Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, B

Time bar (total: 10.8s)

analyze12.0ms (0.1%)

Memory
-16.0MiB live, 24.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.2s (11.2%)

Memory
14.0MiB live, 1 667.3MiB allocated
Samples
870.0ms8 256×0valid
20.0ms248×0invalid
Precisions
Click to see histograms. Total time spent on operations: 648.0ms
ival-sqrt: 241.0ms (37.2% of total)
ival-mult: 232.0ms (35.8% of total)
ival-div: 61.0ms (9.4% of total)
ival-sub: 58.0ms (9% of total)
ival-add: 38.0ms (5.9% of total)
exact: 10.0ms (1.5% of total)
ival-true: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess279.0ms (2.6%)

Memory
-8.0MiB live, 230.9MiB allocated
Algorithm
egg-herbie
Rules
3 216×lower-fma.f64
3 216×lower-fma.f32
1 344×lower-*.f32
1 338×lower-*.f64
1 274×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
18464
230462
3127262
4359262
5584362
6755962
01214
01914
13412
27512
318612
432412
542512
684112
7170712
8262712
9335812
10354312
11357312
12357412
13357412
14377612
15402112
16449112
17449112
18449112
0449111
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))

explain181.0ms (1.7%)

Memory
13.1MiB live, 169.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
00-0-#s(literal 9 binary64)
00-0-(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-(*.f64 x #s(literal 9 binary64))
00-0-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
105.0ms512×0valid
Compiler

Compiled 134 to 52 computations (61.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 25.0ms (51% of total)
ival-mult: 15.0ms (30.6% of total)
ival-sqrt: 4.0ms (8.2% of total)
ival-sub: 2.0ms (4.1% of total)
ival-add: 2.0ms (4.1% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify250.0ms (2.3%)

Memory
2.4MiB live, 120.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Rules
3 216×lower-fma.f64
3 216×lower-fma.f32
1 344×lower-*.f32
1 338×lower-*.f64
546×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
01949
13441
27541
318641
432441
542541
684141
7170741
8262741
9335841
10354341
11357341
12357441
13357441
14377641
15402141
16449141
17449141
18449141
0449140
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 y (/.f64 #s(literal 1/9 binary64) x))
y
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)

localize104.0ms (1%)

Memory
-37.6MiB live, 49.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Samples
91.0ms256×0valid
Compiler

Compiled 51 to 14 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 28.0ms (56.4% of total)
ival-div: 17.0ms (34.2% of total)
ival-sqrt: 2.0ms (4% of total)
ival-sub: 1.0ms (2% of total)
ival-add: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
y
@0
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@-inf
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))
1.0ms
x
@-inf
(* 3 (sqrt x))
0.0ms
y
@-inf
(* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1))

simplify655.0ms (6.1%)

Memory
27.6MiB live, 440.1MiB allocated
Algorithm
egg-herbie
Rules
11 070×lower-fma.f64
11 070×lower-fma.f32
4 714×lower-*.f64
4 714×lower-*.f32
3 382×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079612
1209585
2666585
32175583
47013583
09271551
Stop Event
iter limit
node limit
Counts
84 → 82
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (sqrt.f64 x) (+.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (-.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) x)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(-.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))

rewrite414.0ms (3.8%)

Memory
-36.0MiB live, 586.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 628×lower-fma.f64
5 628×lower-fma.f32
4 000×lower-*.f32
3 994×lower-*.f64
2 686×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
01934
16628
252128
3647628
0829527
Stop Event
iter limit
node limit
iter limit
Counts
5 → 259
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 81 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (+.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) (fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))

eval48.0ms (0.4%)

Memory
23.3MiB live, 136.4MiB allocated
Compiler

Compiled 9 774 to 856 computations (91.2% saved)

prune70.0ms (0.7%)

Memory
-27.9MiB live, 190.0MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New31922341
Fresh000
Picked011
Done000
Total31923342
Accuracy
100.0%
Counts
342 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
99.4%
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
99.4%
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
45.3%
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
99.4%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
65.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
99.0%
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
69.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64))))
45.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
99.4%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
60.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
63.8%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
68.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
60.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
63.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
69.1%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
38.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
40.0%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 908 to 562 computations (38.1% saved)

simplify237.0ms (2.2%)

Memory
27.1MiB live, 422.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
cost-diff192
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
cost-diff0
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
cost-diff960
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
cost-diff0
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
cost-diff0
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
cost-diff0
(sqrt.f64 x)
cost-diff128
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
cost-diff832
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
Rules
7 234×lower-fma.f32
7 226×lower-fma.f64
5 534×lower-*.f32
5 512×lower-*.f64
1 564×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041262
066258
1130250
2294242
3641242
41408242
52745242
64864242
77223242
08165236
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(sqrt.f64 x)
x
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
y
#s(literal 3 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))
y
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
#s(literal 1 binary64)
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(*.f64 x #s(literal -81 binary64))
#s(literal -81 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 y (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
#s(literal -1 binary64)
Outputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(sqrt.f64 x)
x
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
y
#s(literal 3 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 (fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -3 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))))
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
y
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(*.f64 x #s(literal -81 binary64))
#s(literal -81 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 y (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
#s(literal -1 binary64)

localize199.0ms (1.8%)

Memory
-13.1MiB live, 308.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
accuracy98.4%
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))
accuracy60.7%
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
accuracy99.7%
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
accuracy99.6%
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
accuracy40.5%
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(*.f64 (sqrt.f64 x) y)
accuracy99.6%
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
accuracy38.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
accuracy99.9%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
accuracy99.5%
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
Samples
61.0ms218×0valid
12.0ms11×3valid
12.0ms20×1valid
5.0ms2valid
Compiler

Compiled 256 to 41 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 27.0ms (43.9% of total)
const: 9.0ms (14.6% of total)
ival-div: 9.0ms (14.6% of total)
ival-add: 8.0ms (13% of total)
adjust: 4.0ms (6.5% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-sub: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
-1.6MiB live, 75.0MiB allocated
Counts
20 → 408
Calls
Call 1
Inputs
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))>
#<alt (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))>
#<alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))>
#<alt (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))>
#<alt (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))>
#<alt (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))>
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal 1/9 binary64) x)>
#<alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64))>
#<alt (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))>
#<alt (/.f64 #s(literal -1/9 binary64) x)>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (/ 1/3 x)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)>
#<alt (/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* 1/9 (sqrt (/ 1 x)))>
#<alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))>
#<alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))>
#<alt (+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))>
#<alt (* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))>
#<alt (* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt (/ (+ 1/9 (* x y)) x)>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (/ 1/9 x)>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt (+ y (* 1/9 (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt y>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ 1 (* 1/9 (/ 1 (* x y)))))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)>
#<alt (- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)>
#<alt (/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))>
#<alt (+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/81 (pow x 2))>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))>
#<alt (/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))>
#<alt (/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))>
#<alt (pow y 2)>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (pow y 2)>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (- (pow y 2) (* 1/81 (/ 1 (pow x 2))))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
Calls

102 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+ (* (+ (* y y) (/ 1 (* x (* x -81)))) (/ 1 (+ y (/ -1/9 x)))) -1)
2.0ms
x
@inf
(* (sqrt x) y)
2.0ms
y
@inf
(+ (* (+ (* y y) (/ 1 (* x (* x -81)))) (/ 1 (+ y (/ -1/9 x)))) -1)
2.0ms
x
@0
(+ (* y y) (/ 1 (* x (* x -81))))
2.0ms
x
@inf
(+ (* (+ (* y y) (/ 1 (* x (* x -81)))) (/ 1 (+ y (/ -1/9 x)))) -1)

simplify371.0ms (3.4%)

Memory
25.6MiB live, 461.0MiB allocated
Algorithm
egg-herbie
Rules
9 752×lower-fma.f64
9 752×lower-fma.f32
4 790×lower-*.f64
4 790×lower-*.f32
1 804×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183890
16583731
222163561
349863561
082343339
Stop Event
iter limit
node limit
Counts
408 → 400
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(/ 1/3 x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(* 3 (* (sqrt x) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* 1/3 (sqrt (/ 1 x)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 1/9 (sqrt (/ 1 x)))
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x)
(* (sqrt x) y)
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* 1/9 (sqrt (/ 1 x)))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y))))))
(/ 1/9 x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
(/ (+ 1/9 (* x y)) x)
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
(+ y (* 1/9 (/ 1 x)))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
y
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(* y (+ 1 (* 1/9 (/ 1 (* x y)))))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)
(/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/81 (pow x 2))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(pow y 2)
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(pow y 2)
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(/ -1/81 (pow x 2))
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))
(pow y 2)
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(pow y 2)
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
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(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(- (* 1/9 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ (* 1/9 (/ 1 x)) (* y (+ 1 (* y (+ (* -9 x) (* 9 x)))))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)
(/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* x (- (+ y (* x (+ (* -9 (pow y 2)) (* 9 (pow y 2))))) 1))) x)
(/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 1/9 binary64)) x)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(- (+ y (* 1/9 (/ 1 x))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- y 1))) (* 3 (* (sqrt (pow x 3)) (+ (* -9 (pow y 2)) (* 9 (pow y 2)))))))) x)
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(+ (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (* y (+ (* -9 x) (* 9 x))))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/81 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) y))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/81 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) y))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/81 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/81 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) y))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/81 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) y))
(* (pow y 2) (- 1 (* 1/81 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 y (fma.f64 y (/.f64 #s(literal -1/81 binary64) (*.f64 x (*.f64 x (*.f64 y y)))) y))
(/ -1/81 (pow x 2))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (pow y 2)) 1/81) (pow x 2))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(pow y 2)
(*.f64 y y)
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(pow y 2)
(*.f64 y y)
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(- (pow y 2) (* 1/81 (/ 1 (pow x 2))))
(fma.f64 y y (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)

rewrite396.0ms (3.7%)

Memory
-21.6MiB live, 367.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 662×lower-*.f32
4 640×lower-*.f64
3 882×lower-/.f32
3 874×lower-/.f64
3 790×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041196
066190
1258184
22150176
08177171
Stop Event
iter limit
node limit
iter limit
Counts
20 → 413
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))
(/.f64 #s(literal -1/9 binary64) x)
Outputs
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))) (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
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(*.f64 #s(literal 1 binary64) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -531441 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -81 binary64) (*.f64 x x)) (*.f64 #s(literal -81 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/9 binary64))

eval236.0ms (2.2%)

Memory
25.3MiB live, 231.7MiB allocated
Compiler

Compiled 21 843 to 1 469 computations (93.3% saved)

prune204.0ms (1.9%)

Memory
-27.4MiB live, 208.7MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 054181 072
Fresh71017
Picked325
Done101
Total1 065301 095
Accuracy
100.0%
Counts
1 095 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
65.3%
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
99.4%
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
63.6%
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
99.4%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
60.5%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
63.7%
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
60.5%
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
69.3%
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
49.3%
(/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))
45.3%
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
99.4%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
65.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
49.2%
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))))
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
40.0%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
45.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
60.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
63.8%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))))
38.2%
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
58.6%
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
40.0%
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
38.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
60.5%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
63.7%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
38.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 1 090 to 680 computations (37.6% saved)

simplify286.0ms (2.6%)

Memory
19.1MiB live, 175.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff1216
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
cost-diff0
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
cost-diff0
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(sqrt.f64 x)
cost-diff832
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
cost-diff0
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
cost-diff0
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
cost-diff0
(sqrt.f64 x)
cost-diff320
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))
cost-diff832
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
Rules
3 552×lower-fma.f32
3 546×lower-fma.f64
1 600×lower-*.f32
1 584×lower-*.f64
574×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038237
057230
1110220
2236220
3408220
4538220
5840220
61338220
72168220
83110220
93659220
103834220
113897220
123966220
133983220
144287220
154415220
164417220
174417220
184417220
04417212
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) y)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
y
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
#s(literal 3 binary64)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
Outputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) y)
y
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
y
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
#s(literal 3 binary64)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(sqrt.f64 x)
x
#s(literal -3 binary64)
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))
(+.f64 y (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)

localize146.0ms (1.3%)

Memory
-9.0MiB live, 239.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
accuracy99.6%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
accuracy100.0%
(sqrt.f64 x)
accuracy99.9%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
accuracy99.5%
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
accuracy50.4%
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
accuracy99.7%
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
accuracy99.5%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
accuracy40.5%
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy38.4%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
accuracy99.9%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
accuracy99.6%
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))
accuracy99.5%
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
accuracy99.5%
(/.f64 #s(literal 1/9 binary64) x)
Samples
51.0ms204×0valid
22.0ms21×2valid
14.0ms27×1valid
3.0ms3valid
Compiler

Compiled 213 to 36 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 20.0ms (33% of total)
ival-div: 15.0ms (24.7% of total)
ival-add: 10.0ms (16.5% of total)
const: 4.0ms (6.6% of total)
adjust: 4.0ms (6.6% of total)
ival-sub: 3.0ms (4.9% of total)
ival-sqrt: 3.0ms (4.9% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
17 → 360
Calls
Call 1
Inputs
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))>
#<alt (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))>
#<alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))>
#<alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)>
#<alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))>
#<alt (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))>
#<alt #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))>
#<alt (/.f64 #s(literal 1/9 binary64) x)>
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))>
#<alt (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))>
#<alt #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))>
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))>
Outputs
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (/ 1/3 x)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (* 3 (- y 1))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (* 3 (- y 1))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (- (* 1/9 (/ 1 x)) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt (* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (/ (+ 1/9 (* x (- y 1))) x)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- y 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (- (+ y (* 1/9 (/ 1 x))) 1)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))>
#<alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (/ (+ 1/3 (* 3 (* x y))) x)>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (/ 1/3 x)>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 y) (* 1/3 (/ 1 x)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* y (+ 3 (* 1/3 (/ 1 (* x y)))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* -81 (* x (- y 1)))))>
#<alt (* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))>
#<alt (* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))>
#<alt (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))>
#<alt (/ 1 (- y 1))>
#<alt (- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))>
#<alt (+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))>
#<alt (/ 1 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)>
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))>
Calls

90 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+ (* (sqrt x) -3) (* (sqrt x) (+ (* (/ 1/9 x) 3) (* 3 y))))
0.0ms
x
@0
(+ (* (sqrt x) -3) (* (sqrt x) (+ (* (/ 1/9 x) 3) (* 3 y))))
0.0ms
y
@inf
(/ 1 (+ (/ 1/9 x) (+ y -1)))
0.0ms
x
@inf
(/ 1 (+ (/ 1/9 x) (+ y -1)))
0.0ms
y
@0
(+ (* (sqrt x) -3) (* (sqrt x) (+ (* (/ 1/9 x) 3) (* 3 y))))

simplify532.0ms (4.9%)

Memory
-1.2MiB live, 639.3MiB allocated
Algorithm
egg-herbie
Rules
9 544×lower-fma.f64
9 544×lower-fma.f32
4 512×lower-*.f64
4 512×lower-*.f32
2 834×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02954531
18814163
226553823
369873820
081543572
Stop Event
iter limit
node limit
Counts
360 → 358
Calls
Call 1
Inputs
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(/ 1/3 x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(* 3 (* (sqrt x) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* 1/3 (sqrt (/ 1 x)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (* (sqrt x) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (- (* 1/9 (/ 1 x)) 1))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(* 3 y)
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(* 3 y)
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(* 3 (- y 1))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(* 3 (- y 1))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(- (* 1/9 (/ 1 x)) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
y
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1)))
(/ 1/9 x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(/ (+ 1/9 (* x (- y 1))) x)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- y 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(- (+ y (* 1/9 (/ 1 x))) 1)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(* 3 (* (sqrt x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
(* 3 (* (sqrt x) y))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* 1/3 (sqrt (/ 1 x)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))
(* 3 (* (sqrt x) y))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y))))))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(/ 1/3 x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 9 x)
(* x (+ 9 (* -81 (* x (- y 1)))))
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))
(/ 1 (- y 1))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))
(/ 1 (- (* 1/9 (/ 1 x)) 1))
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(/ 1 y)
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
(/ 1 y)
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))
Outputs
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) x)
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) x)
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(neg.f64 (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x))
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y)))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x)
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(/.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64)) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 x))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* -81 (* x (- y 1)))))
(*.f64 x (fma.f64 x (fma.f64 y #s(literal -81 binary64) #s(literal 81 binary64)) #s(literal 9 binary64)))
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1))))))
(*.f64 x (fma.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 x #s(literal 729 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal -81 binary64))) #s(literal 9 binary64)))
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1))))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (fma.f64 (*.f64 x #s(literal -6561 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 729 binary64))) (fma.f64 y #s(literal -81 binary64) #s(literal 81 binary64))) #s(literal 9 binary64)))
(/ 1 (- y 1))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal -1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)))))))
(/ 1 (- y 1))
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))))
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))))))) x))
(/ 1 (- (* 1/9 (/ 1 x)) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(fma.f64 y (/.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1)))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 y (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) y)) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) #s(literal 1 binary64)) y)
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y)
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) #s(literal 1 binary64))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) y)) y)
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) y)) y)

rewrite332.0ms (3.1%)

Memory
9.1MiB live, 595.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 842×lower-*.f32
5 826×lower-*.f64
3 942×lower-fma.f32
3 936×lower-fma.f64
3 628×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038186
057177
1226169
21945169
08291161
Stop Event
iter limit
node limit
iter limit
Counts
17 → 456
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))
#s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
Outputs
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) x) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))))
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (sqrt.f64 x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))))
(pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal -1 binary64)))

eval139.0ms (1.3%)

Memory
-4.0MiB live, 355.0MiB allocated
Compiler

Compiled 18 068 to 1 213 computations (93.3% saved)

prune129.0ms (1.2%)

Memory
11.6MiB live, 251.4MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New994141 008
Fresh121123
Picked235
Done022
Total1 008301 038
Accuracy
100.0%
Counts
1 038 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.3%
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
63.6%
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
60.5%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
60.5%
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
69.3%
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
32.0%
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
45.3%
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
63.8%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
38.2%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
40.1%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))))
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
32.0%
(*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))))
40.0%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
40.0%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
45.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
60.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
63.8%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
60.5%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
92.2%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
40.0%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
99.4%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
63.7%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
38.2%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
40.0%
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
58.6%
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
38.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
38.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 975 to 602 computations (38.3% saved)

simplify1.4s (13.2%)

Memory
-17.3MiB live, 871.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff128
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
cost-diff320
(-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
cost-diff0
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
cost-diff0
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y))
cost-diff0
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
cost-diff0
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
cost-diff0
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
cost-diff0
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
Rules
35 216×lower-fma.f32
35 214×lower-fma.f64
3 424×lower-*.f32
3 408×lower-*.f64
2 880×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043371
061370
1112343
2239343
3452343
4877343
51482343
63527343
74717343
85463343
95962343
106138343
116207343
126554343
136785343
146916343
156972343
166984343
176994343
186998343
196998343
08148342
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
#s(literal -3 binary64)
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
#s(literal 3 binary64)
y
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(sqrt.f64 x)
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(sqrt.f64 x)
x
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(sqrt.f64 x)
(-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
#s(literal -3 binary64)
Outputs
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (-.f64 y (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
#s(literal -3 binary64)
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal 3 binary64)
y
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
(sqrt.f64 x)
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
(sqrt.f64 x)
x
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
#s(literal 9 binary64)
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (*.f64 x (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))))
(-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(*.f64 x (fma.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) (neg.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))) #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))
(*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
y
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))
(sqrt.f64 x)
(-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))
(-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64))))
#s(literal -3 binary64)

localize225.0ms (2.1%)

Memory
-10.5MiB live, 184.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
accuracy74.1%
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
accuracy72.2%
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
accuracy50.4%
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy38.3%
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy40.3%
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy100.0%
(sqrt.f64 x)
accuracy99.5%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
accuracy38.2%
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y))
accuracy100.0%
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
accuracy99.8%
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
accuracy99.5%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
accuracy99.5%
(/.f64 #s(literal 1/3 binary64) x)
Samples
89.0ms201×0valid
21.0ms18×2valid
13.0ms28×1valid
5.0ms3valid
2.0ms4valid
Compiler

Compiled 285 to 37 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 46.0ms (43.1% of total)
ival-add: 18.0ms (16.9% of total)
ival-sub: 14.0ms (13.1% of total)
ival-div: 13.0ms (12.2% of total)
const: 7.0ms (6.6% of total)
adjust: 5.0ms (4.7% of total)
ival-sqrt: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-4.5MiB live, 31.6MiB allocated
Counts
20 → 420
Calls
Call 1
Inputs
#<alt (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))>
#<alt #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))>
#<alt (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))>
#<alt (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))>
#<alt (*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))>
#<alt #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt (sqrt.f64 x)>
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))>
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))>
#<alt (/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
#<alt #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))>
#<alt (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))>
Outputs
#<alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))>
#<alt (* 3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)>
#<alt (* 3 (* (sqrt x) (- y 1)))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))>
#<alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))>
#<alt (* 3 (- (* 1/9 (/ 1 x)) 1))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (/ (+ 1/3 (* 3 (* x (- y 1)))) x)>
#<alt (* 3 (- y 1))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))>
#<alt (* 3 (- y 1))>
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#<alt (* y (+ (* -1 (* (sqrt (/ 1 x)) (/ (- (* 1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* -1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x)))))) (pow y 2)))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (* (+ 3 (* 1/3 (/ 1 x))) (- (* 1/3 (- (* 9 x) (* 1/9 (/ 1 x)))) (* -1/3 (* (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) (+ 3 (* 1/3 (/ 1 x))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (* (sqrt (/ 1 x)) (/ (+ 2/3 (* -1 (* x (+ 3 (* 1/3 (/ 1 x)))))) y))))))>
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#<alt (+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))>
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#<alt (* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))>
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#<alt (* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))>
#<alt (* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))>
#<alt (* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))>
Calls

105 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y)))))
2.0ms
y
@0
(* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))
1.0ms
y
@0
(/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y)))))
1.0ms
x
@inf
(/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y)))))
1.0ms
x
@-inf
(/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y)))))

simplify395.0ms (3.6%)

Memory
27.5MiB live, 539.6MiB allocated
Algorithm
egg-herbie
Rules
8 166×lower-fma.f64
8 166×lower-fma.f32
6 842×lower-*.f64
6 842×lower-*.f32
2 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05836572
118676255
264516192
080945800
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(* 3 (* (sqrt x) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(* 3 (* (sqrt x) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(* 3 (* (sqrt x) (- y 1)))
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(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* 3 (- (* 1/9 (/ 1 x)) 1))
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(* 3 y)
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
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(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(* 3 (- y 1))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(* 3 (- y 1))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(- (* 1/3 (/ 1 x)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(* 3 y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(* 3 y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(/ 1/3 x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (* 3 y) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(/ 1/3 x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* 3 y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(/ 1/3 x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/ (+ 1/3 (* 3 (* x y))) x)
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(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(* 3 y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(+ (* 3 y) (* 1/3 (/ 1 x)))
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(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(* 1/3 (sqrt (/ 1 x)))
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(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
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(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
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(sqrt x)
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(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))
(* -3 (* (sqrt x) y))
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(* -3 (* (sqrt x) y))
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
Outputs
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) x)
(* 3 (* (sqrt x) (- y 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1))))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (neg.f64 x))
(* 3 (- (* 1/9 (/ 1 x)) 1))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(+ (* 3 y) (* 3 (- (* 1/9 (/ 1 x)) 1)))
(*.f64 #s(literal 3 binary64) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(*.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)))
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(*.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)))
(* y (+ 3 (* 3 (/ (- (* 1/9 (/ 1 x)) 1) y))))
(*.f64 y (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64) #s(literal 3 binary64)) y)) (neg.f64 y))
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64) #s(literal 3 binary64)) y)) (neg.f64 y))
(* -1 (* y (- (* -3 (/ (- (* 1/9 (/ 1 x)) 1) y)) 3)))
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64) #s(literal 3 binary64)) y)) (neg.f64 y))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x (- y 1)))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(* 3 (- y 1))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* 3 (- y 1))
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(+ (* 3 (- y 1)) (* 1/3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (* 1/3 (/ 1 x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3)))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y)) (neg.f64 y))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (- (* 3 y) 3))) x)
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (* 3 y) 3)
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3)
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 1/3 binary64)) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))
(* 1/3 (sqrt (/ 1 x)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x)
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(fma.f64 y #s(literal 2 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))
(fma.f64 y (fma.f64 x (*.f64 #s(literal 9 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x)))
(fma.f64 y (fma.f64 x (*.f64 #s(literal 9 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(* 9 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal 2 binary64) y)))
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 2 binary64) y) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y y))))))
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 2 binary64) y) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y y))))))
(* 9 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y))))
(*.f64 (*.f64 y y) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal 2 binary64) y)))
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 2 binary64) y) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y y))))))
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 2 binary64) y) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 y y))))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* 3 (* x y))) x)
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 1/3 binary64)) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(+ (* 3 y) (* 1/3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* y (+ 3 (* 1/3 (/ 1 (* x y)))))
(*.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))))
(* -1/3 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) x)
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) x)
(/ (+ (* -1 (* (sqrt (pow x 3)) (+ 3 (* 3 y)))) (* -1/3 (sqrt x))) x)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))) x)
(* -1 (* (sqrt x) (+ 3 (* 3 y))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))))
(* x (+ (* -1 (* (sqrt (/ 1 x)) (+ 3 (* 3 y)))) (* -1/3 (sqrt (/ 1 (pow x 3))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))))
(* (sqrt x) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 3 (* 3 y))))) (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -3 binary64) #s(literal -3 binary64)))))
(* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 (sqrt.f64 x)))
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+ (* -3 (* (sqrt x) y)) (* -1 (* (sqrt x) (+ 3 (* 1/3 (/ 1 x))))))
(-.f64 (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64)))
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(*.f64 y (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y))))
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(*.f64 y (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y))))
(* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(*.f64 y (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (sqrt.f64 x) y))))
(* -3 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -3 binary64)))
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) (neg.f64 y))
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) (neg.f64 y))
(* -1 (* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (+ 3 (* 1/3 (/ 1 x))) y)))))
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) y))) (neg.f64 y))

rewrite372.0ms (3.4%)

Memory
8.2MiB live, 632.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 388×lower-fma.f32
6 386×lower-fma.f64
4 644×lower-/.f32
4 634×lower-/.f64
4 044×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043294
061263
1265227
22247227
08899227
Stop Event
iter limit
node limit
iter limit
Counts
20 → 420
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(sqrt.f64 x)
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(*.f64 x #s(literal 9 binary64))
(*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1/3 binary64) x)
#s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
Outputs
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(+.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(+.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 y #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(+.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(+.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 #s(literal -3 binary64) (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (-.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1/3 binary64) x))))
(fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 y #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(fma.f64 y #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) y (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) y (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (/.f64 y x) #s(literal 1 binary64)))) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)))
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eval260.0ms (2.4%)

Memory
-94.9MiB live, 310.6MiB allocated
Compiler

Compiled 27 871 to 1 888 computations (93.2% saved)

prune113.0ms (1%)

Memory
-11.9MiB live, 318.1MiB allocated
Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New1 04781 055
Fresh81220
Picked145
Done055
Total1 056291 085
Accuracy
100.0%
Counts
1 085 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
60.5%
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
38.2%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
40.1%
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
32.0%
(/.f64 #s(approx (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -9 binary64)) #s(literal 9 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
40.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.4%
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
60.4%
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))
40.0%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
40.0%
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
45.3%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))))
40.0%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
60.5%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
63.8%
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
60.5%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
92.2%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
40.0%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
99.4%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x))
99.4%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x))
99.4%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
63.7%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
38.2%
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
49.6%
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
40.0%
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
81.8%
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))))
58.6%
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
38.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
38.2%
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 1 373 to 492 computations (64.2% saved)

regimes138.0ms (1.3%)

Memory
33.0MiB live, 111.4MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(approx (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -9 binary64)) #s(literal 9 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
(*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))))
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal 9 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/9 binary64))))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))))))
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64))))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -3 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (-.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
Outputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
Calls

3 calls:

100.0ms
y
18.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
16.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes38.0ms (0.3%)

Memory
5.2MiB live, 82.6MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (/ 1/9 x) y) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(approx (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -9 binary64)) #s(literal 9 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))))
Outputs
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x))
Calls

3 calls:

12.0ms
y
12.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
11.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes29.0ms (0.3%)

Memory
-19.7MiB live, 61.2MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 x))
(fma.f64 #s(approx (* (sqrt x) (+ (/ 1/9 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x)) (sqrt.f64 x))
Outputs
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
Calls

3 calls:

10.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
9.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory
15.1MiB live, 54.3MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(*.f64 (/.f64 x (sqrt.f64 x)) (+.f64 #s(literal -3 binary64) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 y #s(literal 3 binary64)))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

3 calls:

7.0ms
y
6.0ms
x
6.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
92.0%2x
89.1%3y
94.5%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
-18.2MiB live, 18.8MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)))
(*.f64 (*.f64 #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (/ 1 (+ (/ 1/9 x) (+ y -1))) (*.f64 x #s(literal 9 binary64))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

1 calls:

8.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
94.5%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* 3 (sqrt x)) (/ 1 (+ (/ 1/9 x) (+ y -1)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* x 9) (* x (* (* 3 (+ (/ 1/9 x) y)) (* 3 (+ (/ 1/9 x) y))))) (* (sqrt x) (- -3 (* 3 (+ (/ 1/9 x) y))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

1 calls:

4.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
93.6%3(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 16 to 12 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-21.8MiB live, 27.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
Calls

3 calls:

9.0ms
x
3.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
3.0ms
y
Results
AccuracySegmentsBranch
60.5%1y
60.5%1x
60.5%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))
Outputs
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
Calls

3 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
2.0ms
y
Results
AccuracySegmentsBranch
38.2%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
38.2%1x
38.2%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
-23.1MiB live, 15.9MiB allocated
Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y))
Outputs
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
Calls

3 calls:

4.0ms
x
2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
38.2%1(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
38.2%1x
38.2%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.39565690096146e+151
2.2686862470511107e+153
0.0ms
-4.540104663412832e+42
-2.966423610432835e+42
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.39565690096146e+151
2.2686862470511107e+153
0.0ms
-4.540104663412832e+42
-2.966423610432835e+42
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.39565690096146e+151
2.2686862470511107e+153
0.0ms
-2.4773558699365146
0.04904498208368527
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify13.0ms (0.1%)

Memory
-11.5MiB live, 27.1MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative_binary64
16×+-commutative_binary64
sub-neg_binary64
mul-1-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077425
1104425
2107425
3112425
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))
Outputs
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))))
(*.f64 #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(approx (* (- (+ y (/ 1 (* x 9))) 1) 3) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -4000000000000000179542850712303667142197248 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -2 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))
#s(approx (+ (* (* (sqrt x) (+ (/ 1/9 x) y)) 3) (* (sqrt x) -3)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)))
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)))

soundness1.2s (10.8%)

Memory
35.6MiB live, 944.5MiB allocated
Rules
11 070×lower-fma.f64
11 070×lower-fma.f32
9 752×lower-fma.f64
9 752×lower-fma.f32
9 544×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041196
066190
1258184
22150176
08177171
02183890
16583731
222163561
349863561
082343339
079612
1209585
2666585
32175583
47013583
09271551
02954531
18814163
226553823
369873820
081543572
043294
061263
1265227
22247227
08899227
01234
01934
16628
252128
3647628
0829527
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
node limit
iter limit
Compiler

Compiled 487 to 218 computations (55.2% saved)

preprocess66.0ms (0.6%)

Memory
-3.2MiB live, 154.1MiB allocated
Compiler

Compiled 552 to 160 computations (71% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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