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

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample670.0ms (11.9%)

Memory
11.9MiB live, 1 045.8MiB allocated
Samples
461.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-mult: 133.0ms (52.3% of total)
ival-add: 113.0ms (44.4% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain94.0ms (1.7%)

Memory
12.3MiB live, 172.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 142 to 32 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (55.5% of total)
ival-add: 6.0ms (41.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (0.7%)

Memory
-20.7MiB live, 55.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977
16467
217147
353145
4112145
5133745
6134845
0715
01215
11813
2289
3409
4489
5519
0518
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
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff192
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
cost-diff512
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0741
01241
11837
22833
34033
44833
55133
05130
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

localize18.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy0.06640625
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Samples
12.0ms256×0valid
Compiler

Compiled 84 to 16 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (46.4% of total)
ival-mult: 3.0ms (46.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.9%)

Memory
-35.3MiB live, 6.6MiB allocated
Counts
5 → 15
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
44.0ms
y
@0
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
2.0ms
y
@inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms
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
@-inf
((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))

simplify191.0ms (3.4%)

Memory
25.5MiB live, 140.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030121
186105
2215105
3851105
42006105
52640105
64156105
75632105
86621105
97899105
0802095
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 #s(literal 3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 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 #s(literal 3 binary64) (*.f64 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))

rewrite260.0ms (4.6%)

Memory
8.8MiB live, 171.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0739
01239
15435
251729
3767029
0827726
Stop Event
iter limit
node limit
iter limit
Counts
5 → 337
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 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)))) (fma.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(*.f64 (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (/.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 6 binary64))))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) y (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y 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 y y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 y y (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(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 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval90.0ms (1.6%)

Memory
-34.0MiB live, 47.5MiB allocated
Compiler

Compiled 10 037 to 1 079 computations (89.2% saved)

prune8.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3497356
Fresh000
Picked101
Done000
Total3507357
Accuracy
100.0%
Counts
357 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.2%
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)))
100.0%
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
99.9%
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
99.9%
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
26.1%
(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 y y)) (*.f64 y y))
98.4%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 218 to 140 computations (35.8% saved)

simplify5.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff192
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
cost-diff512
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
cost-diff12800
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
cost-diff64
(fma.f64 #s(literal 2 binary64) y y)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 y y))
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff384
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025148
041129
170122
294122
398122
098121
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
y
(fma.f64 #s(literal 2 binary64) y y)
#s(literal 2 binary64)
(*.f64 x x)
x
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(+.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
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
#s(literal 2 binary64)
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
y
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 y y)
y
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
#s(literal 3 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
y
(fma.f64 #s(literal 2 binary64) y y)
(*.f64 #s(literal 3 binary64) y)
#s(literal 2 binary64)
(*.f64 x x)
x
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 y y)
(*.f64 (log.f64 y) #s(literal 2 binary64))
(log.f64 y)
#s(literal 2 binary64)

localize76.0ms (1.3%)

Memory
12.3MiB live, 50.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 y)
accuracy0.0078125
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy0.06640625
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
accuracy3.0289921922099183
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
accuracy0.0
(fma.f64 #s(literal 2 binary64) y y)
accuracy0.0
(*.f64 x x)
accuracy0.0546875
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0625
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
accuracy0.0
(*.f64 y y)
accuracy0.14453125
(*.f64 #s(literal 3 binary64) (*.f64 y y))
accuracy26.854623636571485
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 2 binary64) y)
accuracy0.0078125
(fma.f64 y y (*.f64 x x))
accuracy0.0390625
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
Samples
59.0ms256×0valid
Compiler

Compiled 299 to 49 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 29.0ms (65% of total)
ival-add: 9.0ms (20.2% of total)
ival-log: 3.0ms (6.7% of total)
ival-exp: 3.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series138.0ms (2.5%)

Memory
-24.5MiB live, 52.1MiB allocated
Counts
15 → 24
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y y)
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(log.f64 y)
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* y (+ y (* 2 y)))
(+ (* y (+ y (* 2 y))) (pow x 2))
(* 2 (pow y 2))
(+ (* 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 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* 2 y)
(* 3 y)
(log y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
Calls

6 calls:

TimeVariablePointExpression
64.0ms
y
@0
((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y))
63.0ms
y
@-inf
((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y))
7.0ms
y
@inf
((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y))
1.0ms
x
@0
((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y))
1.0ms
x
@inf
((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (* 3 (* y y)) (* x x)) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (exp (* (log y) 2)) (+ (+ (+ (* x x) (* y y)) (* y y)) (exp (* (log y) 2))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (log y))

simplify216.0ms (3.8%)

Memory
6.0MiB live, 117.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051183
1136154
2311154
31082154
42482154
53224154
65220154
77159154
08107141
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* y (+ y (* 2 y)))
(+ (* y (+ y (* 2 y))) (pow x 2))
(* 2 (pow y 2))
(+ (* 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 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* 2 y)
(* 3 y)
(log y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* -1 (log (/ 1 y)))
(+ (log -1) (* -1 (log (/ -1 y))))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* y (+ y (* 2 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(+ (* y (+ y (* 2 y))) (pow x 2))
(fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 #s(literal 2 binary64) 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 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(* (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 (/ (* y (+ y (* 2 y))) (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 #s(literal 2 binary64) y) y (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(log y)
(log.f64 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 x x (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 x x))
(* -1 (log (/ 1 y)))
(log.f64 y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))

rewrite306.0ms (5.5%)

Memory
5.9MiB live, 91.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025115
04196
115989
2119787
0848186
Stop Event
iter limit
node limit
iter limit
Counts
15 → 968
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y y)
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(log.f64 y)
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x)))
(*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 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 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 y y))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 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))) (pow.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))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))))))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.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 #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))) (fma.f64 (/.f64 (pow.f64 x #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 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 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.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 y y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 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 (+.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.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 (-.f64 (*.f64 (pow.f64 (fma.f64 x x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x x (*.f64 y y)))))
(/.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 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 (+.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 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (+.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 (fma.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))))
(/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (fma.f64 #s(literal 0 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 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 #s(literal 0 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 (fma.f64 #s(literal 0 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 #s(literal 0 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (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 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 y x)) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x 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 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(log.f64 y)

eval68.0ms (1.2%)

Memory
23.0MiB live, 57.8MiB allocated
Compiler

Compiled 12 026 to 1 260 computations (89.5% saved)

prune35.0ms (0.6%)

Memory
-14.9MiB live, 21.9MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4505455
Fresh202
Picked325
Done000
Total4557462
Accuracy
100.0%
Counts
462 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
39.1%
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x))
99.9%
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 305 to 149 computations (51.1% saved)

simplify187.0ms (3.3%)

Memory
-12.1MiB live, 46.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 x x) (+.f64 x y))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
cost-diff128
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
cost-diff0
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x))
cost-diff512
(-.f64 (*.f64 y #s(literal 2 binary64)) y)
cost-diff6656
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)))
cost-diff7488
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
cost-diff768
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
cost-diff-128
(+.f64 y y)
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
cost-diff384
(fma.f64 y (+.f64 y y) (*.f64 y y))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042379
075331
1154295
2365267
31280241
45541237
08305237
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 y y))
y
(+.f64 y y)
(*.f64 y y)
#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)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
y
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x))
y
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
#s(literal 4 binary64)
(*.f64 y y)
(-.f64 (*.f64 y #s(literal 2 binary64)) y)
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (*.f64 x x) (+.f64 x y))
(*.f64 x x)
x
(+.f64 x y)
(/.f64 (*.f64 x x) (-.f64 x y))
(-.f64 x y)
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (+.f64 x y) (-.f64 x y))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 y y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
y
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1 binary64)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
y
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)))
(*.f64 #s(literal 3 binary64) y)
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)))
(*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
#s(literal 4 binary64)
(*.f64 y y)
(-.f64 (*.f64 y #s(literal 2 binary64)) y)
y
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))
(pow.f64 y #s(literal 3 binary64))
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))
(*.f64 y y)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 y y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (*.f64 x x) (+.f64 x y))
(*.f64 (/.f64 x (+.f64 y x)) x)
(*.f64 x x)
x
(+.f64 x y)
(+.f64 y x)
(/.f64 (*.f64 x x) (-.f64 x y))
(*.f64 (/.f64 x (-.f64 x y)) x)
(-.f64 x y)
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))

localize200.0ms (3.6%)

Memory
-8.8MiB live, 99.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.265611238027801
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
accuracy18.502771010494122
(/.f64 (*.f64 x x) (+.f64 x y))
accuracy18.506677258866393
(/.f64 (*.f64 x x) (-.f64 x y))
accuracy31.24504028969642
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy0.06640625
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))
accuracy0.06640625
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y))
accuracy20.816406250000004
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)))
accuracy42.79260227100342
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.125
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
accuracy26.854623636571485
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.125
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
accuracy26.854623636571485
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 y y)
accuracy0.0625
(fma.f64 y (+.f64 y y) (*.f64 y y))
accuracy26.854623636571485
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
Samples
69.0ms171×0valid
42.0ms85×1valid
Compiler

Compiled 742 to 85 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 50.0ms (56.5% of total)
ival-add: 12.0ms (13.6% of total)
ival-div: 11.0ms (12.4% of total)
adjust: 6.0ms (6.8% of total)
ival-sub: 4.0ms (4.5% of total)
ival-pow: 3.0ms (3.4% of total)
ival-neg: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (1.2%)

Memory
-7.2MiB live, 44.0MiB allocated
Counts
23 → 118
Calls
Call 1
Inputs
(fma.f64 y (+.f64 y y) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(*.f64 y y)
(+.f64 y y)
#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)
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)))
(-.f64 (*.f64 y #s(literal 2 binary64)) y)
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x))
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (*.f64 x x) (+.f64 x y))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y))
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 x x) (-.f64 x y))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2))
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2))
(pow y 2)
(- (* x (+ y (* -1 y))) (* -1 (pow y 2)))
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (* -1 (pow y 2)))
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2)))
(- (* 2 (pow y 2)) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))))) (* -1 (pow y 2)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (pow y 2))
(+ (* -1 (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2))) (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (* (pow x 2) (pow (- (* 2 y) y) 2)))))
(* -1 (/ (pow y 4) (pow x 2)))
(/ (- (/ (* (pow y 4) (+ y (* -1 y))) x) (pow y 4)) (pow x 2))
(/ (- (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x))) (pow y 4)) (pow x 2))
(/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6)))) (pow x 3))) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (+ (/ (* (pow y 4) (+ y (* -1 y))) x) (/ (* (pow y 6) (+ y (* -1 y))) (pow x 3)))))) (pow y 4)) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(/ (pow y 4) (pow x 2))
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))) (pow x 2))) (pow y 4)) (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))))) (* (pow y 6) (+ y (* -1 y)))) (pow x 3))) (pow y 4)) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x)))) (pow x 2))
(* x (+ 1 (/ y x)))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(/ (- (* -1 (/ (- (+ (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) x) (/ (pow y 6) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x) (/ (* (pow y 6) (+ y (* -1 y))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6)) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) (* (pow y 6) (+ y (* -1 y)))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* 3 y)
(/ 1/3 y)
(* 3 (pow y 3))
y
(* (pow y 4) (- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ x (* -1 y))
(+ x (* y (- (/ y x) 1)))
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* 4 (pow y 3))
(pow y 3)
(* (pow y 4) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4))))
(* (pow y 4) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2))))
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 6)) (/ (pow y 2) (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(+ x y)
(+ x (* y (+ 1 (/ y x))))
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y)))))
(* (pow y 2) (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (* -1 (/ (- (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y)) (+ x (* -1 x))) y)) 1))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y) (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)) (+ x (* -1 x))) y)) 1))
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))
Calls

6 calls:

TimeVariablePointExpression
45.0ms
y
@-inf
((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y))))))
5.0ms
y
@inf
((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y))))))
4.0ms
y
@0
((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y))))))
4.0ms
x
@inf
((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y))))))
3.0ms
x
@0
((+ (* y (+ y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (/ y (/ 1 (* 3 y))) (/ 1 (* 3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y))) (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (- (* y 2) y) (+ (* y (/ (- (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y))) (* (- (* y 2) y) (- (* y 2) y)))) (* x x)) (neg (/ (pow y 4) (* (+ x y) (- x y)))) (+ (* (* 2 y) y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y)))))) (* 2 y) (/ (* x x) (+ x y)) (* (* 4 (* y y)) (- (* y 2) y)) (* (- (* y 2) y) (* y y)) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* x x) (- x y)) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (neg (/ (pow y 4) (* (+ x y) (- x y))))))

simplify179.0ms (3.2%)

Memory
27.8MiB live, 102.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05852239
118511653
274951633
082611557
Stop Event
iter limit
node limit
Counts
118 → 116
Calls
Call 1
Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2))
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2))
(pow y 2)
(- (* x (+ y (* -1 y))) (* -1 (pow y 2)))
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (* -1 (pow y 2)))
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2)))
(- (* 2 (pow y 2)) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2)))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))))) (* -1 (pow y 2)))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (pow y 2))
(+ (* -1 (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2))) (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (* (pow x 2) (pow (- (* 2 y) y) 2)))))
(* -1 (/ (pow y 4) (pow x 2)))
(/ (- (/ (* (pow y 4) (+ y (* -1 y))) x) (pow y 4)) (pow x 2))
(/ (- (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x))) (pow y 4)) (pow x 2))
(/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6)))) (pow x 3))) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (+ (/ (* (pow y 4) (+ y (* -1 y))) x) (/ (* (pow y 6) (+ y (* -1 y))) (pow x 3)))))) (pow y 4)) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(/ (pow y 4) (pow x 2))
(/ (+ (* -1 (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow y 4)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))) (pow x 2))) (pow y 4)) (/ (* (pow y 4) (+ y (* -1 y))) x)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6))))) (* (pow y 6) (+ y (* -1 y)))) (pow x 3))) (pow y 4)) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x)))) (pow x 2))
(* x (+ 1 (/ y x)))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(/ (- (* -1 (/ (- (+ (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) x) (/ (pow y 6) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x) (/ (* (pow y 6) (+ y (* -1 y))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6)) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) (* (pow y 6) (+ y (* -1 y)))) x)) (+ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow y 6))) x)) (* (pow y 4) (+ y (* -1 y)))) x)) (pow y 4)) (pow x 2))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* 3 y)
(/ 1/3 y)
(* 3 (pow y 3))
y
(* (pow y 4) (- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ x (* -1 y))
(+ x (* y (- (/ y x) 1)))
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* 4 (pow y 3))
(pow y 3)
(* (pow y 4) (+ (/ 1 (pow x 2)) (/ (pow y 2) (pow x 4))))
(* (pow y 4) (+ (* (pow y 2) (+ (/ 1 (pow x 4)) (/ (pow y 2) (pow x 6)))) (/ 1 (pow x 2))))
(* (pow y 4) (+ (* (pow y 2) (+ (* (pow y 2) (+ (/ 1 (pow x 6)) (/ (pow y 2) (pow x 8)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(+ x y)
(+ x (* y (+ 1 (/ y x))))
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))
(* (pow y 2) (+ 3 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (pow y 3)) (+ (/ (* (pow x 2) (+ x (* -1 x))) (pow y 3)) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2)))))))))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ 1 (+ (* -1 (/ x y)) (/ x y)))))
(* (pow y 2) (- (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow (+ x (* -1 x)) 2) (pow y 2))))))))
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (* -1 (/ (- (+ (/ (pow x 2) y) (/ (pow (+ x (* -1 x)) 2) y)) (+ x (* -1 x))) y)) 1))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y) (/ (* (pow x 2) (+ x (* -1 x))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)) (+ x (* -1 x))) y)) 1))
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))
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 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2))
(*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (*.f64 y y)))
(+ (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (pow (- (* 2 y) y) 2)) (pow x 2))
(fma.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 y (*.f64 y y)) (*.f64 x x))
(pow y 2)
(*.f64 y y)
(- (* x (+ y (* -1 y))) (* -1 (pow y 2)))
(*.f64 y y)
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))) (* -1 (pow y 2)))
(fma.f64 x x (*.f64 y y))
(- (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2)))
(fma.f64 x x (*.f64 y y))
(- (* 2 (pow y 2)) (* -1 (pow y 2)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(- (+ (* 2 (pow y 2)) (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))))) (* -1 (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(- (+ (* 2 (pow y 2)) (* x (+ y (+ (* -1 y) (* x (+ 1 (+ (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2)) (/ (pow (+ y (* -1 y)) 2) (pow y 2))))))))) (* -1 (pow y 2)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) x) x)
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x) x)
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (* x (+ y (* -1 y)))) (* -1 (pow y 2)))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (- (* -1 (* x (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))
(+ (* -1 (pow y 2)) (* x (- (* x (- (* -1 (/ (* x (* (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))) (+ y (* -1 y)))) (pow y 2))) (+ 1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))
(* -1 (/ (pow x 2) y))
(/.f64 (*.f64 (neg.f64 x) x) y)
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x y) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (* y (- (* 4 (* (pow y 2) (- (* 2 y) y))) (* (pow y 2) (- (* 2 y) y)))) (* (pow x 2) (pow (- (* 2 y) y) 2)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x)) (/.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (pow y 4) (pow x 2)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(/ (- (/ (* (pow y 4) (+ y (* -1 y))) x) (pow y 4)) (pow x 2))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))
(/ (- (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (/ (* (pow y 4) (+ y (* -1 y))) x))) (pow y 4)) (pow x 2))
(/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))
(/ (- (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (* (pow y 4) (pow (+ y (* -1 y)) 2))) (* -1 (pow y 6)))) (pow x 3))) (+ (* -1 (/ (* (pow y 4) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ (* -1 (/ (pow y 6) (pow x 2))) (+ (/ (* (pow y 4) (+ y (* -1 y))) x) (/ (* (pow y 6) (+ y (* -1 y))) (pow x 3)))))) (pow y 4)) (pow x 2))
(/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 7 binary64)) (fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x))
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(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y))

rewrite199.0ms (3.5%)

Memory
3.7MiB live, 158.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042318
075252
1331188
23134101
011315101
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 785
Calls
Call 1
Inputs
(fma.f64 y (+.f64 y y) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(*.f64 y y)
(+.f64 y y)
#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)
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y)))
(-.f64 (*.f64 y #s(literal 2 binary64)) y)
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x))
(neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (*.f64 x x) (+.f64 x y))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y))
(*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 x x) (-.f64 x y))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
Outputs
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(*.f64 (/.f64 y #s(literal -1/3 binary64)) y)
(*.f64 (/.f64 y y) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 y y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal 9 binary64)) (neg.f64 (*.f64 y (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 y (pow.f64 y #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) y)
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 y y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -1/3 binary64)) y #s(literal 0 binary64))
(fma.f64 (/.f64 y y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 y #s(literal 0 binary64) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 y y))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(*.f64 (/.f64 y #s(literal -1/3 binary64)) y)
(*.f64 (/.f64 y y) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (*.f64 y y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal 9 binary64)) (neg.f64 (*.f64 y (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 y (pow.f64 y #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) y)
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 y y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -1/3 binary64)) y #s(literal 0 binary64))
(fma.f64 (/.f64 y y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 y #s(literal 0 binary64) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 y y))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y y))
(*.f64 (/.f64 y #s(literal -1/3 binary64)) y)
(*.f64 (/.f64 y y) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(-.f64 (*.f64 x x) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))
(+.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y)))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 y (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))

eval180.0ms (3.2%)

Memory
13.8MiB live, 170.8MiB allocated
Compiler

Compiled 23 156 to 2 548 computations (89% saved)

prune57.0ms (1%)

Memory
-35.0MiB live, 50.3MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New8106816
Fresh000
Picked325
Done022
Total81310823
Accuracy
100.0%
Counts
823 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(fma.f64 y y (*.f64 x x))
79.4%
(fma.f64 x x (*.f64 y y))
99.9%
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
38.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
55.5%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 262 to 139 computations (46.9% saved)

simplify5.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
cost-diff384
(/.f64 y (/.f64 #s(literal 1/3 binary64) y))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 x x (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 y y (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01796
02396
13090
24281
35481
46281
56581
06578
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) y))
y
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
Outputs
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
y
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1/3 binary64))
y
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)

localize42.0ms (0.8%)

Memory
27.8MiB live, 66.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(/.f64 y (/.f64 #s(literal 1/3 binary64) y))
accuracy0.36328125
(/.f64 #s(literal 1/3 binary64) y)
accuracy26.854623636571485
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
accuracy0.0
(fma.f64 x x (*.f64 y y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 y y)
accuracy39.70766613329062
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
accuracy0.0
(*.f64 x x)
accuracy28.485685290426428
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(fma.f64 y y (*.f64 x x))
Samples
34.0ms256×0valid
Compiler

Compiled 188 to 30 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 4.0ms (27% of total)
ival-mult: 4.0ms (27% of total)
ival-div: 3.0ms (20.3% of total)
const: 3.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-24.4MiB live, 14.6MiB allocated
Counts
9 → 12
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1/3 binary64) y)
Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(/ 1/3 y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y))
1.0ms
y
@inf
((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y))
1.0ms
y
@-inf
((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y))
1.0ms
y
@0
((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y))
1.0ms
x
@inf
((+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* y y) (+ (* x x) (* y y)) (/ y (/ 1/3 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/ 1/3 y))

simplify222.0ms (3.9%)

Memory
4.0MiB live, 192.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792
17376
218876
373376
4237976
5346476
6492676
7639976
8756276
0824569
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(/ 1/3 y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
Outputs
(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)
(+ (* 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 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (*.f64 y y))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(* 3 (pow y 2))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (*.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))

rewrite290.0ms (5.2%)

Memory
29.0MiB live, 271.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01782
02382
18876
277967
0872164
Stop Event
iter limit
node limit
iter limit
Counts
9 → 206
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1/3 binary64) y)
Outputs
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 y x)) (+.f64 y x))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)) (+.f64 x y))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.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 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.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))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.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))) #s(literal -1 binary64)))
(*.f64 (+.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 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (+.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 (fma.f64 x x (*.f64 y y)) (pow.f64 (+.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))) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 (/.f64 (pow.f64 x #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 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)))))
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(fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(-.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 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal -3 binary64) y))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 y))
(*.f64 #s(literal -3 binary64) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -3 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) y)))
(*.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) y)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) y))
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 2 binary64) y y))
(*.f64 y (*.f64 #s(literal 3 binary64) y))
(pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y)))))
(/.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) y) y))
(/.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) y) y))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1/3 binary64))
(/.f64 y (/.f64 #s(literal 1/3 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) y) y)))
(neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) y))))
(neg.f64 (/.f64 y (/.f64 #s(literal -1/3 binary64) y)))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 y y))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 y y))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 y y))
(fma.f64 y y (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) y)) (/.f64 y (/.f64 #s(literal -1/3 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1/3 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) y)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 y y))
(+.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
(/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) y)
(neg.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)))

eval17.0ms (0.3%)

Memory
-1.2MiB live, 37.2MiB allocated
Compiler

Compiled 3 813 to 456 computations (88% saved)

prune18.0ms (0.3%)

Memory
-16.8MiB live, 22.4MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1662168
Fresh101
Picked055
Done044
Total16711178
Accuracy
100.0%
Counts
178 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(fma.f64 y y (*.f64 x x))
79.4%
(fma.f64 x x (*.f64 y y))
99.9%
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64)))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1 binary64) y)))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
58.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
38.0%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
55.5%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
57.9%
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Compiler

Compiled 589 to 190 computations (67.7% saved)

regimes110.0ms (2%)

Memory
-26.9MiB live, 75.0MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #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 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(fma.f64 y (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) y) (-.f64 (*.f64 y #s(literal 2 binary64)) y))) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)))
(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 y y)) (*.f64 y y))
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
Calls

5 calls:

71.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
21.0ms
x
6.0ms
y
5.0ms
(*.f64 y y)
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
100.0%1(*.f64 x x)
100.0%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes20.0ms (0.4%)

Memory
7.0MiB live, 45.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #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 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 y (/.f64 #s(literal 1/3 binary64) y)))
Outputs
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
Calls

5 calls:

6.0ms
y
4.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 y y)
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1(*.f64 x x)
99.9%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes18.0ms (0.3%)

Memory
1.6MiB live, 39.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #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 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
Outputs
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
Calls

5 calls:

6.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 y y)
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
99.9%1(*.f64 x x)
99.9%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes16.0ms (0.3%)

Memory
-9.0MiB live, 34.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #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 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (/.f64 (*.f64 y y) #s(literal 1/3 binary64)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
Calls

5 calls:

5.0ms
x
3.0ms
y
3.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
3.0ms
(*.f64 y y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
90.5%2x
85.6%2y
83.0%3(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
90.5%2(*.f64 x x)
85.6%2(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #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 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))
(fma.f64 x x (*.f64 y y))
Calls

2 calls:

3.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
90.5%2x
90.5%2(*.f64 x x)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.2%)

Memory
-8.8MiB live, 28.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #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))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))
Calls

4 calls:

4.0ms
(*.f64 y y)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
84.7%2y
84.7%2(*.f64 y y)
84.1%2x
84.1%2(*.f64 x x)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))
Calls

2 calls:

2.0ms
y
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
84.7%2y
84.7%2(*.f64 y y)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory
-4.7MiB live, 34.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y))
Calls

5 calls:

2.0ms
(*.f64 x x)
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)
Results
AccuracySegmentsBranch
57.3%2(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
68.2%2x
68.2%2(*.f64 x x)
76.4%2y
76.4%2(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes6.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

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
55.5%1(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
55.5%1x
55.5%1(*.f64 x x)
55.5%1y
55.5%1(*.f64 y y)
Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3067017711392285e-226
1.0071781010198318e-224
Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3067017711392285e-226
1.0071781010198318e-224
Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
-38.5MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
1.0ms
1.1759525518227082e-10
1.207695300449744e-7
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch13.0ms (0.2%)

Memory
32.0MiB live, 32.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.1759525518227082e-10
1.207695300449744e-7
Samples
4.0ms109×0valid
2.0ms12×3valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 318 to 180 computations (43.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (48.7% of total)
adjust: 1.0ms (24.4% of total)
ival-mult: 1.0ms (24.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Memory
-10.0MiB live, 33.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
2.226536725806233e+291
7.867076186914821e+293
Samples
6.0ms106×0valid
1.0ms3valid
1.0ms4valid
0.0ms1valid
0.0ms2valid
Compiler

Compiled 302 to 164 computations (45.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 4.0ms (59.9% of total)
adjust: 1.0ms (15% of total)
ival-mult: 1.0ms (15% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify156.0ms (2.8%)

Memory
-8.3MiB live, 106.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041252
147234
256216
367216
476216
585216
693216
7111216
8127216
9135216
10148216
11219216
121215216
132273216
142945216
153810216
165020216
176894216
187351216
197640216
207855216
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 (*.f64 y y) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)))
(if (<=.f64 (*.f64 y y) #s(literal 4835703278458517/604462909807314587353088 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(if (<=.f64 (*.f64 y y) #s(literal 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (fma.f64 y y (*.f64 x x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 #s(literal 3 binary64) (*.f64 y y) (*.f64 x x))
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y (+.f64 y y) (*.f64 y y))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 (*.f64 x x) #s(literal 5334411546303883/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 (*.f64 y y) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y)))
(if (<=.f64 (*.f64 y y) #s(literal 4835703278458517/604462909807314587353088 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y))))
(if (<=.f64 (*.f64 y y) #s(literal 40000000000000000530263959134296650722746244358345840142528125911769970907617012858463917672157449998909498554263568363952491898600028103138206953210986926743629581261021098587444232750232858470317984807330649410342155342294546390088430246843766074240114997507336380714205155856460222902042624 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

soundness1.2s (21.7%)

Memory
18.8MiB live, 772.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042318
075252
1331188
23134101
011315101
030121
186105
2215105
3851105
42006105
52640105
64156105
75632105
86621105
97899105
0802095
05852239
118511653
274951633
082611557
025115
04196
115989
2119787
0848186
0739
01239
15435
251729
3767029
0827726
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 628 to 249 computations (60.4% saved)

preprocess80.0ms (1.4%)

Memory
2.8MiB live, 165.3MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 600 to 138 computations (77% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...