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

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
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 9 computations (47.1% saved)

sample741.0ms (9.6%)

Memory
51.4MiB live, 1 064.4MiB allocated
Samples
489.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-mult: 144.0ms (53.8% of total)
ival-add: 113.0ms (42.2% of total)
ival-true: 7.0ms (2.6% of total)
ival-assert: 4.0ms (1.5% of total)
Bogosity

explain252.0ms (3.3%)

Memory
-248.1MiB live, 105.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
179.0ms512×0valid
Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-add: 157.0ms (95.1% of total)
ival-mult: 7.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess72.0ms (0.9%)

Memory
-9.9MiB live, 68.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977
18367
224247
353545
4124945
5181645
6228145
7247045
8262245
0715
01215
13013
21059
33129
46959
59989
612509
713589
814389
014388
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify28.0ms (0.4%)

Memory
1.8MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff1
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff2
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
cost-diff4
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0741
01241
13037
210533
331233
469533
599833
6125033
7135833
8143833
0143830
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize20.0ms (0.3%)

Memory
7.5MiB live, 45.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0625
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Samples
14.0ms256×0valid
Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.3% of total)
ival-mult: 3.0ms (45.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
5 → 15
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

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

simplify210.0ms (2.7%)

Memory
13.4MiB live, 256.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030121
193105
2321105
32169105
0845995
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite121.0ms (1.6%)

Memory
-1.0MiB live, 158.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0739
01239
16635
272035
0941331
Stop Event
iter limit
node limit
iter limit
Counts
5 → 422
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (fma.f64 x x (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 y y (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))))))
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(fma.f64 (/.f64 x (neg.f64 (+.f64 x y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) (neg.f64 y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fma.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 (neg.f64 y)) y (*.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 y (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) y))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))

eval52.0ms (0.7%)

Memory
-18.4MiB live, 93.9MiB allocated
Compiler

Compiled 12 610 to 1 332 computations (89.4% saved)

prune9.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4625467
Fresh000
Picked101
Done000
Total4635468
Accuracy
100.0%
Counts
468 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
24.5%
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
92.6%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
55.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 212 to 104 computations (50.9% saved)

simplify166.0ms (2.1%)

Memory
-11.0MiB live, 190.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
cost-diff1
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
cost-diff3
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
cost-diff6
(*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
cost-diff1
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff1
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff2
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
cost-diff4
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 y y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(+.f64 y y)
cost-diff3
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032258
054203
1121197
2514191
32487183
47714183
08212178
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
y
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
y
(*.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(*.f64 x x)
Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
y
(*.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 x x)

localize92.0ms (1.2%)

Memory
-11.2MiB live, 102.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.11785126953688403
(*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
accuracy3.343735550811441
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
accuracy6.996060723283294
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
accuracy41.843381758335326
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0625
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
accuracy12.812162632328715
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
accuracy0.046875
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
accuracy0.0
(*.f64 y y)
accuracy0.140625
(*.f64 #s(literal 3 binary64) (*.f64 y y))
accuracy28.764187465140537
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
accuracy0.0
(fma.f64 y y (*.f64 x x))
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.03125
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
Samples
55.0ms256×0valid
Compiler

Compiled 258 to 31 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 11.0ms (33.3% of total)
ival-mult: 11.0ms (33.3% of total)
ival-pow: 5.0ms (15.1% of total)
ival-div: 2.0ms (6.1% of total)
ival-sub: 2.0ms (6.1% of total)
ival-sqrt: 2.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
27.4MiB live, 27.4MiB allocated
Counts
19 → 32
Calls
Call 1
Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(- (pow x 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(* -1 (+ (* 2 (pow y 2)) (pow y 2)))
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* 2 y)
(* 3 y)
(* 9 (pow y 4))
(+ (* -9 (pow y 4)) (pow x 4))
(+ (* -3 (pow y 2)) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* -9 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 9))
(* -3 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y))))))
3.0ms
y
@0
((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y))))))
2.0ms
y
@-inf
((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y))))))
2.0ms
x
@0
((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y))))))
2.0ms
x
@inf
((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (sqrt (pow y 4)) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (/ (- (pow x 4) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y))))) (- (* x x) (+ (* y y) (* 2 (* y y))))))

simplify192.0ms (2.5%)

Memory
-29.8MiB live, 220.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065302
1190290
2630278
34144278
08553262
Stop Event
iter limit
node limit
Counts
32 → 32
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(- (pow x 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(* -1 (+ (* 2 (pow y 2)) (pow y 2)))
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* 2 y)
(* 3 y)
(* 9 (pow y 4))
(+ (* -9 (pow y 4)) (pow x 4))
(+ (* -3 (pow y 2)) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* -9 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 9))
(* -3 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (+ (* 2 (pow y 2)) (pow y 2)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 9 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* -9 (pow y 4)) (pow x 4))
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ (* -3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 2 binary64)) (*.f64 y y))
(* -9 (pow y 4))
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 9))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 3 binary64)) (*.f64 y y))

rewrite379.0ms (4.9%)

Memory
3.1MiB live, 319.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032218
054136
1267130
22307130
08617128
Stop Event
iter limit
node limit
iter limit
Counts
19 → 3 070
Calls
Call 1
Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))) (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))))
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(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 y y) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(fma.f64 (*.f64 y y) (pow.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))))
(fma.f64 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y))) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (fabs.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 x x))
(fma.f64 y (fabs.f64 (fma.f64 #s(literal 2 binary64) y y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (fma.f64 #s(literal 2 binary64) y y)) (*.f64 x x))
(fma.f64 y (fabs.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y))) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y))) (*.f64 x x))
(fma.f64 y (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y))) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (sqrt.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y))) (*.f64 x x))
(fma.f64 y (pow.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (pow.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y (pow.f64 (fma.f64 #s(literal 2 binary64) y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (pow.f64 (fma.f64 #s(literal 2 binary64) y y) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y (pow.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (pow.f64 (+.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (*.f64 #s(literal 3 binary64) y) (*.f64 x x))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))))
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))
(-.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 y) y))
(-.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 y) y)))
(-.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))
(-.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 x x)))
(-.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (/.f64 (neg.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 x x))
(+.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 y y)))
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y))
(+.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))

eval413.0ms (5.3%)

Memory
-0.3MiB live, 308.8MiB allocated
Compiler

Compiled 48 935 to 4 753 computations (90.3% saved)

prune65.0ms (0.8%)

Memory
23.6MiB live, 101.0MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 81451 819
Fresh000
Picked325
Done000
Total1 81771 824
Accuracy
100.0%
Counts
1 824 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
24.7%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
30.8%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
55.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
55.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
83.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
Compiler

Compiled 303 to 157 computations (48.2% saved)

simplify197.0ms (2.5%)

Memory
-25.6MiB live, 64.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
cost-diff3
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
cost-diff3
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))
cost-diff15
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff0
(+.f64 y y)
cost-diff0
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
cost-diff1
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
cost-diff0
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
cost-diff0
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040306
066269
1145254
2488254
32286252
08504249
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
#s(literal 3 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(literal -3 binary64)
(*.f64 y y)
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) x)))
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64)) x) x)
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 y x)
y
x
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y))
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
y
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 #s(literal -9 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
#s(literal -3 binary64)
(*.f64 y y)
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
#s(literal 2 binary64)

localize89.0ms (1.1%)

Memory
26.6MiB live, 63.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 #s(literal -3 binary64) (*.f64 y y))
accuracy1.999977980844482
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))
accuracy3.343735550811441
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
accuracy41.843381758335326
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 y y)
accuracy0.03125
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy28.77503953435492
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy0.0
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy44.297149498519396
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.109375
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
accuracy28.764187465140537
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
accuracy0.0
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
accuracy0.1015625
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
accuracy0.22265625
(*.f64 #s(literal 3 binary64) (/.f64 y x))
accuracy9.658876480137291
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
Samples
68.0ms256×0valid
Compiler

Compiled 262 to 34 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 31.0ms (58.8% of total)
ival-mult: 17.0ms (32.2% of total)
ival-div: 3.0ms (5.7% of total)
ival-sub: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.9%)

Memory
-17.5MiB live, 20.9MiB allocated
Counts
21 → 46
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (/ (pow y 2) (pow x 2)))
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2)))))) (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))) (/ 1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2))))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(* -9 (pow y 4))
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (* 3 (pow y 2)))))
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)))))
(* -1 (+ (* 2 (pow y 2)) (pow y 2)))
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))
(* 3 (/ y x))
(* -3 (pow y 2))
(+ (* -3 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* 3 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (+ (* 3 (/ (pow y 2) (pow x 2))) (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (* -9 (pow y 4)) (* -1 (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2)))))))) (pow x 6)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))))
(* (pow x 4) (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -3 (/ (pow y 2) (pow x 2)))))
(* 3 y)
(* 2 y)
(* y (+ 2 y))
(+ (* (pow y 2) (+ (* -3 (pow x 2)) (* 3 (pow x 2)))) (pow x 4))
(+ (* (pow y 2) (+ (* -9 (pow y 2)) (+ (* -3 (pow x 2)) (* 3 (pow x 2))))) (pow x 4))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (* 3 (/ (pow x 2) (pow y 2)))) 9))
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (+ (* 3 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))) 9))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y)))
5.0ms
y
@-inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y)))
4.0ms
x
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y)))
3.0ms
y
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y)))
3.0ms
y
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* (+ (* (* 3 (/ y x)) (/ y x)) 1) (* x x)) (+ (* (* 3 (/ y x)) (/ y x)) 1) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (/ (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (- (* x x) (+ (* y y) (* 2 (* y y))))) (* (+ (* (* 3 y) y) (* x x)) (+ (* x x) (* -3 (* y y)))) (+ (* y y) (* 2 (* y y))) (- (* x x) (+ (* y y) (* 2 (* y y)))) (* 3 (/ y x)) (+ (* x x) (* -3 (* y y))) (* -3 (* y y)))

simplify210.0ms (2.7%)

Memory
11.1MiB live, 92.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151827
1509651
22464578
09332543
Stop Event
iter limit
node limit
Counts
46 → 46
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (/ (pow y 2) (pow x 2)))
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2)))))) (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))) (/ 1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2))))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(* -9 (pow y 4))
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (* 3 (pow y 2)))))
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)))))
(* -1 (+ (* 2 (pow y 2)) (pow y 2)))
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))
(* 3 (/ y x))
(* -3 (pow y 2))
(+ (* -3 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* 3 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (+ (* 3 (/ (pow y 2) (pow x 2))) (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (* -9 (pow y 4)) (* -1 (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2)))))))) (pow x 6)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))))
(* (pow x 4) (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -3 (/ (pow y 2) (pow x 2)))))
(* 3 y)
(* 2 y)
(* y (+ 2 y))
(+ (* (pow y 2) (+ (* -3 (pow x 2)) (* 3 (pow x 2)))) (pow x 4))
(+ (* (pow y 2) (+ (* -9 (pow y 2)) (+ (* -3 (pow x 2)) (* 3 (pow x 2))))) (pow x 4))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (* 3 (/ (pow x 2) (pow y 2)))) 9))
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (+ (* 3 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))) 9))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(* 3 (/ (pow y 2) (pow x 2)))
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y)
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 x x) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2)))))) (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 x x) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))))
(+ (* 9 (/ (pow y 4) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (+ (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))) (/ 1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))) (+ (* -1 (/ (- (* -1 (/ (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (+ (* 2 (pow y 2)) (pow y 2)))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)))) (+ (* 2 (pow y 2)) (pow y 2)))) (/ 1 (+ (* 2 (pow y 2)) (pow y 2))))))) (* -9 (/ (pow y 4) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 x x) (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))))
(* -9 (pow y 4))
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (* 3 (pow y 2)))))
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))
(+ (* -9 (pow y 4)) (* (pow x 2) (+ (* -3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)))))
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (+ (* 2 (pow y 2)) (pow y 2)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (/ y x))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(* -3 (pow y 2))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(+ (* -3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ (pow y 2) (pow x 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -9 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x))
(* (pow x 2) (- (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (+ (* 3 (/ (pow y 2) (pow x 2))) (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (* -9 (pow y 4)) (* -1 (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2)))))))) (pow x 6)))))) (+ (* -1 (/ (* (+ (* 2 (pow y 2)) (pow y 2)) (- (+ (* -3 (pow y 2)) (* 3 (pow y 2))) (* -1 (+ (* 2 (pow y 2)) (pow y 2))))) (pow x 4))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))
(*.f64 x (fma.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -9 binary64) (*.f64 (*.f64 y y) (fma.f64 #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x x))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2))))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -9 (/ (pow y 4) (pow x 4))) (+ (* -3 (/ (pow y 2) (pow x 2))) (* 3 (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -3 (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (*.f64 y y) x) #s(literal 1 binary64)) (*.f64 x x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+ (* (pow y 2) (+ (* -3 (pow x 2)) (* 3 (pow x 2)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* (pow y 2) (+ (* -9 (pow y 2)) (+ (* -3 (pow x 2)) (* 3 (pow x 2))))) (pow x 4))
(fma.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (*.f64 y y))
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) y) y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) y) y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y))
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (* 3 (/ (pow x 2) (pow y 2)))) 9))
(*.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -3 (/ (pow x 2) (pow y 2))) (+ (* 3 (/ (pow x 2) (pow y 2))) (/ (pow x 4) (pow y 4)))) 9))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 3))
(*.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 3 binary64)) (*.f64 y y))

rewrite506.0ms (6.5%)

Memory
-16.9MiB live, 266.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040264
066245
1283199
22819199
010120190
Stop Event
iter limit
node limit
iter limit
Counts
21 → 2 959
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) y)
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))
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(fma.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal -2 binary64) (*.f64 y y)))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal -3 binary64) y) y (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal -3 binary64) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal -3 binary64) y) (*.f64 x x))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y))
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))))) (/.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))))))
(-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(-.f64 (-.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y y)) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) y)) y))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -3 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(-.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 y y))
(-.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 (neg.f64 y) y (*.f64 y y)))
(+.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))) (/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #s(literal -3 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #s(literal -3 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(+.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) #s(literal -3 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64)))) (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y))) (*.f64 #s(literal -3 binary64) (*.f64 y y))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))))
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y))
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))
(+.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 y y)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 x x) (fma.f64 y y #s(literal 0 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(+.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) (*.f64 (neg.f64 y) y))
(+.f64 (fma.f64 x x (*.f64 y y)) #s(literal 0 binary64))
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -3 binary64) y) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -3 binary64))
(*.f64 y (*.f64 #s(literal -3 binary64) y))

eval810.0ms (10.5%)

Memory
42.7MiB live, 298.8MiB allocated
Compiler

Compiled 56 009 to 5 157 computations (90.8% saved)

prune56.0ms (0.7%)

Memory
2.8MiB live, 128.3MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New1 75161 757
Fresh000
Picked235
Done022
Total1 753111 764
Accuracy
100.0%
Counts
1 764 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
55.0%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
14.1%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #s(approx (- (* x x) (+ (* y y) (* 2 (* y y)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
30.8%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
55.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
61.1%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
55.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
38.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
83.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
6.1%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
Compiler

Compiled 388 to 203 computations (47.7% saved)

simplify81.0ms (1%)

Memory
-7.2MiB live, 72.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 2 binary64) y)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
cost-diff1
(fma.f64 y y #s(literal 0 binary64))
cost-diff1
(fabs.f64 (fma.f64 y y #s(literal 0 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
cost-diff0
(*.f64 x x)
cost-diff0
(+.f64 #s(literal 2 binary64) y)
cost-diff0
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023146
030138
170129
2238113
3880113
41943113
52732113
63375113
73980113
84513113
94605113
104605113
04605109
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(fabs.f64 (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y #s(literal 0 binary64))
y
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
Outputs
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(fma.f64 (-.f64 y #s(literal -2 binary64)) y (*.f64 x x))
(+.f64 #s(literal 2 binary64) y)
(-.f64 y #s(literal -2 binary64))
#s(literal 2 binary64)
y
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 y #s(literal 2 binary64))))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (* y y) (* 2 y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(fabs.f64 (fma.f64 y y #s(literal 0 binary64)))
(*.f64 y y)
(fma.f64 y y #s(literal 0 binary64))
(*.f64 y y)
y
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
(+.f64 #s(literal 2 binary64) y)
(-.f64 y #s(literal -2 binary64))
#s(literal 2 binary64)
y

localize45.0ms (0.6%)

Memory
5.3MiB live, 80.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 2 binary64) y)
accuracy0.0078125
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
accuracy44.297149498519396
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
accuracy0.0
(fma.f64 y y #s(literal 0 binary64))
accuracy0.0
(fabs.f64 (fma.f64 y y #s(literal 0 binary64)))
accuracy39.545161110315156
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
accuracy0.0
(*.f64 x x)
accuracy24.911464880762868
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy28.759267679072646
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
accuracy44.297149498519396
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
accuracy0.0
(+.f64 #s(literal 2 binary64) y)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
Samples
34.0ms256×0valid
Compiler

Compiled 119 to 18 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-add: 10.0ms (56.1% of total)
ival-mult: 6.0ms (33.7% of total)
ival-fabs: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-22.0MiB live, 14.3MiB allocated
Counts
12 → 21
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+.f64 #s(literal 2 binary64) y)
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(fabs.f64 (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
Outputs
(* y (+ 2 y))
(+ (* y (+ 2 y)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* (pow x 2) (+ 1 (/ (* y (+ 2 y)) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(+ (* 2 y) (pow x 2))
2
(+ 2 y)
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(fabs (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
y
(* y (+ 1 (* 2 (/ 1 y))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y))
1.0ms
y
@-inf
((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y))
1.0ms
y
@0
((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y))
1.0ms
x
@-inf
((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y))
1.0ms
x
@0
((+ (* (+ 2 y) y) (* x x)) (+ 2 y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 2 y)) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs (+ (* y y) 0)) (+ (* y y) 0) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y))

simplify202.0ms (2.6%)

Memory
-0.4MiB live, 255.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046159
1152151
2537143
33126143
08434134
Stop Event
iter limit
node limit
Counts
21 → 20
Calls
Call 1
Inputs
(* y (+ 2 y))
(+ (* y (+ 2 y)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* (pow x 2) (+ 1 (/ (* y (+ 2 y)) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(+ (* 2 y) (pow x 2))
2
(+ 2 y)
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(fabs (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
y
(* y (+ 1 (* 2 (/ 1 y))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))
Outputs
(* y (+ 2 y))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
(+ (* y (+ 2 y)) (pow x 2))
(fma.f64 (-.f64 y #s(literal -2 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (* y (+ 2 y)) (pow x 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) (-.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 y)
(-.f64 y #s(literal -2 binary64))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(fabs (pow y 2))
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (/.f64 (*.f64 x x) y) y (*.f64 (-.f64 y #s(literal -2 binary64)) y))
y
(* y (+ 1 (* 2 (/ 1 y))))
(-.f64 y #s(literal -2 binary64))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))
(fma.f64 (/.f64 (*.f64 x x) y) y (*.f64 (-.f64 y #s(literal -2 binary64)) y))

rewrite176.0ms (2.3%)

Memory
-2.2MiB live, 317.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023130
030122
1150113
21686113
08770105
Stop Event
iter limit
node limit
iter limit
Counts
12 → 1 134
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(+.f64 #s(literal 2 binary64) y)
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(fabs.f64 (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y #s(literal 0 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 y #s(literal 2 binary64)) y (*.f64 (neg.f64 x) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 #s(literal -2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) y (*.f64 (neg.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x)) (*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y) (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 y #s(literal 2 binary64))) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64))) (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) (+.f64 y #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (*.f64 y #s(literal 2 binary64))) (fma.f64 x x (*.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 x x (*.f64 y #s(literal 2 binary64))) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) (*.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 x x (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 x x)) (fma.f64 y #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) (*.f64 x x))))))
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(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) y (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (neg.f64 y) y (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) y (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (-.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) (/.f64 (neg.f64 y) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 y (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 y (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) (/.f64 y (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 y y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) (/.f64 y y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (+.f64 y #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64)))
(fma.f64 y (/.f64 (*.f64 y y) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 y (/.f64 (*.f64 y y) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (/.f64 (*.f64 y y) (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 y (/.f64 (*.f64 y y) (-.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64)))))
(fma.f64 y (-.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 y (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 y (neg.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 y (neg.f64 y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 y (+.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y y (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 y y (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(fma.f64 y y (*.f64 y #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) y (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y))))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (*.f64 (+.f64 y #s(literal 2 binary64)) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y)))
(-.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64)) (*.f64 y (-.f64 y #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (*.f64 y (/.f64 #s(literal 4 binary64) (-.f64 y #s(literal 2 binary64)))))
(-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y y))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) y))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 y y))
(+.f64 (fma.f64 y y y) y)
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y #s(literal 2 binary64)) y) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) (*.f64 y (-.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 y #s(literal 2 binary64)) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 y #s(literal 2 binary64)) y))
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y y))
(+.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)))
(+.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64)))
(+.f64 y (+.f64 y (*.f64 y y)))

eval136.0ms (1.8%)

Memory
0.3MiB live, 239.9MiB allocated
Compiler

Compiled 24 546 to 2 015 computations (91.8% saved)

prune23.0ms (0.3%)

Memory
-14.9MiB live, 68.1MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New8913894
Fresh011
Picked235
Done055
Total89312905
Accuracy
100.0%
Counts
905 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
52.4%
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
55.0%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
14.1%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #s(approx (- (* x x) (+ (* y y) (* 2 (* y y)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
30.8%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
55.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
38.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
61.1%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
55.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
83.4%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
6.1%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
Compiler

Compiled 702 to 221 computations (68.5% saved)

regimes29.0ms (0.4%)

Memory
20.9MiB live, 60.0MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* (* 3 y) y) (* x x)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) #s(approx (- (* x x) (+ (* y y) (* 2 (* y y)))) (*.f64 #s(literal -3 binary64) (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -3 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (-.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
Calls

5 calls:

7.0ms
y
6.0ms
x
5.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
5.0ms
(*.f64 x x)
5.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
100.0%1(*.f64 x x)
100.0%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes21.0ms (0.3%)

Memory
5.2MiB live, 44.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
Calls

5 calls:

4.0ms
(*.f64 x x)
4.0ms
x
4.0ms
y
4.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1(*.f64 x x)
99.9%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes20.0ms (0.3%)

Memory
0.6MiB live, 42.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
Outputs
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
Calls

5 calls:

5.0ms
(*.f64 x x)
4.0ms
x
4.0ms
y
4.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
90.1%2x
86.0%2y
86.1%3(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
90.1%2(*.f64 x x)
86.0%2(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes15.0ms (0.2%)

Memory
-7.5MiB live, 31.6MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Calls

4 calls:

4.0ms
x
4.0ms
y
3.0ms
(*.f64 x x)
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
86.0%2y
86.0%2(*.f64 y y)
84.0%2x
84.0%2(*.f64 x x)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Calls

2 calls:

3.0ms
y
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
86.0%2y
86.0%2(*.f64 y y)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.2%)

Memory
-11.9MiB live, 27.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
Calls

5 calls:

3.0ms
(*.f64 y y)
2.0ms
y
2.0ms
x
2.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
69.1%2x
69.1%2(*.f64 x x)
61.1%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
80.0%2y
80.0%2(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes7.0ms (0.1%)

Memory
-21.6MiB live, 17.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (*.f64 #s(literal 2 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
Calls

4 calls:

2.0ms
x
2.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
61.1%1x
61.1%1(*.f64 x x)
61.1%1y
61.1%1(*.f64 y y)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 x x)
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
6.1%1x
6.1%1(*.f64 x x)
6.1%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
6.1%1(*.f64 y y)
6.1%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch11.0ms (0.1%)

Memory
-21.6MiB live, 19.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
5.633513376764953e-90
7.007359790549131e-88
Samples
5.0ms112×0valid
Compiler

Compiled 172 to 124 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (43.9% of total)
ival-mult: 1.0ms (43.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.572072848359377e-30
1.9365454536335775e-10
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.572072848359377e-30
1.9365454536335775e-10
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3287680957808258e+303
+inf
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify38.0ms (0.5%)

Memory
6.1MiB live, 45.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040240
170224
2173208
3427208
4829208
51238208
62240208
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(if (<=.f64 (*.f64 y y) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))
Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(if (<=.f64 (*.f64 y y) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(if (<=.f64 (*.f64 y y) #s(literal 4000000000000000000647060307145825752850674584926637753181980068404469996902954991461040972136855661015119094272721349664109783282271116798573566166424104274444602984489139904709026600176802109107229308270761848450645710000788204905959593042715053565797504354189169283256511829945322621875676489053110272 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (+ (* y y) (* 2 y)) (+.f64 y y)))

soundness2.0s (26%)

Memory
23.2MiB live, 1 169.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151827
1509651
22464578
09332543
0739
01239
16635
272035
0941331
023130
030122
1150113
21686113
08770105
065302
1190290
2630278
34144278
08553262
040264
066245
1283199
22819199
010120190
030121
193105
2321105
32169105
0845995
032218
054136
1267130
22307130
08617128
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 526 to 220 computations (58.2% saved)

preprocess122.0ms (1.6%)

Memory
-0.2MiB live, 117.0MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 580 to 134 computations (76.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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