))))
(*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 b (*.f64 a (*.f64 a b))) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 b (*.f64 a (*.f64 a b))) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 b (*.f64 a (*.f64 a b))) #s(literal -1/16 binary64))))
(*.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 b (*.f64 a (*.f64 a b))) #s(literal -1/16 binary64))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 b (*.f64 a (*.f64 a b))) #s(literal -1/16 binary64)))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))))) (fma.f64 (*.f64 a (*.f64 (*.f64 b #s(literal -1/4 binary64)) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)))) (*.f64 (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a)))) (*.f64 (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x))))))))) (fma.f64 (*.f64 a (*.f64 (*.f64 b #s(literal -1/4 binary64)) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)))) (-.f64 (*.f64 a (*.f64 (*.f64 b #s(literal -1/4 binary64)) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b)))) (*.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 y x) (fma.f64 a (*.f64 b #s(literal 1/4 binary64)) (*.f64 y x)) (*.f64 b (*.f64 b (*.f64 #s(literal 1/16 binary64) (*.f64 a a))))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 a (*.f64 b #s(literal 1/4 binary64))) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)))))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 a (*.f64 b #s(literal 1/4 binary64))) (-.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (*.f64 y x)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 (*.f64 b (*.f64 a (*.f64 a b))) #s(literal -1/16 binary64))) (fma.f64 y (*.f64 x (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a b) (*.f64 b (*.f64 a (*.f64 a b))))))) (fma.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 y x)) (*.f64 y (*.f64 y (*.f64 x x)))))
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 b (*.f64 a #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(*.f64 (*.f64 b #s(literal -1/4 binary64)) a)
(*.f64 (*.f64 a b) #s(literal -1/4 binary64))
(*.f64 (*.f64 a #s(literal -1/4 binary64)) b)
(*.f64 a b)
(*.f64 b a)

simplify619.0ms (5.4%)

Memory
10.2MiB live, 441.3MiB allocated
Algorithm
egg-herbie
Rules
8 926×accelerator-lowering-fma.f32
8 926×accelerator-lowering-fma.f64
6 590×*-lowering-*.f32
6 590×*-lowering-*.f64
1 806×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371704
14721704
214711704
341331704
086701578
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 1/16 (* t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(* 1/16 (* t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* -1/4 (* a b))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* 1/16 (* t z))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(* 1/16 (* t z))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(* 1/16 (* t z))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(* 1/16 (* t z))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
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(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 (* t z))
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
(* 1/16 t)
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* y (+ x (/ c y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
c
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
(* x y)
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x (+ y (/ c x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(* x y)
(+ c (* x y))
(+ c (* x y))
(+ c (* x y))
c
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
(* c (+ 1 (/ (* x y) c)))
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(* -1/4 (* a b))
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(* -1/4 (* a b))
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c
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(+ c (* -1/4 (* a b)))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (/ c a)))
(* a (+ (* -1/4 b) (/ c a)))
(* a (+ (* -1/4 b) (/ c a)))
(* -1/4 (* a b))
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(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
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c
(+ c (* -1/4 (* a b)))
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(+ c (* -1/4 (* a b)))
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(+ c (* -1/4 (* a b)))
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(+ c (* -1/4 (* a b)))
c
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(* c (+ 1 (* -1/4 (/ (* a b) c))))
c
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
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(* x (+ y (* -1/4 (/ (* a b) x))))
(* x (+ y (* -1/4 (/ (* a b) x))))
(* x (+ y (* -1/4 (/ (* a b) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(* -1/4 (* a b))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
(* x y)
(* y (+ x (* -1/4 (/ (* a b) y))))
(* y (+ x (* -1/4 (/ (* a b) y))))
(* y (+ x (* -1/4 (/ (* a b) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(* x y)
(+ (* -1/4 (* a b)) (* x y))
(+ (* -1/4 (* a b)) (* x y))
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(* -1/4 (* a b))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
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(+ (* -1/4 (* a b)) (* x y))
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(* b (+ (* -1/4 a) (/ (* x y) b)))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(* -1/4 (* a b))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* -1/4 (* a b))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
Outputs
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* a (+ (* -1/4 b) (* 1/16 (/ (* t z) a))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* a (+ (* -1/16 (/ (* t z) a)) (* 1/4 b))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* b (+ (* -1/4 a) (* 1/16 (/ (* t z) b))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* b (+ (* -1/16 (/ (* t z) b)) (* 1/4 a))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* z (+ (* -1/4 (/ (* a b) z)) (* 1/16 t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* z (+ (* -1/16 t) (* 1/4 (/ (* a b) z)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(+ (* -1/4 (* a b)) (* 1/16 (* t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* t (+ (* -1/4 (/ (* a b) t)) (* 1/16 z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1 (* t (+ (* -1/16 z) (* 1/4 (/ (* a b) t)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 (* t z))
(*.f64 #s(literal 1/16 binary64) (*.f64 t z))
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
(* 1/16 t)
(*.f64 #s(literal 1/16 binary64) t)
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* y (+ x (/ c y)))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
(* -1 (* y (+ (* -1 x) (* -1 (/ c y)))))
(fma.f64 x y c)
c
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x (+ y (/ c x)))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* -1 (* x (+ (* -1 y) (* -1 (/ c x)))))
(fma.f64 x y c)
(* x y)
(*.f64 x y)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
(+ c (* x y))
(fma.f64 x y c)
c
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
(* c (+ 1 (/ (* x y) c)))
(fma.f64 x y c)
c
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* -1 (* c (- (* -1 (/ (* x y) c)) 1)))
(fma.f64 x y c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
c
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* a (+ (* -1/4 b) (/ c a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* a (+ (* -1/4 b) (/ c a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* a (+ (* -1/4 b) (/ c a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* a (+ (* -1 (/ c a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
c
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* b (+ (* -1/4 a) (/ c b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* b (+ (* -1/4 a) (/ c b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* b (+ (* -1/4 a) (/ c b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* b (+ (* -1 (/ c b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(+ c (* -1/4 (* a b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
c
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* c (+ 1 (* -1/4 (/ (* a b) c))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
c
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1 (* c (- (* 1/4 (/ (* a b) c)) 1)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (* -1/4 (/ (* a b) x))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x (+ y (* -1/4 (/ (* a b) x))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x (+ y (* -1/4 (/ (* a b) x))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* 1/4 (/ (* a b) x)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/4 (/ (* a b) y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* y (+ x (* -1/4 (/ (* a b) y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* y (+ x (* -1/4 (/ (* a b) y))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* 1/4 (/ (* a b) y)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* a (+ (* -1/4 b) (/ (* x y) a)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* a (+ (* -1 (/ (* x y) a)) (* 1/4 b))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(+ (* -1/4 (* a b)) (* x y))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* b (+ (* -1/4 a) (/ (* x y) b)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1 (* b (+ (* -1 (/ (* x y) b)) (* 1/4 a))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 a b) (*.f64 x y))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* -1/4 (* a b))
(*.f64 #s(literal -1/4 binary64) (*.f64 a b))
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval80.0ms (0.7%)

Memory
15.2MiB live, 172.7MiB allocated
Compiler

Compiled 16 113 to 872 computations (94.6% saved)

prune100.0ms (0.9%)

Memory
-5.9MiB live, 189.6MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New6580658
Fresh011
Picked055
Done055
Total65811669
Accuracy
100.0%
Counts
669 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
49.1%
(fma.f64 y x c)
50.0%
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
49.0%
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
53.9%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
52.5%
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
49.1%
(+.f64 (*.f64 y x) c)
28.3%
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
25.0%
(*.f64 x y)
28.2%
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
26.5%
c
Compiler

Compiled 334 to 163 computations (51.2% saved)

regimes163.0ms (1.4%)

Memory
-3.8MiB live, 275.8MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(fma.f64 x y (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 #s(literal -1/4 binary64) (*.f64 a b) c)))
(fma.f64 y x (+.f64 (fma.f64 z (*.f64 t #s(literal 1/16 binary64)) (*.f64 (*.f64 a b) #s(literal -1/4 binary64))) c))
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
Outputs
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
Calls

15 calls:

48.0ms
t
15.0ms
y
8.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
8.0ms
(*.f64 a b)
8.0ms
b
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1a
98.5%1b
98.5%1c
98.5%1(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
98.5%1(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
98.5%1(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
98.5%1(*.f64 x y)
98.5%1(/.f64 (*.f64 z t) #s(literal 16 binary64))
98.5%1(*.f64 z t)
98.5%1(/.f64 (*.f64 a b) #s(literal 4 binary64))
98.5%1(*.f64 a b)
Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes149.0ms (1.3%)

Memory
-26.4MiB live, 163.8MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))
Outputs
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
Calls

15 calls:

31.0ms
c
25.0ms
(*.f64 x y)
7.0ms
(/.f64 (*.f64 a b) #s(literal 4 binary64))
7.0ms
y
7.0ms
a
Results
AccuracySegmentsBranch
91.2%3x
90.4%3y
88.1%3z
88.0%3t
87.4%3a
90.6%3b
86.9%4c
79.3%2(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
79.3%2(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
91.2%3(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
93.8%3(*.f64 x y)
91.5%3(/.f64 (*.f64 z t) #s(literal 16 binary64))
91.5%3(*.f64 z t)
92.5%3(/.f64 (*.f64 a b) #s(literal 4 binary64))
92.5%3(*.f64 a b)
Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes22.0ms (0.2%)

Memory
-0.4MiB live, 36.5MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 z (*.f64 #s(literal 1/16 binary64) t)))
Outputs
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))
Calls

3 calls:

9.0ms
(*.f64 a b)
6.0ms
(*.f64 x y)
6.0ms
(/.f64 (*.f64 a b) #s(literal 4 binary64))
Results
AccuracySegmentsBranch
92.5%3(/.f64 (*.f64 a b) #s(literal 4 binary64))
92.5%3(*.f64 a b)
80.3%2(*.f64 x y)
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes49.0ms (0.4%)

Memory
20.1MiB live, 96.1MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
Outputs
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c))
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
Calls

8 calls:

8.0ms
x
8.0ms
(*.f64 z t)
6.0ms
y
6.0ms
(/.f64 (*.f64 z t) #s(literal 16 binary64))
5.0ms
b
Results
AccuracySegmentsBranch
74.0%1y
86.6%3b
77.4%3x
86.6%3(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
74.0%1(/.f64 (*.f64 z t) #s(literal 16 binary64))
74.0%1(*.f64 z t)
89.6%3(/.f64 (*.f64 a b) #s(literal 4 binary64))
89.6%3(*.f64 a b)
Compiler

Compiled 84 to 69 computations (17.9% saved)

regimes52.0ms (0.5%)

Memory
-8.8MiB live, 107.0MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
Outputs
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))
Calls

8 calls:

9.0ms
(*.f64 a b)
8.0ms
t
8.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
5.0ms
c
5.0ms
z
Results
AccuracySegmentsBranch
73.7%5c
82.1%3(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
72.6%4b
69.3%5a
69.4%5t
75.4%6z
73.7%4(/.f64 (*.f64 a b) #s(literal 4 binary64))
73.7%4(*.f64 a b)
Compiler

Compiled 78 to 65 computations (16.7% saved)

regimes48.0ms (0.4%)

Memory
-18.5MiB live, 103.2MiB allocated
Counts
15 → 4
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))
Outputs
(fma.f64 y x c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y))
Calls

8 calls:

8.0ms
x
7.0ms
(/.f64 (*.f64 z t) #s(literal 16 binary64))
7.0ms
(*.f64 x y)
5.0ms
y
5.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
Results
AccuracySegmentsBranch
75.6%6(/.f64 (*.f64 z t) #s(literal 16 binary64))
75.6%6(*.f64 z t)
68.2%4y
73.3%5x
68.9%6(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
70.4%5(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
75.9%4(*.f64 x y)
68.9%3(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
Compiler

Compiled 110 to 85 computations (22.7% saved)

regimes5.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
13 → 4
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(+.f64 (*.f64 a (*.f64 b #s(literal -1/4 binary64))) c)
(+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64)) c)
Outputs
(fma.f64 y x c)
(fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 y x c)
Calls

1 calls:

4.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
75.5%4(*.f64 x y)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes200.0ms (1.7%)

Memory
12.4MiB live, 51.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
Outputs
(fma.f64 y x c)
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)
(fma.f64 y x c)
Calls

9 calls:

170.0ms
(/.f64 (*.f64 z t) #s(literal 16 binary64))
4.0ms
x
4.0ms
z
4.0ms
c
4.0ms
b
Results
AccuracySegmentsBranch
65.3%3x
61.9%5c
68.3%5z
72.9%5(/.f64 (*.f64 z t) #s(literal 16 binary64))
72.9%5(*.f64 z t)
65.3%3b
67.0%3(/.f64 (*.f64 a b) #s(literal 4 binary64))
67.0%3(*.f64 a b)
69.9%3(*.f64 x y)
Compiler

Compiled 86 to 72 computations (16.3% saved)

regimes51.0ms (0.4%)

Memory
0.2MiB live, 80.5MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 #s(literal 1/16 binary64) (*.f64 t z) #s(literal 0 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
(fma.f64 y x c)
(*.f64 (*.f64 #s(literal 1/16 binary64) z) t)
Calls

13 calls:

7.0ms
t
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
3.0ms
y
3.0ms
a
3.0ms
z
Results
AccuracySegmentsBranch
61.0%3z
55.4%5x
62.1%3b
57.3%3a
61.0%4t
54.2%3y
63.7%3(/.f64 (*.f64 a b) #s(literal 4 binary64))
63.7%3(*.f64 a b)
52.5%2(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
50.9%2(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
65.0%3(/.f64 (*.f64 z t) #s(literal 16 binary64))
65.0%3(*.f64 z t)
57.7%4(*.f64 x y)
Compiler

Compiled 140 to 114 computations (18.6% saved)

regimes17.0ms (0.1%)

Memory
-4.0MiB live, 34.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
Outputs
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
(fma.f64 y x c)
(*.f64 a (*.f64 b #s(literal -1/4 binary64)))
Calls

5 calls:

5.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
3.0ms
(/.f64 (*.f64 z t) #s(literal 16 binary64))
3.0ms
(*.f64 z t)
3.0ms
(/.f64 (*.f64 a b) #s(literal 4 binary64))
3.0ms
(*.f64 a b)
Results
AccuracySegmentsBranch
63.7%3(/.f64 (*.f64 a b) #s(literal 4 binary64))
63.7%3(*.f64 a b)
52.5%2(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
49.1%1(/.f64 (*.f64 z t) #s(literal 16 binary64))
49.1%1(*.f64 z t)
Compiler

Compiled 68 to 53 computations (22.1% saved)

regimes44.0ms (0.4%)

Memory
18.7MiB live, 96.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x c)
(+.f64 (*.f64 y x) c)
(+.f64 (fma.f64 x y #s(literal 0 binary64)) c)
Outputs
(fma.f64 y x c)
Calls

15 calls:

5.0ms
z
4.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
3.0ms
t
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
49.1%1(/.f64 (*.f64 z t) #s(literal 16 binary64))
49.1%1(*.f64 z t)
49.1%1x
49.1%1(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
49.1%1(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
49.1%1(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
49.1%1y
49.1%1(*.f64 x y)
49.1%1a
49.1%1c
49.1%1t
49.1%1z
49.1%1b
49.1%1(/.f64 (*.f64 a b) #s(literal 4 binary64))
49.1%1(*.f64 a b)
Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes134.0ms (1.2%)

Memory
-22.7MiB live, 68.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
c
(*.f64 x y)
(fma.f64 x y #s(literal 0 binary64))
Outputs
(*.f64 x y)
c
(*.f64 x y)
Calls

15 calls:

81.0ms
(/.f64 (*.f64 z t) #s(literal 16 binary64))
28.0ms
z
2.0ms
c
2.0ms
b
2.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
Results
AccuracySegmentsBranch
29.3%2t
41.0%3c
41.2%3x
37.1%3y
34.3%4z
29.2%2a
28.9%2b
30.7%3(/.f64 (*.f64 a b) #s(literal 4 binary64))
30.7%3(*.f64 a b)
42.5%3(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
44.1%3(*.f64 x y)
36.9%3(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
40.2%3(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
30.4%2(/.f64 (*.f64 z t) #s(literal 16 binary64))
30.4%2(*.f64 z t)
Compiler

Compiled 172 to 138 computations (19.8% saved)

regimes23.0ms (0.2%)

Memory
-10.1MiB live, 67.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
c
Outputs
c
Calls

15 calls:

2.0ms
(*.f64 a b)
1.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
1.0ms
z
1.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
1.0ms
c
Results
AccuracySegmentsBranch
26.5%1b
26.5%1(/.f64 (*.f64 a b) #s(literal 4 binary64))
26.5%1(*.f64 a b)
26.5%1a
26.5%1t
26.5%1(/.f64 (*.f64 z t) #s(literal 16 binary64))
26.5%1(*.f64 z t)
26.5%1z
26.5%1(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64))) c)
26.5%1y
26.5%1(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) (/.f64 (*.f64 a b) #s(literal 4 binary64)))
26.5%1c
26.5%1x
26.5%1(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64)))
26.5%1(*.f64 x y)
Compiler

Compiled 172 to 138 computations (19.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.932697942683805e+116
2.886102529117117e+121
0.0ms
-1.3429724019790733e+47
-9.322656385042017e+44
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.927815921513856e+58
1.1593039145310521e+62
0.0ms
-1.5874906295571557e+190
-1.6129472510650708e+189
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.927815921513856e+58
1.1593039145310521e+62
0.0ms
-1.5874906295571557e+190
-1.6129472510650708e+189
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4539640508914384e+116
2.886102529117117e+121
0.0ms
-1.5317869087168787e+147
-7.389918622028846e+139
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.609610002467973e+115
8.932697942683805e+116
0.0ms
0.0
3.42483495e-315
0.0ms
-1.3429724019790733e+47
-9.322656385042017e+44
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7114152728086659e+105
9.609610002467973e+115
0.0ms
0.0
3.42483495e-315
0.0ms
-1.3429724019790733e+47
-9.322656385042017e+44
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7114152728086659e+105
9.609610002467973e+115
0.0ms
-1.299772572723079e+38
-1.1676028679944507e+24
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.339307471007812e+128
8.825573888551191e+131
0.0ms
-2.117203515130582e+159
-2.712035950233882e+147
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.31141748244565e+66
4.740570532527058e+74
0.0ms
-4.6861350997400355e+187
-2.3661966793247154e+178
Compiler

Compiled 27 to 27 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.609610002467973e+115
8.932697942683805e+116
0.0ms
-4.9981754213569586e+58
-4.081729090790865e+55
Compiler

Compiled 27 to 27 computations (0% saved)

simplify13.0ms (0.1%)

Memory
-16.0MiB live, 25.1MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
12×if-if-or-not_binary32
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084329
1114329
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(if (<=.f64 (*.f64 x y) #s(literal -100000000000000004384584304507619735463404765184 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (if (<=.f64 (*.f64 x y) #s(literal 1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))))
(if (<=.f64 (*.f64 a b) #s(literal -10000000000000000725591715973187783610303424287811372824568343983972101724920689074452068181743241951740625976868675721161334753163637413771490365780039321792212624518252692320803210995433472 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (if (<=.f64 (*.f64 a b) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))))
(if (<=.f64 (*.f64 a b) #s(literal -10000000000000000725591715973187783610303424287811372824568343983972101724920689074452068181743241951740625976868675721161334753163637413771490365780039321792212624518252692320803210995433472 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (if (<=.f64 (*.f64 a b) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z))) (if (<=.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) #s(literal 500000000000000025277713862997516907114118515401501639510240737361116381988542702912116688552531109626208556618350592 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(if (<=.f64 (*.f64 x y) #s(literal -100000000000000004384584304507619735463404765184 binary64)) (fma.f64 y x c) (if (<=.f64 (*.f64 x y) #s(literal 0 binary64)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c) (if (<=.f64 (*.f64 x y) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y)))))
(if (<=.f64 (*.f64 x y) #s(literal -100000000000000004384584304507619735463404765184 binary64)) (fma.f64 y x c) (if (<=.f64 (*.f64 x y) #s(literal 0 binary64)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c) (if (<=.f64 (*.f64 x y) #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 y x c))))
(if (<=.f64 (*.f64 x y) #s(literal -99999999999999997748809823456034029568 binary64)) (fma.f64 y x c) (if (<=.f64 (*.f64 x y) #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 y x c)))
(if (<=.f64 (*.f64 z t) #s(literal -1999999999999999856969387974336841544611466940118938136259861775855544812609788247233480561009492401147963340862836599047403467459377561298838125765673390964736 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) z) t) (if (<=.f64 (*.f64 z t) #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (fma.f64 y x c) (*.f64 (*.f64 #s(literal 1/16 binary64) z) t)))
(if (<=.f64 (*.f64 a b) #s(literal -39999999999999996286278624487204848322771259875683157858509787478471689198496005812807501127245521000998775519223249412907628366722822327436946795414562420536990849097368527513981689004032 binary64)) (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (if (<=.f64 (*.f64 a b) #s(literal 9999999999999999827367757839185598317239782875580932278577147150336 binary64)) (fma.f64 y x c) (*.f64 a (*.f64 b #s(literal -1/4 binary64)))))
(fma.f64 y x c)
(if (<=.f64 (*.f64 x y) #s(literal -39999999999999997752477959897654523263188617714052787863552 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) c (*.f64 x y)))
c
Outputs
(fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)))
(if (<=.f64 (*.f64 x y) #s(literal -100000000000000004384584304507619735463404765184 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (if (<=.f64 (*.f64 x y) #s(literal 1000000000000000050555427725995033814228237030803003279020481474722232763977085405824233377105062219252417113236701184 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))))
(if (<=.f64 (*.f64 a b) #s(literal -10000000000000000725591715973187783610303424287811372824568343983972101724920689074452068181743241951740625976868675721161334753163637413771490365780039321792212624518252692320803210995433472 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c)) (if (<=.f64 (*.f64 a b) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (fma.f64 x y c))))
(if (<=.f64 (*.f64 a b) #s(literal -10000000000000000725591715973187783610303424287811372824568343983972101724920689074452068181743241951740625976868675721161334753163637413771490365780039321792212624518252692320803210995433472 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (if (<=.f64 (*.f64 a b) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 t z) (fma.f64 x y c)) (fma.f64 x y (*.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(if (<=.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z))) (if (<=.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) #s(literal 16 binary64))) #s(literal 500000000000000025277713862997516907114118515401501639510240737361116381988542702912116688552531109626208556618350592 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(if (<=.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 t z) #s(literal 16 binary64))) #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z))) (if (<=.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 t z) #s(literal 16 binary64))) #s(literal 500000000000000025277713862997516907114118515401501639510240737361116381988542702912116688552531109626208556618350592 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 x y (*.f64 #s(literal 1/16 binary64) (*.f64 t z)))))
(if (<=.f64 (*.f64 x y) #s(literal -100000000000000004384584304507619735463404765184 binary64)) (fma.f64 y x c) (if (<=.f64 (*.f64 x y) #s(literal 0 binary64)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c) (if (<=.f64 (*.f64 x y) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) (*.f64 x y)))))
(if (<=.f64 (*.f64 x y) #s(literal -100000000000000004384584304507619735463404765184 binary64)) (fma.f64 y x c) (if (<=.f64 (*.f64 x y) #s(literal 0 binary64)) (fma.f64 (*.f64 t z) #s(literal 1/16 binary64) c) (if (<=.f64 (*.f64 x y) #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 y x c))))
(if (<=.f64 (*.f64 x y) #s(literal -99999999999999997748809823456034029568 binary64)) (fma.f64 y x c) (if (<=.f64 (*.f64 x y) #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 binary64)) (fma.f64 a (*.f64 b #s(literal -1/4 binary64)) c) (fma.f64 y x c)))
(if (<=.f64 (*.f64 z t) #s(literal -1999999999999999856969387974336841544611466940118938136259861775855544812609788247233480561009492401147963340862836599047403467459377561298838125765673390964736 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) z) t) (if (<=.f64 (*.f64 z t) #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (fma.f64 y x c) (*.f64 (*.f64 #s(literal 1/16 binary64) z) t)))
(if (<=.f64 (*.f64 t z) #s(literal -1999999999999999856969387974336841544611466940118938136259861775855544812609788247233480561009492401147963340862836599047403467459377561298838125765673390964736 binary64)) (*.f64 t (*.f64 #s(literal 1/16 binary64) z)) (if (<=.f64 (*.f64 t z) #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (fma.f64 y x c) (*.f64 t (*.f64 #s(literal 1/16 binary64) z))))
(if (<=.f64 (*.f64 a b) #s(literal -39999999999999996286278624487204848322771259875683157858509787478471689198496005812807501127245521000998775519223249412907628366722822327436946795414562420536990849097368527513981689004032 binary64)) (*.f64 a (*.f64 b #s(literal -1/4 binary64))) (if (<=.f64 (*.f64 a b) #s(literal 9999999999999999827367757839185598317239782875580932278577147150336 binary64)) (fma.f64 y x c) (*.f64 a (*.f64 b #s(literal -1/4 binary64)))))
(fma.f64 y x c)
(if (<=.f64 (*.f64 x y) #s(literal -39999999999999997752477959897654523263188617714052787863552 binary64)) (*.f64 x y) (if (<=.f64 (*.f64 x y) #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) c (*.f64 x y)))
c

soundness1.5s (13%)

Memory
56.1MiB live, 1 072.3MiB allocated
Rules
18 600×accelerator-lowering-fma.f32
18 600×accelerator-lowering-fma.f64
17 544×accelerator-lowering-fma.f32
17 544×accelerator-lowering-fma.f64
17 094×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02033090
16833054
222023012
367553006
085072695
02254
112254
2125754
0806947
02253126
17643114
224893102
366043030
083762651
02012714
16942702
222832678
362362612
084342260
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 087 to 607 computations (44.2% saved)

preprocess147.0ms (1.3%)

Memory
2.2MiB live, 165.3MiB allocated
Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 902 to 284 computations (68.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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