Linear.Quaternion:$c/ from linear-1.19.1.3, A

Time bar (total: 9.3s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 17 to 10 computations (41.2% saved)

sample1.1s (12%)

Memory
23.4MiB live, 763.5MiB allocated
Samples
687.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-add: 164.0ms (54.1% of total)
ival-mult: 131.0ms (43.2% of total)
ival-true: 5.0ms (1.6% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess67.0ms (0.7%)

Memory
-6.4MiB live, 32.7MiB allocated
Algorithm
2×egg-herbie
Rules
726×unsub-neg
326×sub-neg
282×associate-+l-
256×cancel-sign-sub
206×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040157
1108133
223991
360490
4113090
5149990
6205690
7257990
8263890
9263890
0815
11513
2259
3379
4459
5489
0488
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
Call 2
Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z)))
(neg (+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z)))
(neg (+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z)))
(neg (+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z))))
(+ (+ (+ (* y x) (* z z)) (* z z)) (* z z))
(+ (+ (+ (* z y) (* x x)) (* x x)) (* x x))
(+ (+ (+ (* x z) (* y y)) (* y y)) (* y y))
Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (* x y) (* (* z z) 3))
(+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z))
(- (* (* z z) 3) (* x y))
(+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z))
(- (* (* z z) 3) (* x y))
(+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z)))
(+ (* x y) (* (* z z) 3))
(neg (+ (+ (+ (* (neg x) y) (* z z)) (* z z)) (* z z)))
(+ (* x y) (* (* z z) -3))
(neg (+ (+ (+ (* x (neg y)) (* z z)) (* z z)) (* z z)))
(+ (* x y) (* (* z z) -3))
(neg (+ (+ (+ (* x y) (* (neg z) (neg z))) (* (neg z) (neg z))) (* (neg z) (neg z))))
(- (* (* z z) -3) (* x y))
(+ (+ (+ (* y x) (* z z)) (* z z)) (* z z))
(+ (* x y) (* (* z z) 3))
(+ (+ (+ (* z y) (* x x)) (* x x)) (* x x))
(+ (* y z) (* (* x x) 3))
(+ (+ (+ (* x z) (* y y)) (* y y)) (* y y))
(+ (* x z) (* y (* y 3)))
Symmetry

(abs z)

(sort x y)

explain192.0ms (2.1%)

Memory
1.6MiB live, 206.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
80-0-(+.f64 (*.f64 x y) (*.f64 z z))
10-0-(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
10-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
00-0-y
00-0-(*.f64 z z)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z z))nan-rescue80
↳(*.f64 x y)overflow34
↳(*.f64 z z)overflow57
+.f64(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))nan-rescue10
↳(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))overflow81
↳(+.f64 (*.f64 x y) (*.f64 z z))overflow81
↳(*.f64 x y)overflow34
↳(*.f64 z z)overflow114
↳(*.f64 z z)overflow57
+.f64(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))nan-rescue10
↳(+.f64 (*.f64 x y) (*.f64 z z))overflow81
↳(*.f64 x y)overflow34
↳(*.f64 z z)overflow57
↳(*.f64 z z)overflow57
Confusion
Predicted +Predicted -
+80
-0248
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+800
-00248
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0248
17
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 124 to 36 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (50.8% of total)
ival-add: 6.0ms (43.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.8%
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify6.0ms (0.1%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff128
(+.f64 (*.f64 x y) (*.f64 z z))
✓cost-diff320
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
✓cost-diff384
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Rules
58×accelerator-lowering-fma.f32
58×accelerator-lowering-fma.f64
36×+-lowering-+.f64
36×+-lowering-+.f32
30×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0842
11538
22534
33734
44534
54834
04831
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (* x y) (* z z)) (* z z))
(+ (* x y) (* z z))
(* x y)
x
y
(* z z)
z
Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 x y))
(+ (+ (* x y) (* z z)) (* z z))
(fma.f64 z (+.f64 z z) (*.f64 x y))
(+ (* x y) (* z z))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z

localize63.0ms (0.7%)

Memory
-26.5MiB live, 51.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy99.6%
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
✓accuracy99.5%
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
✓accuracy97.4%
(+.f64 (*.f64 x y) (*.f64 z z))
Samples
27.0ms256×0valid
Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (44.8% of total)
ival-mult: 3.0ms (44.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#<alt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))>
#<alt (+ (+ (* x y) (* z z)) (* z z))>
#<alt (+ (* x y) (* z z))>
#<alt (* x y)>
Outputs
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

33 calls:

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

rewrite739.0ms (8%)

Memory
-28.1MiB live, 606.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 458×accelerator-lowering-fma.f32
10 458×accelerator-lowering-fma.f64
4 638×*-lowering-*.f32
4 638×*-lowering-*.f64
3 250×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
15032
251226
3756926
0817323
Stop Event
1×iter limit
1×node limit
Counts
4 → 324
Calls
Call 1
Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (* x y) (* z z)) (* z z))
(+ (* x y) (* z z))
(* x y)
Outputs
(+.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+.f64 (*.f64 z z) (fma.f64 z (+.f64 z z) (*.f64 x y)))
(+.f64 (fma.f64 x y (*.f64 z z)) (*.f64 z (+.f64 z z)))
(+.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (*.f64 z z))
(+.f64 (*.f64 z (+.f64 z z)) (fma.f64 x y (*.f64 z z)))
(+.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (fma.f64 z (+.f64 z z) (*.f64 x y))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 z z)) (*.f64 x y))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))) (*.f64 z (+.f64 z z))))
(-.f64 (*.f64 (fma.f64 x y (*.f64 z z)) (/.f64 (fma.f64 x y (*.f64 z z)) (fma.f64 x y #s(literal 0 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x y #s(literal 0 binary64))) (*.f64 z z)))
(-.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (fma.f64 z (+.f64 z z) (*.f64 x y))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z z)))) (/.f64 (*.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (fma.f64 z (+.f64 z z) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (fma.f64 x y (*.f64 z z)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x y (*.f64 z z)) (fma.f64 x y (*.f64 z z))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))) (/.f64 (*.f64 z (+.f64 z z)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))))
(-.f64 (fma.f64 z z (*.f64 (fma.f64 x y (*.f64 z z)) (/.f64 (fma.f64 x y (*.f64 z z)) (fma.f64 x y #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x y #s(literal 0 binary64))))
(-.f64 (fma.f64 z (+.f64 z z) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
(fma.f64 z (+.f64 z z) (fma.f64 x y (*.f64 z z)))
(fma.f64 z (+.f64 z (+.f64 z z)) (*.f64 x y))
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 x y))
(fma.f64 z (*.f64 (+.f64 z z) (*.f64 z (+.f64 z z))) (fma.f64 x y (*.f64 z z)))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (fma.f64 x y (*.f64 z z)))
(fma.f64 (*.f64 z z) (*.f64 (+.f64 z z) (+.f64 z z)) (fma.f64 x y (*.f64 z z)))
(fma.f64 (fma.f64 x y (*.f64 z z)) (*.f64 (-.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z z)))) (*.f64 z (+.f64 z z)))
(fma.f64 (fma.f64 x y (*.f64 z z)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))) (*.f64 z (+.f64 z z)))
(fma.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) (*.f64 z z))
(fma.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (/.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))))
(fma.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (/.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (fma.f64 x y (*.f64 z z)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 z z) (*.f64 z (+.f64 z z))) (fma.f64 x y (*.f64 z z)))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (-.f64 (*.f64 x y) (*.f64 z z)))) (*.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))))) (fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))) #s(literal 1 binary64)) (-.f64 (*.f64 x y) (*.f64 z z)))
(/.f64 (*.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))))) (fma.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))))) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (-.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))))) (-.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (-.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z z)))) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z z)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z z) (*.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (fma.f64 x y (*.f64 z z)) (*.f64 (-.f64 (*.f64 x y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z z)))))
(*.f64 (fma.f64 x y (*.f64 z z)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (fma.f64 x y (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))))))
(*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (fma.f64 x y (*.f64 z z)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) (*.f64 z z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))) (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z z))) (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 (*.f64 (fma.f64 x y (*.f64 z z)) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))) (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z)))) (fma.f64 x y (*.f64 z z)))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (fma.f64 (*.f64 z (*.f64 z (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y))))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y))))))) (*.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))))))) (fma.f64 (*.f64 z (*.f64 z (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y))))) (-.f64 (*.f64 z (*.f64 z (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y))))) (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x (*.f64 y (*.f64 x y))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y)))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y)))))))) (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 x y)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x y (*.f64 z z)) (-.f64 (*.f64 x y) (*.f64 z z))) (-.f64 (*.f64 x (*.f64 y (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 (*.f64 z z) (*.f64 (*.f64 z z) (*.f64 z z))))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (*.f64 z z) (fma.f64 x y (*.f64 z z)))))
(*.f64 x y)
(*.f64 y x)

simplify410.0ms (4.4%)

Memory
6.2MiB live, 323.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 428×accelerator-lowering-fma.f32
8 428×accelerator-lowering-fma.f64
4 020×*-lowering-*.f32
4 020×*-lowering-*.f64
1 038×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070952
1244844
2752844
32138844
45699844
08153763
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (pow z 2))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval191.0ms (2.1%)

Memory
-18.7MiB live, 100.1MiB allocated
Compiler

Compiled 16 699 to 1 009 computations (94% saved)

prune97.0ms (1%)

Memory
33.6MiB live, 112.8MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4479456
Fresh000
Picked101
Done000
Total4489457
Accuracy
100.0%
Counts
457 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
▶99.6%
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
39.4%
(fma.f64 (*.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (fma.f64 z (+.f64 z z) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))))
97.1%
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 x y))
▶99.5%
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
▶57.2%
(fma.f64 x y #s(literal 0 binary64))
96.8%
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
▶77.9%
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
▶96.4%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y)))) (*.f64 z z))
Compiler

Compiled 282 to 150 computations (46.8% saved)

simplify46.0ms (0.5%)

Memory
-15.6MiB live, 24.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 z (+.f64 z z) (*.f64 x y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y)))
✓cost-diff448
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y)))) (*.f64 z z))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y))))
✓cost-diff-64
(*.f64 z z)
✓cost-diff-64
(*.f64 #s(literal 3 binary64) (*.f64 z z))
✓cost-diff64
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
✓cost-diff-64
(*.f64 z z)
✓cost-diff0
(fma.f64 x y #s(literal 0 binary64))
✓cost-diff192
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
✓cost-diff0
(fma.f64 x y #s(literal 0 binary64))
✓cost-diff-64
(*.f64 z z)
✓cost-diff0
(fma.f64 x y (*.f64 z z))
✓cost-diff0
(+.f64 z z)
✓cost-diff256
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
Rules
180×accelerator-lowering-fma.f32
180×accelerator-lowering-fma.f64
82×*-lowering-*.f32
82×*-lowering-*.f64
64×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022132
146132
288120
3134120
4137120
5146120
6149120
0149112
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (+ z z) z) (+ (* x y) (* z z)))
(+ z z)
z
(+ (* x y) (* z z))
x
y
(* z z)
(+ (* x y) 0)
x
y
0
(+ (+ (* x y) 0) (* z z))
(+ (* x y) 0)
x
y
0
(* z z)
z
(+ (* y x) (* 3 (* z z)))
y
x
(* 3 (* z z))
3
(* z z)
z
(+ (/ 1 (/ 1 (+ (* z (+ z z)) (* x y)))) (* z z))
(/ 1 (/ 1 (+ (* z (+ z z)) (* x y))))
1
(/ 1 (+ (* z (+ z z)) (* x y)))
(+ (* z (+ z z)) (* x y))
z
(+ z z)
(* x y)
x
y
(* z z)
Outputs
(+ (* (+ z z) z) (+ (* x y) (* z z)))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ z z)
(+.f64 z z)
z
(+ (* x y) (* z z))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
x
y
(* z z)
(fma.f64 z z #s(literal 0 binary64))
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(+ (+ (* x y) 0) (* z z))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
(+ (* y x) (* 3 (* z z)))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (fma.f64 x y #s(literal 0 binary64)))
y
x
(* 3 (* z z))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
(+ (/ 1 (/ 1 (+ (* z (+ z z)) (* x y)))) (* z z))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(/ 1 (/ 1 (+ (* z (+ z z)) (* x y))))
(fma.f64 z (+.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (+ z z)) (* x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (fma.f64 x y #s(literal 0 binary64))))
(+ (* z (+ z z)) (* x y))
(fma.f64 z (+.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
z
(+ z z)
(+.f64 z z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(* z z)
(fma.f64 z z #s(literal 0 binary64))

localize152.0ms (1.6%)

Memory
2.8MiB live, 124.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y)))
✓accuracy99.5%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y)))) (*.f64 z z))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y))))
✓accuracy97.3%
(fma.f64 z (+.f64 z z) (*.f64 x y))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
✓accuracy99.6%
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
✓accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 z z)
✓accuracy97.4%
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
✓accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
✓accuracy100.0%
(+.f64 z z)
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
✓accuracy99.6%
(fma.f64 x y (*.f64 z z))
Samples
37.0ms256×0valid
Compiler

Compiled 133 to 24 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 9.0ms (42% of total)
ival-mult: 9.0ms (42% of total)
ival-div: 3.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
-24.9MiB live, 13.8MiB allocated
Counts
12 → 348
Calls
Call 1
Inputs
#<alt (+ (* (+ z z) z) (+ (* x y) (* z z)))>
#<alt (+ z z)>
#<alt (+ (* x y) (* z z))>
#<alt (* z z)>
#<alt (+ (* x y) 0)>
#<alt (+ (+ (* x y) 0) (* z z))>
#<alt (+ (* y x) (* 3 (* z z)))>
#<alt (* 3 (* z z))>
#<alt (/ 1 (/ 1 (+ (* z (+ z z)) (* x y))))>
#<alt (+ (/ 1 (/ 1 (+ (* z (+ z z)) (* x y)))) (* z z))>
#<alt (/ 1 (+ (* z (+ z z)) (* x y)))>
#<alt (+ (* z (+ z z)) (* x y))>
Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<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 (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* 4 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -8 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 4 (/ 1 (* (pow x 3) (pow y 3)))))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* 1/8 (/ (* x (pow y 2)) (pow z 6))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* x (- (* x (- (* -1/16 (/ (* x (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)>
#<alt (/ (- (+ (* 4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 2 (/ (pow z 2) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (* -8 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 2 (/ (pow z 2) (* x (pow y 2)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* x (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* x (pow y 4)))) (* 4 (/ (pow z 4) (pow y 3)))) x)) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ 1/2 (pow z 2))>
#<alt (+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* 1/8 (/ (* (pow x 2) y) (pow z 6))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* y (- (* -1/16 (/ (* (pow x 3) y) (pow z 8))) (* -1/8 (/ (pow x 2) (pow z 6))))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* -2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (+ (* 4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 2 (/ (pow z 2) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (* -8 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 2 (/ (pow z 2) (* (pow x 2) y))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* 2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* (pow x 3) y))) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow x 4) y))) (* 4 (/ (pow z 4) (pow x 3)))) y)) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
Calls

87 calls:

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

rewrite1.2s (12.7%)

Memory
43.9MiB live, 2 190.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 884×accelerator-lowering-fma.f32
11 884×accelerator-lowering-fma.f64
4 966×*-lowering-*.f32
4 966×*-lowering-*.f64
4 154×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292
115560
2153260
0824255
Stop Event
1×iter limit
1×node limit
Counts
12 → 4 376
Calls
Call 1
Inputs
(+ (* (+ z z) z) (+ (* x y) (* z z)))
(+ z z)
(+ (* x y) (* z z))
(* z z)
(+ (* x y) 0)
(+ (+ (* x y) 0) (* z z))
(+ (* y x) (* 3 (* z z)))
(* 3 (* z z))
(/ 1 (/ 1 (+ (* z (+ z z)) (* x y))))
(+ (/ 1 (/ 1 (+ (* z (+ z z)) (* x y)))) (* z z))
(/ 1 (+ (* z (+ z z)) (* x y)))
(+ (* z (+ z z)) (* x y))
Outputs
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (neg.f64 z) z))
(+.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+.f64 (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 x (*.f64 y (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))))
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(*.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) y) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x y #s(literal 0 binary64)) y) (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/2 binary64))))

simplify484.0ms (5.2%)

Memory
10.2MiB live, 918.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 438×accelerator-lowering-fma.f32
9 438×accelerator-lowering-fma.f64
5 350×*-lowering-*.f32
5 350×*-lowering-*.f64
4 378×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813244
18733236
226233216
377023216
086322983
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 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)
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(/ 1 (* x y))
(+ (* -2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 4 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -8 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 4 (/ 1 (* (pow x 3) (pow y 3)))))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(/ 1/2 (pow z 2))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(/ 1/2 (pow z 2))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(/ 1/2 (pow z 2))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+ (* x (- (* 1/8 (/ (* x (pow y 2)) (pow z 6))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/16 (/ (* x (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 2 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 2 (/ (pow z 2) (* x (pow y 2)))))) x)
(/ 1 (* x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* x (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* x (pow y 4)))) (* 4 (/ (pow z 4) (pow y 3)))) x)) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/ 1/2 (pow z 2))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+ (* y (- (* 1/8 (/ (* (pow x 2) y) (pow z 6))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/16 (/ (* (pow x 3) y) (pow z 8))) (* -1/8 (/ (pow x 2) (pow z 6))))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ (+ (* -2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 2 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 2 (/ (pow z 2) (* (pow x 2) y))))) y)
(/ 1 (* x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* (pow x 3) y))) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow x 4) y))) (* 4 (/ (pow z 4) (pow x 3)))) y)) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
Outputs
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)))
(* 3 (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(*.f64 (*.f64 z z) (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* x y)
(*.f64 x y)
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(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(+ (* 2 (pow z 2)) (pow z 2))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) y) x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -2 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+ (* (pow z 2) (- (* 4 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 z (*.f64 z (fma.f64 z (/.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -8 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 4 (/ 1 (* (pow x 3) (pow y 3)))))) (* 2 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (/.f64 #s(literal -8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))))) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 z z))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 (*.f64 y y) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1/2 binary64))) (*.f64 z z))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 z z)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/16 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/2 binary64)))) (*.f64 z z))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(/ (+ 1/2 (* -1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) (*.f64 z z))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/4 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 (*.f64 y y) (*.f64 (*.f64 z z) (*.f64 z z))) #s(literal 1/2 binary64))) (*.f64 z z))
(/ (- (+ 1/2 (* -1/16 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 z z)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/16 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/2 binary64)))) (*.f64 z z))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(fma.f64 (*.f64 y #s(literal -1/4 binary64)) (/.f64 x (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(+ (* x (- (* 1/8 (/ (* x (pow y 2)) (pow z 6))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(fma.f64 x (fma.f64 (*.f64 x (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(+ (* x (- (* x (- (* -1/16 (/ (* x (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* 1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/16 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 2 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) x)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -4 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 2 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) y)))) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* x (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 y y))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 y (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* x (pow y 4)))) (* 4 (/ (pow z 4) (pow y 3)))) x)) (* 2 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 x (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 z (*.f64 z #s(literal 2 binary64))) (*.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(+ (* -1/4 (/ (* x y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(fma.f64 (*.f64 y #s(literal -1/4 binary64)) (/.f64 x (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(+ (* y (- (* 1/8 (/ (* (pow x 2) y) (pow z 6))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(fma.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 x (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x y))) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(+ (* y (- (* y (- (* -1/16 (/ (* (pow x 3) y) (pow z 8))) (* -1/8 (/ (pow x 2) (pow z 6))))) (* 1/4 (/ x (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1/16 binary64) (pow.f64 z #s(literal 8 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/ (- (+ (* 4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 2 (/ (pow z 2) (* (pow x 2) y)))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))) y)
(/ (- (+ (* -8 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -4 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 2 (/ (pow z 2) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x y))) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) x)))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (* 2 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* (pow x 3) y))) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) (fma.f64 (*.f64 z z) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1 binary64) x))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow x 4) y))) (* 4 (/ (pow z 4) (pow x 3)))) y)) (* 2 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal -4 binary64)) (*.f64 x (*.f64 x (*.f64 x y)))))) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(* x y)
(*.f64 x y)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(* 2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 z (*.f64 z (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 z (*.f64 z (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 z (*.f64 z (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* 2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 z (*.f64 z (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 z (*.f64 z (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(*.f64 z (*.f64 z (fma.f64 x (/.f64 y (*.f64 z z)) #s(literal 2 binary64))))
(* 2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 2 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(* x y)
(*.f64 x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) x) y))
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) x) y))
(* x (+ y (* 2 (/ (pow z 2) x))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) x) y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) x) y))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) x) y))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(*.f64 x (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) x) y))
(* 2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 2 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 2 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(*.f64 y (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) y) x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(*.f64 y (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) y) x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(*.f64 y (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) y) x))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(*.f64 y (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) y) x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(*.f64 y (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) y) x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(*.f64 y (fma.f64 z (/.f64 (*.f64 z #s(literal 2 binary64)) y) x))

eval824.0ms (8.9%)

Memory
45.1MiB live, 1 541.5MiB allocated
Compiler

Compiled 190 309 to 5 937 computations (96.9% saved)

prune664.0ms (7.1%)

Memory
6.6MiB live, 1 323.5MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5 31795 326
Fresh404
Picked505
Done000
Total5 32695 335
Accuracy
100.0%
Counts
5 335 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(fma.f64 (+.f64 z z) z (*.f64 z z))
▶78.9%
(fma.f64 (+.f64 z z) z (*.f64 x y))
▶99.5%
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
80.7%
(fma.f64 x y (*.f64 z z))
48.7%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z))
30.3%
(*.f64 z z)
▶57.2%
(*.f64 y x)
▶95.9%
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
▶48.7%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Compiler

Compiled 178 to 110 computations (38.2% saved)

simplify378.0ms (4.1%)

Memory
-77.1MiB live, 473.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 (*.f64 z z) x)
✓cost-diff0
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
✓cost-diff704
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(+.f64 z z)
✓cost-diff0
(fma.f64 (+.f64 z z) z (*.f64 x y))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 z z))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(*.f64 z #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
✓cost-diff0
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Rules
7 166×*-lowering-*.f32
7 166×*-lowering-*.f64
5 132×accelerator-lowering-fma.f32
5 132×accelerator-lowering-fma.f64
2 054×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01884
14184
26784
312884
419284
531984
673684
7241484
8328384
9354684
10370684
11385184
12401784
13421584
14601084
0806980
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* y x) (* (* z 3) z))
y
x
(* (* z 3) z)
(* z 3)
z
3
(* y x)
y
x
(* 3 (* z z))
3
(* z z)
z
(+ (* (+ z z) z) (* x y))
(+ z z)
z
(* x y)
x
y
(* x (+ (* 3 (/ (* z z) x)) y))
x
(+ (* 3 (/ (* z z) x)) y)
3
(/ (* z z) x)
(* z z)
z
y
Outputs
(+ (* y x) (* (* z 3) z))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
y
x
(* (* z 3) z)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(* z 3)
(*.f64 z #s(literal 3 binary64))
z
3
#s(literal 3 binary64)
(* y x)
(*.f64 y x)
y
x
(* 3 (* z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
3
#s(literal 3 binary64)
(* z z)
(*.f64 z z)
z
(+ (* (+ z z) z) (* x y))
(fma.f64 z (+.f64 z z) (*.f64 y x))
(+ z z)
(+.f64 z z)
z
(* x y)
(*.f64 y x)
x
y
(* x (+ (* 3 (/ (* z z) x)) y))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
x
(+ (* 3 (/ (* z z) x)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
3
#s(literal 3 binary64)
(/ (* z z) x)
(/.f64 (*.f64 z z) x)
(* z z)
(*.f64 z z)
z
y

localize56.0ms (0.6%)

Memory
27.0MiB live, 102.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.9%
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
✓accuracy96.3%
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
✓accuracy89.3%
(/.f64 (*.f64 z z) x)
✓accuracy100.0%
(+.f64 z z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy97.3%
(fma.f64 (+.f64 z z) z (*.f64 x y))
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(*.f64 z #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
✓accuracy99.6%
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
Samples
35.0ms256×0valid
Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 15.0ms (67.9% of total)
ival-add: 4.0ms (18.1% of total)
ival-div: 2.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-23.3MiB live, 14.3MiB allocated
Counts
12 → 276
Calls
Call 1
Inputs
#<alt (+ (* y x) (* (* z 3) z))>
#<alt (* (* z 3) z)>
#<alt (* z 3)>
#<alt (* y x)>
#<alt (* 3 (* z z))>
#<alt (* z z)>
#<alt (+ (* (+ z z) z) (* x y))>
#<alt (+ z z)>
#<alt (* x y)>
#<alt (* x (+ (* 3 (/ (* z z) x)) y))>
#<alt (+ (* 3 (/ (* z z) x)) y)>
#<alt (/ (* z z) x)>
Outputs
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<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 (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<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 (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt y>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (* 3 (/ (pow z 2) x))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))>
#<alt (* 3 (/ (pow z 2) x))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))>
#<alt (* 3 (/ (pow z 2) x))>
#<alt (/ (+ (* 3 (pow z 2)) (* x y)) x)>
#<alt (/ (+ (* 3 (pow z 2)) (* x y)) x)>
#<alt (/ (+ (* 3 (pow z 2)) (* x y)) x)>
#<alt y>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt y>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (* 3 (/ (pow z 2) x))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt (+ y (* 3 (/ (pow z 2) x)))>
#<alt y>
#<alt (* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))>
#<alt (* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))>
#<alt (* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))>
#<alt y>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
Calls

69 calls:

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

rewrite65.0ms (0.7%)

Memory
34.3MiB live, 115.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
628×accelerator-lowering-fma.f32
628×accelerator-lowering-fma.f64
486×*-lowering-*.f32
486×*-lowering-*.f64
268×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01868
19866
073162
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
12 → 134
Calls
Call 1
Inputs
(+ (* y x) (* (* z 3) z))
(* (* z 3) z)
(* z 3)
(* y x)
(* 3 (* z z))
(* z z)
(+ (* (+ z z) z) (* x y))
(+ z z)
(* x y)
(* x (+ (* 3 (/ (* z z) x)) y))
(+ (* 3 (/ (* z z) x)) y)
(/ (* z z) x)
Outputs
(+.f64 (*.f64 y x) (*.f64 z (*.f64 z #s(literal 3 binary64))))
(+.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 y x))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(fma.f64 y x (*.f64 z (*.f64 z #s(literal 3 binary64))))
(fma.f64 x y (*.f64 z (*.f64 z #s(literal 3 binary64))))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 y x))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 y x))
(fma.f64 (*.f64 z z) #s(literal 3 binary64) (*.f64 y x))
(fma.f64 (*.f64 z #s(literal 3 binary64)) z (*.f64 y x))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 y x)))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64)))) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 z (*.f64 z #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 y x)))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 y x)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (*.f64 (fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 y x)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64))))) (neg.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 y x)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z))))) (neg.f64 (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 y x)))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) (*.f64 y x))))))
(*.f64 (*.f64 (fma.f64 z (*.f64 z #s(literal 3 binary64)) (*.f64 y x)) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (*.f64 #s(literal -3 binary64) (*.f64 z z)))))
(*.f64 z (*.f64 z #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(*.f64 x y)
(*.f64 z (*.f64 z #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (+.f64 z z))
(+.f64 (+.f64 z z) (*.f64 y x))
(-.f64 (/.f64 (*.f64 (+.f64 z z) (+.f64 z z)) (-.f64 (+.f64 z z) (*.f64 y x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (+.f64 z z) (*.f64 y x))))
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(fma.f64 (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)
(fma.f64 (*.f64 z z) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64) y)
(fma.f64 (*.f64 z #s(literal 3 binary64)) (/.f64 z x) y)
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) x) (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64)) (*.f64 x x)))) (fma.f64 y (-.f64 y (/.f64 (*.f64 z (*.f64 z #s(literal 3 binary64))) x)) (/.f64 (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) #s(literal 9 binary64)) (*.f64 x x))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) x)
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(*.f64 z (/.f64 z x))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 z z))
(*.f64 (/.f64 z x) z)

simplify479.0ms (5.2%)

Memory
0.6MiB live, 438.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 526×accelerator-lowering-fma.f32
9 526×accelerator-lowering-fma.f64
3 986×*-lowering-*.f32
3 986×*-lowering-*.f64
1 510×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0681608
12111608
25941608
318951608
437581608
575631608
081111500
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
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(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
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(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
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(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
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(* 3 z)
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(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(+ (* 2 (pow z 2)) (* x y))
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(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
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(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
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(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
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(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
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(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
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(* 3 (pow z 2))
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(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
y
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
(* 3 (/ (pow z 2) x))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(* 3 (/ (pow z 2) x))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(* 3 (/ (pow z 2) x))
(/ (+ (* 3 (pow z 2)) (* x y)) x)
(/ (+ (* 3 (pow z 2)) (* x y)) x)
(/ (+ (* 3 (pow z 2)) (* x y)) x)
y
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
y
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
(* 3 (/ (pow z 2) x))
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
(+ y (* 3 (/ (pow z 2) x)))
y
(* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))
y
(* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
Outputs
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (fma.f64 x y #s(literal 0 binary64)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* 3 (pow z 2))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) #s(literal 0 binary64))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64)))
y
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* 3 (/ (pow z 2) x))
(fma.f64 z (/.f64 (*.f64 #s(literal 3 binary64) z) x) #s(literal 0 binary64))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* 3 (/ (pow z 2) x))
(fma.f64 z (/.f64 (*.f64 #s(literal 3 binary64) z) x) #s(literal 0 binary64))
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* (pow z 2) (+ (* 3 (/ 1 x)) (/ y (pow z 2))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* 3 (/ (pow z 2) x))
(fma.f64 z (/.f64 (*.f64 #s(literal 3 binary64) z) x) #s(literal 0 binary64))
(/ (+ (* 3 (pow z 2)) (* x y)) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64))) x)
(/ (+ (* 3 (pow z 2)) (* x y)) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64))) x)
(/ (+ (* 3 (pow z 2)) (* x y)) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 z z) (fma.f64 x y #s(literal 0 binary64))) x)
y
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
y
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* 3 (/ (pow z 2) x))
(fma.f64 z (/.f64 (*.f64 #s(literal 3 binary64) z) x) #s(literal 0 binary64))
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(+ y (* 3 (/ (pow z 2) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
y
(* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* y (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
y
(* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(* -1 (* y (- (* -3 (/ (pow z 2) (* x y))) 1)))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)

eval90.0ms (1%)

Memory
-6.4MiB live, 70.6MiB allocated
Compiler

Compiled 4 853 to 359 computations (92.6% saved)

prune46.0ms (0.5%)

Memory
7.0MiB live, 44.7MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4251426
Fresh044
Picked055
Done000
Total42510435
Accuracy
100.0%
Counts
435 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.8%
(fma.f64 (+.f64 z z) z (*.f64 z z))
✓78.9%
(fma.f64 (+.f64 z z) z (*.f64 x y))
✓99.5%
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
▶80.7%
(fma.f64 x y (*.f64 z z))
▶48.7%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z))
▶48.7%
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
▶30.3%
(*.f64 z z)
✓57.2%
(*.f64 y x)
✓95.9%
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
✓48.7%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Compiler

Compiled 145 to 91 computations (37.2% saved)

simplify7.0ms (0.1%)

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

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
✓cost-diff384
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z))
✓cost-diff1216
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(+.f64 z z)
✓cost-diff256
(fma.f64 (+.f64 z z) z (*.f64 z z))
✓cost-diff0
(*.f64 z #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(fma.f64 x y (*.f64 z z))
Rules
54×*-lowering-*.f32
54×*-lowering-*.f64
50×accelerator-lowering-fma.f32
50×accelerator-lowering-fma.f64
20×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
13560
24660
35260
45860
58760
08759
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x y) (* z z))
x
y
(* z z)
z
(* z z)
z
(* (* z 3) z)
(* z 3)
z
3
(+ (* (+ z z) z) (* z z))
(+ z z)
z
(* z z)
(+ (/ 1 (/ 1/2 (* z z))) (* z z))
(/ 1 (/ 1/2 (* z z)))
1
(/ 1/2 (* z z))
1/2
(* z z)
z
Outputs
(+ (* x y) (* z z))
(fma.f64 x y (*.f64 z z))
x
y
(* z z)
(*.f64 z z)
z
(* z z)
(*.f64 z z)
z
(* (* z 3) z)
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(* z 3)
(*.f64 z #s(literal 3 binary64))
z
3
#s(literal 3 binary64)
(+ (* (+ z z) z) (* z z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(+ z z)
(+.f64 z z)
z
(* z z)
(*.f64 z z)
(+ (/ 1 (/ 1/2 (* z z))) (* z z))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(/ 1 (/ 1/2 (* z z)))
(*.f64 z (+.f64 z z))
1
#s(literal 1 binary64)
(/ 1/2 (* z z))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
1/2
#s(literal 1/2 binary64)
(* z z)
(*.f64 z z)
z

localize73.0ms (0.8%)

Memory
-30.4MiB live, 87.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.7%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z))
✓accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)))
✓accuracy100.0%
(+.f64 z z)
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.9%
(fma.f64 (+.f64 z z) z (*.f64 z z))
✓accuracy100.0%
(*.f64 z #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
✓accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 z z)
✓accuracy99.6%
(fma.f64 x y (*.f64 z z))
Samples
39.0ms256×0valid
Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (48.6% of total)
ival-add: 4.0ms (24.3% of total)
ival-div: 3.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
9 → 132
Calls
Call 1
Inputs
#<alt (+ (* x y) (* z z))>
#<alt (* z z)>
#<alt (* (* z 3) z)>
#<alt (* z 3)>
#<alt (+ (* (+ z z) z) (* z z))>
#<alt (+ z z)>
#<alt (/ 1 (/ 1/2 (* z z)))>
#<alt (+ (/ 1 (/ 1/2 (* z z))) (* z z))>
#<alt (/ 1/2 (* z z))>
Outputs
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 2 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(/ 1 (/ 1/2 (* z z)))
0.0ms
z
@0
(/ 1/2 (* z z))
0.0ms
z
@inf
(/ 1/2 (* z z))
0.0ms
z
@0
(+ (* (+ z z) z) (* z z))
0.0ms
z
@inf
(+ (* (+ z z) z) (* z z))

rewrite81.0ms (0.9%)

Memory
-7.6MiB live, 114.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
538×accelerator-lowering-fma.f32
538×accelerator-lowering-fma.f64
292×*-lowering-*.f32
292×*-lowering-*.f64
224×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
19137
076436
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
9 → 358
Calls
Call 1
Inputs
(+ (* x y) (* z z))
(* z z)
(* (* z 3) z)
(* z 3)
(+ (* (+ z z) z) (* z z))
(+ z z)
(/ 1 (/ 1/2 (* z z)))
(+ (/ 1 (/ 1/2 (* z z))) (* z z))
(/ 1/2 (* z z))
Outputs
(+.f64 (*.f64 x y) (*.f64 z z))
(+.f64 (*.f64 z z) (*.f64 x y))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 x y (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(fma.f64 z z (*.f64 x y))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 x y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)) (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)
(+.f64 z z)
(+.f64 (*.f64 z z) (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (+.f64 z z)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 z z) #s(literal 0 binary64)) (/.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(/.f64 (*.f64 z z) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1/2 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (+.f64 z z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 z z)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) z)
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 z (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 z z))
(pow.f64 (+.f64 z z) #s(literal -1 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 z (/.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 z z) (+.f64 z z))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z z))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)))
(*.f64 (+.f64 z z) z)
(*.f64 (+.f64 z z) (*.f64 z z))
(*.f64 (+.f64 z z) #s(literal 1 binary64))
(*.f64 (+.f64 z z) (*.f64 z (*.f64 z z)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z (*.f64 z z))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)) (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)
(+.f64 (*.f64 z z) (+.f64 z z))
(+.f64 (+.f64 z z) (*.f64 z z))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 z z #s(literal 0 binary64))))
(fma.f64 z z (+.f64 z z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 z #s(literal 2 binary64) (*.f64 z z))
(fma.f64 z (/.f64 z #s(literal 1/2 binary64)) (*.f64 z z))
(fma.f64 (*.f64 z z) (+.f64 z z) (*.f64 z z))
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 z z))
(fma.f64 #s(literal 1 binary64) (+.f64 z z) (*.f64 z z))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 (+.f64 z z) (*.f64 z z) (*.f64 z z))
(fma.f64 (+.f64 z z) #s(literal 1 binary64) (*.f64 z z))
(fma.f64 (+.f64 z z) (*.f64 z (*.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) z (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (*.f64 z z))
(fma.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) z) (*.f64 z z))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (+.f64 z z))
(fma.f64 (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)) (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) z)) z (*.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 z z) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 z z)))) (fma.f64 (+.f64 z z) (*.f64 #s(literal 2 binary64) (+.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (fma.f64 (+.f64 z z) (*.f64 #s(literal 2 binary64) (+.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 #s(literal 2 binary64) (+.f64 z z) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 z z)))))
(/.f64 (fma.f64 (+.f64 z z) (*.f64 #s(literal 2 binary64) (+.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 z z)) (+.f64 z z))))
(/.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 z z) (*.f64 #s(literal 2 binary64) (+.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 z z) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 z z))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 #s(literal 2 binary64) (+.f64 z z))) (-.f64 (*.f64 z z) (+.f64 z z)))
(*.f64 z (*.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 z z) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(*.f64 (fma.f64 (+.f64 z z) (*.f64 #s(literal 2 binary64) (+.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 z z) (fma.f64 z (*.f64 z (*.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 z z))))))
(*.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(+.f64 z z)
(+.f64 (*.f64 z z) (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (+.f64 z z)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 z z) #s(literal 0 binary64)) (/.f64 (*.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(/.f64 (*.f64 z z) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1/2 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))))
(/.f64 #s(literal 1/2 binary64) (*.f64 z z))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (+.f64 z z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 z z)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) z)
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 z (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 z z))
(pow.f64 (+.f64 z z) #s(literal -1 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 z (/.f64 z #s(literal 1/2 binary64)))
(*.f64 (*.f64 z z) (+.f64 z z))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z z))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)))
(*.f64 (+.f64 z z) z)
(*.f64 (+.f64 z z) (*.f64 z z))
(*.f64 (+.f64 z z) #s(literal 1 binary64))
(*.f64 (+.f64 z z) (*.f64 z (*.f64 z z)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z z)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) (*.f64 z z))
(*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 z (*.f64 z z))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)) (pow.f64 (+.f64 z z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)

simplify232.0ms (2.5%)

Memory
1.0MiB live, 363.4MiB allocated
Algorithm
1×egg-herbie
Rules
4 022×accelerator-lowering-fma.f32
4 022×accelerator-lowering-fma.f64
3 110×*-lowering-*.f32
3 110×*-lowering-*.f64
1 700×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035624
1103624
2285624
3750624
42315624
54100624
66884624
08016597
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 2 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
(/ 1/2 (pow z 2))
Outputs
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(+ (* x y) (pow z 2))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (fma.f64 x y #s(literal 0 binary64)))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(pow z 2)
(fma.f64 z z #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 2 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (pow z 2))
(fma.f64 z (*.f64 z #s(literal 3 binary64)) #s(literal 0 binary64))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))
(/ 1/2 (pow z 2))
(/.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)))

eval61.0ms (0.7%)

Memory
8.3MiB live, 160.2MiB allocated
Compiler

Compiled 6 304 to 534 computations (91.5% saved)

prune48.0ms (0.5%)

Memory
23.4MiB live, 145.0MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New5531554
Fresh000
Picked055
Done055
Total55311564
Accuracy
100.0%
Counts
564 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.8%
(fma.f64 (+.f64 z z) z (*.f64 z z))
✓78.9%
(fma.f64 (+.f64 z z) z (*.f64 x y))
27.0%
(fma.f64 z z (+.f64 z z))
✓99.5%
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
✓80.7%
(fma.f64 x y (*.f64 z z))
✓48.7%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z))
✓48.7%
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
✓30.3%
(*.f64 z z)
✓57.2%
(*.f64 y x)
✓95.9%
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
✓48.7%
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Compiler

Compiled 311 to 115 computations (63% saved)

regimes45.0ms (0.5%)

Memory
-7.9MiB live, 109.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(fma.f64 x y (*.f64 z z))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 x y))
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 z z) x) y))
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (*.f64 z z))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z z) (*.f64 x y)))) (*.f64 z z))
(fma.f64 (*.f64 (fma.f64 z (+.f64 z z) (*.f64 x y)) (fma.f64 z (+.f64 z z) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))))
Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
Calls

6 calls:

10.0ms
y
8.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
6.0ms
x
6.0ms
z
6.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
99.6%1(*.f64 x y)
99.6%1(*.f64 z z)
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes32.0ms (0.3%)

Memory
-5.7MiB live, 71.6MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(fma.f64 x y (*.f64 z z))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 y x (*.f64 (*.f64 z #s(literal 3 binary64)) z))
(fma.f64 z (fma.f64 #s(literal 2 binary64) z z) (*.f64 x y))
Outputs
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
Calls

6 calls:

6.0ms
y
6.0ms
(*.f64 z z)
5.0ms
z
5.0ms
x
5.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
99.5%1(*.f64 x y)
99.5%1(*.f64 z z)
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes28.0ms (0.3%)

Memory
20.9MiB live, 57.8MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(fma.f64 x y (*.f64 z z))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
Outputs
(fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y))
(fma.f64 z z (+.f64 z z))
Calls

6 calls:

7.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
4.0ms
x
4.0ms
y
4.0ms
z
4.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
96.8%1x
99.1%2y
99.5%2z
99.5%2(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
99.5%2(*.f64 x y)
99.5%2(*.f64 z z)
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes34.0ms (0.4%)

Memory
-20.5MiB live, 65.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(fma.f64 x y (*.f64 z z))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
Outputs
(fma.f64 x y (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
Calls

6 calls:

11.0ms
(*.f64 z z)
6.0ms
y
4.0ms
z
4.0ms
x
4.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
Results
AccuracySegmentsBranch
84.3%3x
86.8%3y
85.9%2z
84.4%3(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
89.2%3(*.f64 x y)
85.9%2(*.f64 z z)
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes4.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(fma.f64 x y (*.f64 z z))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
Outputs
(fma.f64 x y (*.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
Calls

1 calls:

4.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
89.1%3(*.f64 x y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
(fma.f64 x y (*.f64 z z))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z z))
Outputs
(fma.f64 x y (*.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(fma.f64 x y (*.f64 z z))
Calls

1 calls:

3.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
89.0%3(*.f64 x y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes88.0ms (0.9%)

Memory
-17.5MiB live, 19.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
(*.f64 #s(literal 3 binary64) (*.f64 z z))
(*.f64 (*.f64 z #s(literal 3 binary64)) z)
Outputs
(*.f64 y x)
(*.f64 #s(literal 3 binary64) (*.f64 z z))
Calls

4 calls:

79.0ms
(*.f64 x y)
3.0ms
y
3.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
73.6%3y
84.2%2z
84.2%2(*.f64 z z)
76.9%3(*.f64 x y)
Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 z z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z z (+.f64 z z))
Outputs
(*.f64 y x)
(*.f64 z z)
Calls

4 calls:

2.0ms
x
2.0ms
z
2.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
57.2%1x
73.2%2(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
77.6%2z
77.6%2(*.f64 z z)
Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes12.0ms (0.1%)

Memory
-18.6MiB live, 18.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y x)
Outputs
(*.f64 y x)
Calls

6 calls:

5.0ms
(*.f64 x y)
1.0ms
y
1.0ms
z
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
1.0ms
x
Results
AccuracySegmentsBranch
57.2%1x
57.2%1y
57.2%1(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
57.2%1(*.f64 x y)
57.2%1z
57.2%1(*.f64 z z)
Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.457188544767739e+306
+inf
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.922717449233311e-133
1.559616621142935e-107
0.0ms
-2.3415554683324087e-130
-1.410276119351329e-137
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.922717449233311e-133
1.559616621142935e-107
0.0ms
-2.3415554683324087e-130
-1.410276119351329e-137
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.922717449233311e-133
1.559616621142935e-107
0.0ms
-2.3415554683324087e-130
-1.410276119351329e-137
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1479335524238243e+89
3.403011487326862e+91
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.363398469759548e+294
6.433577027293361e+299
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035157
141157
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) (fma.f64 z z (+.f64 z z)))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (fma.f64 (+.f64 z z) z (*.f64 z z)) (fma.f64 (+.f64 z z) z (*.f64 x y))))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 z z)) (fma.f64 (+.f64 z z) z (*.f64 x y))))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 z z)) (fma.f64 x y (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (*.f64 y x) (*.f64 z z))
(*.f64 y x)
Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(fma.f64 y x (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 z z) (*.f64 x y)) (fma.f64 z z (+.f64 z z)))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (fma.f64 (+.f64 z z) z (*.f64 z z)) (fma.f64 (+.f64 z z) z (*.f64 x y))))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 z z)) (fma.f64 (+.f64 z z) z (*.f64 x y))))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 (+.f64 z z) z (*.f64 x y))))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 z z)) (fma.f64 x y (*.f64 z z))))
(if (<=.f64 (*.f64 x y) #s(literal -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) (fma.f64 x y (*.f64 z z)) (if (<=.f64 (*.f64 x y) #s(literal 399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (*.f64 (*.f64 z z) #s(literal 3 binary64)) (fma.f64 x y (*.f64 z z))))
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (*.f64 y x) (*.f64 #s(literal 3 binary64) (*.f64 z z)))
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (*.f64 x y) (*.f64 (*.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (*.f64 y x) (*.f64 z z))
(if (<=.f64 (*.f64 z z) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (*.f64 x y) (*.f64 z z))
(*.f64 y x)
(*.f64 x y)

soundness1.0s (11.1%)

Memory
-7.8MiB live, 910.4MiB allocated
Rules
11 884×accelerator-lowering-fma.f32
11 884×accelerator-lowering-fma.f64
10 458×accelerator-lowering-fma.f32
10 458×accelerator-lowering-fma.f64
9 438×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070952
1244844
2752844
32138844
45699844
08153763
01868
19866
073162
02292
115560
2153260
0824255
01737
19137
076436
02813244
18733236
226233216
377023216
086322983
0836
15032
251226
3756926
0817323
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 497 to 231 computations (53.5% saved)

preprocess80.0ms (0.9%)

Memory
16.4MiB live, 134.3MiB allocated
Remove

(sort x y)

(abs z)

Compiler

Compiled 558 to 184 computations (67% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...