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

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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)

sample1.1s (21.3%)

Memory
23.5MiB live, 1 200.5MiB allocated; 243ms collecting garbage
Samples
769.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-mult: 192.0ms (56.8% of total)
ival-add: 136.0ms (40.2% of total)
ival-true: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain201.0ms (4%)

Memory
-35.8MiB live, 179.5MiB allocated; 49ms collecting garbage
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
125.0ms512×0valid
Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 38.0ms (84.7% of total)
ival-add: 6.0ms (13.4% of total)
ival-true: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess85.0ms (1.7%)

Memory
28.3MiB live, 73.0MiB allocated; 24ms collecting garbage
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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
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)

simplify63.0ms (1.3%)

Memory
-15.2MiB live, 29.4MiB allocated; 7ms collecting garbage
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

localize19.0ms (0.4%)

Memory
31.6MiB live, 31.6MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
accuracy0.046875
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Samples
13.0ms256×0valid
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 (44.1% of total)
ival-mult: 3.0ms (44.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-33.6MiB live, 9.1MiB allocated; 12ms collecting garbage
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
19.0ms
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
@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))

simplify164.0ms (3.3%)

Memory
18.2MiB live, 117.7MiB allocated; 22ms collecting garbage
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))

rewrite188.0ms (3.7%)

Memory
-3.4MiB live, 234.4MiB allocated; 38ms collecting garbage
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))))

eval58.0ms (1.1%)

Memory
26.9MiB live, 213.1MiB allocated; 21ms collecting garbage
Compiler

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

prune9.0ms (0.2%)

Memory
2.9MiB live, 47.3MiB allocated; 5ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4643467
Fresh000
Picked101
Done000
Total4653468
Accuracy
100.0%
Counts
468 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify34.0ms (0.7%)

Memory
-39.1MiB live, 75.9MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
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)))
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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01897
02886
16086
218080
347280
484780
5109280
6131880
7140880
8148880
0148880
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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
(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
Outputs
#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
(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

localize83.0ms (1.7%)

Memory
-8.1MiB live, 86.3MiB allocated; 4ms collecting garbage
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y y (*.f64 x x))
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.01171875
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
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)))
accuracy0.08984375
(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))
accuracy28.56589983932065
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Samples
50.0ms256×0valid
Compiler

Compiled 88 to 18 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (52.6% of total)
ival-add: 8.0ms (46.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
10 → 14
Calls
Call 1
Inputs
#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 x x)
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
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))
(pow x 2)
(pow y 2)
(+ (pow x 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 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 3 y)
(* 2 y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((+ (+ (+ (* 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 y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms
y
@inf
((+ (+ (+ (* 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 y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms
y
@0
((+ (+ (+ (* 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 y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms
x
@inf
((+ (+ (+ (* 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 y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))
1.0ms
x
@0
((+ (+ (+ (* 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 y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)))

simplify171.0ms (3.4%)

Memory
21.1MiB live, 259.8MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030108
19288
229388
3194088
4793888
0823780
Stop Event
iter limit
node limit
Counts
14 → 14
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))
(pow x 2)
(pow y 2)
(+ (pow x 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 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 3 y)
(* 2 y)
(* (pow y 2) (+ 3 (/ (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))
(* 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))
(pow x 2)
(*.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) (+ 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 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) 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) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite224.0ms (4.5%)

Memory
-10.2MiB live, 301.7MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01887
02879
113676
2141576
0941973
Stop Event
iter limit
node limit
iter limit
Counts
10 → 657
Calls
Call 1
Inputs
#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 x x)
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y)
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))
(*.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 y (*.f64 #s(literal 3 binary64) y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y)))
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.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 y) (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))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(/.f64 (+.f64 (pow.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (*.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) (*.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(/.f64 (-.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 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 (fma.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (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 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y (*.f64 x x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 x x))
(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 #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 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 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 (*.f64 #s(literal 3 binary64) y)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 x x))
(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 x x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))))
(-.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 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))) (/.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 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(-.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 (*.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 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) y))
(-.f64 (*.f64 x x) (*.f64 #s(literal -3 binary64) (*.f64 y y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(+.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(+.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 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(*.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 x) (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)))
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(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 y y) (*.f64 x x))

eval142.0ms (2.8%)

Memory
-9.8MiB live, 135.2MiB allocated; 51ms collecting garbage
Compiler

Compiled 24 106 to 2 033 computations (91.6% saved)

prune13.0ms (0.3%)

Memory
42.5MiB live, 42.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6803683
Fresh000
Picked123
Done000
Total6815686
Accuracy
100.0%
Counts
686 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
55.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 106 to 55 computations (48.1% saved)

simplify29.0ms (0.6%)

Memory
0.5MiB live, 46.6MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
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 x x)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019106
028102
159102
218092
348892
488892
5114892
6138492
7147492
8155492
0155490
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(*.f64 y y)
y
#s(literal 3 binary64)
(*.f64 x x)
x
(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)
Outputs
#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 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (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 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
y
#s(literal 3 binary64)
(*.f64 x x)
x
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 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)

localize48.0ms (0.9%)

Memory
-36.0MiB live, 65.6MiB allocated; 20ms collecting garbage
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 y y)
accuracy0.01171875
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy28.588164821550812
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
accuracy0.05859375
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.16015625
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
accuracy28.56589983932065
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
Samples
38.0ms256×0valid
Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 15.0ms (67.7% of total)
ival-add: 7.0ms (31.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
10 → 14
Calls
Call 1
Inputs
#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(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(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))
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))
(pow x 2)
(pow y 2)
(+ (pow x 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 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 3 y)
(* 2 y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

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

simplify172.0ms (3.4%)

Memory
11.1MiB live, 154.1MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030108
19288
229388
3194088
4793888
0823780
Stop Event
iter limit
node limit
Counts
14 → 14
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))
(pow x 2)
(pow y 2)
(+ (pow x 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 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 3 y)
(* 2 y)
(* (pow y 2) (+ 3 (/ (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))
(* 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))
(pow x 2)
(*.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) (+ 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 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) 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) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite201.0ms (4%)

Memory
-24.1MiB live, 214.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01997
02893
113088
2139788
0873781
Stop Event
iter limit
node limit
iter limit
Counts
10 → 247
Calls
Call 1
Inputs
#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(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(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))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y))) y)
(*.f64 (fabs.f64 (*.f64 #s(literal 3 binary64) y)) y)
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))))
(*.f64 y (fabs.f64 (*.f64 #s(literal 3 binary64) y)))
(*.f64 y (*.f64 #s(literal 3 binary64) y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y)))
(fabs.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(/.f64 (+.f64 (pow.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (*.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) (*.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(/.f64 (-.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 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 (fma.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 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (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 (*.f64 (*.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
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(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) #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)))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 y y (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y))
(-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))) (/.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))))
(+.f64 (+.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (*.f64 (neg.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(+.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(+.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))
(+.f64 (*.f64 y y) (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) y))
(*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 y #s(literal 2 binary64))
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 0 binary64))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fabs.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 0 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fabs.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 y y))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y y))
(fma.f64 (neg.f64 y) y (*.f64 (neg.f64 y) y))
(fma.f64 y (neg.f64 y) (*.f64 (neg.f64 y) y))
(fma.f64 y y (*.f64 y y))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 y) y))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (*.f64 y y)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(fabs.f64 (*.f64 #s(literal 2 binary64) y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64) (*.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 y y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))

eval82.0ms (1.6%)

Memory
13.1MiB live, 106.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 240 to 775 computations (90.6% saved)

prune8.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2701271
Fresh000
Picked033
Done022
Total2706276
Accuracy
100.0%
Counts
276 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
30.8%
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
55.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 120 to 64 computations (46.7% saved)

simplify53.0ms (1.1%)

Memory
-8.5MiB live, 48.6MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
01230
12730
27530
314130
418830
519030
019028
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
#s(literal 2 binary64)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
Outputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
y
#s(literal 2 binary64)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)

localize25.0ms (0.5%)

Memory
-19.2MiB live, 27.3MiB allocated; 3ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0078125
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy28.588164821550812
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
Samples
20.0ms256×0valid
Compiler

Compiled 25 to 10 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (81.5% of total)
ival-add: 2.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
3 → 13
Calls
Call 1
Inputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
Outputs
(+ (* 2 y) (pow y 2))
(+ (* 2 y) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 2 y) (pow x 2))
(+ (* y (+ 2 y)) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))
Calls

6 calls:

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

simplify199.0ms (4%)

Memory
15.1MiB live, 151.3MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040109
112695
244895
3237495
0859486
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(+ (* 2 y) (pow y 2))
(+ (* 2 y) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 2 y) (pow x 2))
(+ (* y (+ 2 y)) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))
Outputs
(+ (* 2 y) (pow y 2))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+ (* 2 y) (+ (pow x 2) (pow y 2)))
(fma.f64 (+.f64 #s(literal 2 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)
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) y) x) x) y #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(+ (* 2 y) (pow x 2))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(+ (* y (+ 2 y)) (pow x 2))
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) y))))
(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))

rewrite137.0ms (2.7%)

Memory
3.2MiB live, 90.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
01228
15428
247628
3727028
0820726
Stop Event
iter limit
node limit
iter limit
Counts
3 → 84
Calls
Call 1
Inputs
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
Outputs
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (neg.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 (*.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(*.f64 (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))) (*.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y))) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (*.f64 #s(literal 2 binary64) y)))
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(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 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(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 (neg.f64 y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.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))))

eval10.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 262 to 306 computations (94.2% saved)

prune20.0ms (0.4%)

Memory
-34.4MiB live, 10.9MiB allocated; 6ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New87390
Fresh000
Picked101
Done055
Total88896
Accuracy
100.0%
Counts
96 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
99.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
55.2%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
55.3%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
71.0%
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
30.8%
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
57.6%
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
Compiler

Compiled 356 to 129 computations (63.8% saved)

regimes17.0ms (0.3%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.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))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.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)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.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))
Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
Calls

5 calls:

4.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 x x)
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(*.f64 x x)
100.0%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes40.0ms (0.8%)

Memory
-24.3MiB live, 29.3MiB allocated; 14ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.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))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.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)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (*.f64 y y) #s(literal 3 binary64) (*.f64 x x)))
Calls

5 calls:

28.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
y
3.0ms
x
3.0ms
(*.f64 y y)
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(*.f64 x x)
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1x
99.9%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes14.0ms (0.3%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.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))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.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)))
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:

3.0ms
x
3.0ms
y
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
2.0ms
(*.f64 x x)
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(*.f64 x x)
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1x
99.9%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes42.0ms (0.8%)

Memory
-14.7MiB live, 29.6MiB allocated; 7ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.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))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Outputs
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
Calls

5 calls:

32.0ms
x
3.0ms
y
2.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
2.0ms
(*.f64 x x)
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
84.4%2(*.f64 y y)
88.4%2(*.f64 x x)
82.1%3(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
88.4%2x
84.4%2y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.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))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
88.3%2(*.f64 x x)
88.3%2x
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes23.0ms (0.5%)

Memory
-22.4MiB live, 19.7MiB allocated; 13ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.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))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
Outputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Calls

4 calls:

17.0ms
(*.f64 y y)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
84.4%2(*.f64 y y)
84.4%2y
82.9%2(*.f64 x x)
82.9%2x
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
Outputs
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) 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 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
59.3%2(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
61.8%2(*.f64 x x)
61.8%2x
76.0%2(*.f64 y y)
76.0%2y
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x x)
1.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
57.6%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
57.6%1(*.f64 x x)
57.6%1x
57.6%1(*.f64 y y)
57.6%1y
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch30.0ms (0.6%)

Memory
-11.2MiB live, 34.9MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
1.624874907206104e-68
1.8773442453505453e-63
Samples
23.0ms144×0valid
Compiler

Compiled 342 to 228 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 18.0ms (92.4% of total)
ival-add: 2.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.624874907206104e-68
1.8773442453505453e-63
Compiler

Compiled 387 to 246 computations (36.4% saved)

bsearch26.0ms (0.5%)

Memory
-20.1MiB live, 38.3MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
52573534808690.07
30383772533097450.0
Samples
20.0ms128×0valid
Compiler

Compiled 306 to 196 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.8% of total)
ival-add: 1.0ms (30.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.7%)

Memory
-14.6MiB live, 31.7MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
1.830182646611841e+118
2.2202006515397148e+122
Samples
6.0ms128×0valid
Compiler

Compiled 274 to 204 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.6% of total)
ival-add: 1.0ms (30.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify43.0ms (0.8%)

Memory
4.8MiB live, 50.3MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042235
169215
2181207
3478207
4962207
51449207
62339207
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 y y) #s(literal 3 binary64) (*.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 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 y #s(literal 76000000000000 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 145999999999999998800630340712107006231761229639528449252966395403503615338796223458051414566142502256711221809031512326144 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))
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 y y) #s(literal 3 binary64) (*.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 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 x #s(literal 6669624340069413/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))))
(if (<=.f64 y #s(literal 76000000000000 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 145999999999999998800630340712107006231761229639528449252966395403503615338796223458051414566142502256711221809031512326144 binary64)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x)) #s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 (+.f64 #s(literal 2 binary64) y) y)))
#s(approx (+ (* y 2) (+ (* y y) (* x x))) (*.f64 x x))

derivations1.1s (22.4%)

Memory
-8.2MiB live, 961.9MiB allocated; 159ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01997
02893
113088
2139788
0873781
01887
02879
113676
2141576
0941973
030121
193105
2321105
32169105
0845995
040109
112695
244895
3237495
0859486
030108
19288
229388
3194088
4793888
0823780
0739
01239
16635
272035
0941331
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 235 to 43 computations (81.7% saved)

preprocess66.0ms (1.3%)

Memory
4.4MiB live, 196.2MiB allocated; 22ms collecting garbage
Remove

(abs x)

(abs y)

Compiler

Compiled 566 to 138 computations (75.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...