Diagrams.TwoD.Layout.CirclePacking:approxRadius from diagrams-contrib-1.3.0.5

Time bar (total: 12.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze220.0ms (1.8%)

Memory
-1.7MiB live, 239.4MiB 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
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.7s (13.8%)

Memory
29.8MiB live, 1 783.9MiB allocated
Samples
1.0s4 060×1valid
373.0ms4 196×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-tan: 510.0ms (47.5% of total)
ival-div: 219.0ms (20.4% of total)
ival-sin: 202.0ms (18.8% of total)
ival-mult: 77.0ms (7.2% of total)
adjust: 52.0ms (4.8% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain162.0ms (1.3%)

Memory
-17.4MiB live, 243.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1260-0-(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
350-0-(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity880
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity880
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue380
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow38
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue380
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow38
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u350
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow35
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow35
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow35
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow35
Confusion
Predicted +Predicted -
+1610
-095
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16100
-0095
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
095
135
2126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms244×1valid
17.0ms268×0valid
Compiler

Compiled 91 to 28 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 15.0ms (32.8% of total)
ival-sin: 12.0ms (26.3% of total)
ival-tan: 11.0ms (24.1% of total)
ival-mult: 4.0ms (8.8% of total)
adjust: 3.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess45.0ms (0.4%)

Memory
4.4MiB live, 42.2MiB allocated
Algorithm
egg-herbie
Rules
80×associate-/r*
72×times-frac
66×sub-neg
66×div-sub
58×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
15267
210665
317765
426065
543365
654465
758465
860365
961665
0813
01313
11613
21813
01813
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Rules
12×lower-/.f32
lower-/.f64
lift-/.f64
lower-*.f32
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
01336
11636
21836
01836
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

localize54.0ms (0.4%)

Memory
-25.6MiB live, 94.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy8.656346286778886
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy27.914413136579014
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy28.568258075525527
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Samples
21.0ms134×0valid
21.0ms122×1valid
Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 8.0ms (34.8% of total)
ival-tan: 6.0ms (26.1% of total)
ival-div: 5.0ms (21.8% of total)
adjust: 2.0ms (8.7% of total)
ival-mult: 2.0ms (8.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
4.3MiB live, 42.1MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) (taylor inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
Calls

27 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
y
@-inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
x
@inf
(/ x (* y 2))
1.0ms
x
@0
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
1.0ms
x
@inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))

simplify303.0ms (2.5%)

Memory
24.4MiB live, 463.1MiB allocated
Algorithm
egg-herbie
Rules
14 468×lower-fma.f64
14 468×lower-fma.f32
6 082×lower-+.f64
6 082×lower-+.f32
5 448×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03162054
19502028
233881926
091111817
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(* 1/2 (/ x y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
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(/.f64 (-.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal -1/8 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/16 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/92160 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/384 binary64))) (pow.f64 y #s(literal 6 binary64)))))))) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

rewrite282.0ms (2.3%)

Memory
-17.7MiB live, 182.8MiB allocated
Rules
2 672×lower-*.f32
2 670×lower-*.f64
2 226×lower-/.f32
2 222×lower-/.f64
1 360×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0833
01333
13333
214228
378828
0817128
Stop Event
iter limit
node limit
iter limit
Counts
5 → 380
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
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eval169.0ms (1.4%)

Memory
19.4MiB live, 127.4MiB allocated
Compiler

Compiled 14 207 to 1 770 computations (87.5% saved)

prune511.0ms (4.1%)

Memory
-8.8MiB live, 317.2MiB allocated
Pruning

52 alts after pruning (51 fresh and 1 done)

PrunedKeptTotal
New62851679
Fresh000
Picked011
Done000
Total62852680
Accuracy
61.1%
Counts
680 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
41.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
55.1%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
6.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
41.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
29.1%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
18.2%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
20.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
12.9%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
19.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
11.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
18.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
29.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))))
41.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
29.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
18.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))))
20.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
13.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))))
18.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
41.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))))
41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
41.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
28.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
37.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
38.0%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.5%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
19.9%
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
30.5%
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.3%
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
37.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 2 185 to 1 392 computations (36.3% saved)

simplify92.0ms (0.7%)

Memory
-4.9MiB live, 31.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
cost-diff0
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff5824
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff7104
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff0
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
cost-diff12224
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
cost-diff1088
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Rules
260×lower-*.f32
254×lower-*.f64
162×associate-*r*
116×associate-*l*
62×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034218
056197
176195
2105195
3138195
4170195
5267195
6343195
7354195
8358195
9359195
0359195
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
#s(literal 1/8 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
#s(literal 1/8 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

localize234.0ms (1.9%)

Memory
-9.8MiB live, 157.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy8.574315036778886
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy13.378074536035625
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy13.425448241536339
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy13.619416990941048
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.01953125
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
accuracy0.13671875
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy13.605540325643071
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy0.13671875
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
accuracy8.574315036778886
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
accuracy13.378074536035625
(sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
accuracy13.619416990941048
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy0
(*.f64 x x)
accuracy0.21660476065132678
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
accuracy7.690612718188317
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
accuracy14.516121729447603
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
accuracy12.003260792029089
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Samples
115.0ms131×0valid
34.0ms58×1valid
32.0ms59×1invalid
3.0ms0invalid
Compiler

Compiled 208 to 31 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-pow: 67.0ms (42.1% of total)
ival-div: 35.0ms (22% of total)
ival-sin: 16.0ms (10% of total)
ival-tan: 11.0ms (6.9% of total)
ival-mult: 8.0ms (5% of total)
ival-pow2: 7.0ms (4.4% of total)
adjust: 5.0ms (3.1% of total)
ival-cos: 5.0ms (3.1% of total)
ival-sqrt: 3.0ms (1.9% of total)
ival-add: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory
1.1MiB live, 82.5MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (patch (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (patch (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) (taylor inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) (taylor -inf y) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow (cos (/ x (* y 2))) -1/2)
3.0ms
x
@0
(/ (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (sin (/ x (* y 2))))
3.0ms
y
@-inf
(/ (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (sin (/ x (* y 2))))
3.0ms
y
@inf
(/ (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (sin (/ x (* y 2))))
2.0ms
x
@inf
(pow (/ x (* y 2)) 1/2)

simplify376.0ms (3%)

Memory
7.7MiB live, 527.2MiB allocated
Algorithm
egg-herbie
Rules
12 160×lower-fma.f64
12 160×lower-fma.f32
6 362×lower-*.f64
6 362×lower-*.f32
4 672×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07459011
123128554
085908149
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(/ 1/8 (pow y 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
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(* 2 (pow (sqrt 1/2) 2))
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(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (pow (sqrt -1/2) 2))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
1
#s(literal 1 binary64)
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(* -2 (pow (sqrt -1/2) 2))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64)))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/48 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/2 binary64))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 y y)) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))

rewrite418.0ms (3.4%)

Memory
10.3MiB live, 461.7MiB allocated
Rules
4 040×lower-*.f32
4 034×lower-*.f64
3 758×lower-fma.f32
3 756×lower-fma.f64
2 628×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034172
056156
1179156
2780131
37241131
08308131
Stop Event
iter limit
node limit
iter limit
Counts
19 → 776
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -8 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (/.f64 (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) y) (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 y)) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64))) (fma.f64 (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) #s(literal -1/8 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 8 binary64))) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64)))
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(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(neg.f64 (sin.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))

eval236.0ms (1.9%)

Memory
-7.8MiB live, 619.0MiB allocated
Compiler

Compiled 37 801 to 3 571 computations (90.6% saved)

prune405.0ms (3.3%)

Memory
24.0MiB live, 706.8MiB allocated
Pruning

115 alts after pruning (112 fresh and 3 done)

PrunedKeptTotal
New1 641771 718
Fresh113546
Picked325
Done011
Total1 6551151 770
Accuracy
62.0%
Counts
1 770 → 115
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
52.6%
(pow.f64 (pow.f64 (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.6%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.2%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.5%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.8%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.4%
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.4%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.4%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.6%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.8%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
44.7%
(pow.f64 (pow.f64 #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.2%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) #s(literal -1/2 binary64))
54.2%
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) #s(literal -1/4 binary64))
54.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
52.3%
(pow.f64 #s(approx (pow (cos (/ x (* y 2))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))) #s(literal 2 binary64))
41.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
38.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.5%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.5%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
40.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
37.9%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
41.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))
38.0%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))))
41.5%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
41.7%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
41.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
38.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
37.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))))
38.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
38.2%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.9%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.8%
(/.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
29.1%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.8%
(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.2%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
38.0%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
20.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
12.9%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
19.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.8%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
40.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
41.2%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
11.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
18.3%
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.2%
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
41.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
29.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
18.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))))
20.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
13.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))))
18.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
41.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
41.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))))
41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
41.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
28.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
37.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
38.0%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.5%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.1%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
41.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
41.1%
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.4%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
38.4%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.7%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.4%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)))
30.5%
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.3%
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
37.6%
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
5.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
41.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
51.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
37.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))))
44.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 4 894 to 3 161 computations (35.4% saved)

simplify246.0ms (2%)

Memory
-8.0MiB live, 338.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
cost-diff0
(pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64))
cost-diff12224
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff12800
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y))
cost-diff0
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)))
cost-diff0
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff7744
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))
cost-diff0
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff128
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x))))
cost-diff1664
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
cost-diff0
(/.f64 x (*.f64 y #s(literal 8 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
cost-diff384
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff0
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Rules
17 636×lower-fma.f32
17 634×lower-fma.f64
2 998×lower-*.f32
2 986×lower-*.f64
2 366×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042296
073283
1112276
2228240
3677240
43012240
54026240
66649240
08063240
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(/.f64 x y)
x
y
(/.f64 x (*.f64 y #s(literal 8 binary64)))
(*.f64 y #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(neg.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y))
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sqrt.f64 y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64))
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y #s(literal 8 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (*.f64 y (*.f64 y #s(literal 8 binary64)))) #s(literal 1 binary64))
(/.f64 x y)
x
y
(/.f64 x (*.f64 y #s(literal 8 binary64)))
(*.f64 y #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(neg.f64 (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)))
(tan.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y))
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sqrt.f64 y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal -1/2 binary64)

localize266.0ms (2.2%)

Memory
6.6MiB live, 335.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy2.8909198752143985
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy13.605540325643071
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
accuracy13.704892874052286
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy0.29296875
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))
accuracy8.574315036778886
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy13.378074536035626
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy13.619416990941048
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)))
accuracy8.574315036778886
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy13.378074536035626
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy13.619416990941048
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))
accuracy30.03862079072423
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
accuracy0
(/.f64 x y)
accuracy0
(*.f64 y #s(literal 8 binary64))
accuracy0.03125
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
accuracy14.516121729447603
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
accuracy0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.0703125
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy13.605540325643071
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Samples
67.0ms58×1valid
65.0ms59×1invalid
47.0ms131×0valid
3.0ms0invalid
Compiler

Compiled 288 to 41 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-div: 39.0ms (26% of total)
ival-log: 20.0ms (13.3% of total)
ival-tan: 19.0ms (12.7% of total)
ival-mult: 12.0ms (8% of total)
ival-cos: 12.0ms (8% of total)
ival-exp: 10.0ms (6.7% of total)
ival-pow: 9.0ms (6% of total)
ival-pow2: 8.0ms (5.3% of total)
adjust: 6.0ms (4% of total)
ival-sqrt: 5.0ms (3.3% of total)
ival-sin: 5.0ms (3.3% of total)
ival-neg: 2.0ms (1.3% of total)
ival-add: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series174.0ms (1.4%)

Memory
14.9MiB live, 282.5MiB allocated
Counts
23 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 2 binary64))) (patch (/.f64 x (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 y #s(literal 8 binary64))) (patch (/.f64 x (*.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) (patch (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (patch (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (patch (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (patch (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (patch (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (patch (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 8 binary64)) (patch (*.f64 y #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 (/ x y))) (taylor inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (* -1/2 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
Calls

132 calls:

TimeVariablePointExpression
40.0ms
y
@0
(log (/ x (* y 2)))
37.0ms
x
@0
(log (/ x (* y 2)))
17.0ms
y
@-inf
(log (/ x (* y 2)))
17.0ms
x
@-inf
(log (/ x (* y 2)))
9.0ms
y
@0
(* (/ -1/2 y) (neg (* x (* x x))))

simplify420.0ms (3.4%)

Memory
-4.5MiB live, 423.6MiB allocated
Algorithm
egg-herbie
Rules
12 374×lower-fma.f64
12 374×lower-fma.f32
6 224×lower-*.f64
6 224×lower-*.f32
4 680×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07899416
124298858
085498494
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
1
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(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
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1
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1
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
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(* 2 y)
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1
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(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
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(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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1
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1
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(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
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1
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(/ x y)
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(* 1/8 (/ x y))
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(* 1/2 (/ x y))
(* 1/2 (/ (pow x 3) y))
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(* 1/2 (/ (pow x 3) y))
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(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
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(* 2 (pow (sqrt 1/2) 2))
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(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2)))
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(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(+ (log x) (log (/ 1/2 y)))
(+ (log x) (log (/ 1/2 y)))
(+ (log x) (log (/ 1/2 y)))
(+ (log x) (log (/ 1/2 y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(+ (log (* 1/2 x)) (* -1 (log y)))
(+ (log (* 1/2 x)) (* -1 (log y)))
(+ (log (* 1/2 x)) (* -1 (log y)))
(+ (log (* 1/2 x)) (* -1 (log y)))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* 1/8 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* 1/8 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(* 1/8 (/ (pow x 2) (pow y 2)))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
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(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log x) (log (/ 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (* -1 (log y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* 1/2 x)) (log (/ 1 y)))
(-.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 y))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1/2 x)) (log (/ -1 y)))
(+.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))

rewrite465.0ms (3.8%)

Memory
18.1MiB live, 423.4MiB allocated
Rules
4 698×lower-/.f32
4 682×lower-/.f64
4 504×lower-*.f32
4 492×lower-*.f64
2 396×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042220
073182
1226179
21257165
08251165
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 368
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
(/.f64 x y)
(/.f64 x (*.f64 y #s(literal 8 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64))
(cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 y #s(literal 8 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x)))
(cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(fabs.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) y) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x x)))
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eval474.0ms (3.8%)

Memory
21.8MiB live, 782.6MiB allocated
Compiler

Compiled 55 034 to 5 638 computations (89.8% saved)

prune1.1s (9.3%)

Memory
-110.0MiB live, 1 278.8MiB allocated
Pruning

124 alts after pruning (118 fresh and 6 done)

PrunedKeptTotal
New2 585662 651
Fresh5552107
Picked235
Done033
Total2 6421242 766
Accuracy
62.4%
Counts
2 766 → 124
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.8%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
18.6%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.4%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
41.7%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
41.9%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
53.0%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.8%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.2%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
54.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
52.3%
(pow.f64 #s(approx (pow (cos (/ x (* y 2))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))) #s(literal 2 binary64))
41.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.0%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))))
41.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
38.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
38.1%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.7%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
12.2%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x)))
29.8%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
40.9%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))
38.6%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
41.0%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.8%
(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.2%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
38.0%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
13.2%
(/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
20.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
12.1%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
11.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)))
12.6%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y)))
11.9%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
12.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
12.9%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x))))
12.8%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x))) x))))
40.8%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
40.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
41.2%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.1%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.2%
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
20.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
13.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))))
18.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
41.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
41.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))))
41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
41.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
37.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
41.5%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
19.0%
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
41.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.1%
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.4%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.7%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.3%
(/.f64 (tan.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.4%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.5%
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
37.6%
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
39.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)))
21.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))))
38.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x)))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y)))))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
54.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
55.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
22.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 2 binary64)))))
48.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
48.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x))))
24.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x)))))
38.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
19.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
54.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
18.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
45.0%
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
5.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
41.0%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
51.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
44.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
2.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 5 049 to 3 374 computations (33.2% saved)

simplify209.0ms (1.7%)

Memory
11.2MiB live, 200.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
cost-diff0
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))
cost-diff128
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))
cost-diff0
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))
cost-diff0
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff4160
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))
cost-diff0
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
cost-diff640
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
cost-diff0
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
cost-diff0
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
cost-diff0
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
Rules
3 576×lower-*.f32
3 556×lower-*.f64
3 018×lower-/.f32
2 998×lower-/.f64
2 638×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057395
093391
1150359
2309337
3746331
42769331
55695331
08352325
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
#s(literal 1 binary64)
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x)
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
#s(literal 1/8 binary64)
(*.f64 y y)
y
x
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
#s(literal 2 binary64)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 x (*.f64 y #s(literal -2 binary64)))
x
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(/.f64 x y)
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(/.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 8 binary64))))))
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 8 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
(/.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 8 binary64))))
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x)
(*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
#s(literal 1/8 binary64)
(*.f64 y y)
y
x
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(cos.f64 (/.f64 x y))
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x y)
#s(literal 2 binary64)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal -1/2 binary64)
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)))
(sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (*.f64 (tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(tan.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(/.f64 x (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) y)
x
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(/.f64 x y)

localize364.0ms (2.9%)

Memory
7.6MiB live, 601.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy15.738454566201996
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
accuracy27.91441313657899
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy28.333686037702083
(cos.f64 (/.f64 x y))
accuracy28.592935230325722
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
accuracy0.39453125
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))
accuracy8.656346286778886
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy27.91441313657899
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy28.568258075525527
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy0.08984375
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
accuracy0.23616265702637798
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
accuracy28.333686037702083
(cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy4.25298508377615
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
accuracy8.129467572593304
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x)
accuracy31.126129280583374
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
accuracy31.219424487942153
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
accuracy0.196280966849389
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
accuracy28.57580479281726
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
Samples
155.0ms151×1valid
55.0ms46×3valid
49.0ms51×2valid
4.0ms0valid
Compiler

Compiled 365 to 53 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-mult: 37.0ms (18.8% of total)
ival-div: 33.0ms (16.7% of total)
ival-cos: 32.0ms (16.2% of total)
adjust: 25.0ms (12.7% of total)
ival-tan: 18.0ms (9.1% of total)
ival-pow: 17.0ms (8.6% of total)
ival-neg: 13.0ms (6.6% of total)
ival-sqrt: 7.0ms (3.6% of total)
ival-sin: 6.0ms (3% of total)
ival-add: 5.0ms (2.5% of total)
ival-sub: 3.0ms (1.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.6%)

Memory
19.1MiB live, 140.6MiB allocated
Counts
24 → 564
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) (patch (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y #s(literal 2 binary64)) x) (patch (/.f64 (*.f64 y #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) (patch #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) (patch #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) (patch (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) (patch (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (patch (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) (patch (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (patch (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (patch (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (patch (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (patch (*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (patch (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos (* 1/2 (/ x y)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) (patch (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) (taylor 0 x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor -inf x) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (/ x y))) (taylor 0 y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) (taylor inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) (taylor -inf y) (#s(alt (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (patch (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) (taylor 0 x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) (taylor 0 x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor -inf x) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (cos (/ x y)) (taylor 0 y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) (taylor inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) (taylor -inf y) (#s(alt (cos.f64 (/.f64 x y)) (patch (cos.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
Calls

141 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3)))
4.0ms
x
@0
(+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2))))))
4.0ms
y
@inf
(* (/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3))) (- 1/2 (* 1/2 (cos (/ x y)))))
4.0ms
y
@-inf
(* (/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3))) (- 1/2 (* 1/2 (cos (/ x y)))))
3.0ms
y
@inf
(/ (tan (/ x (* y -2))) (neg (pow (sin (/ x (* y 2))) 3)))

simplify382.0ms (3.1%)

Memory
-14.5MiB live, 526.5MiB allocated
Algorithm
egg-herbie
Rules
7 046×lower-fma.f64
7 046×lower-fma.f32
6 290×lower-*.f64
6 290×lower-*.f32
5 326×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113812668
1353111958
0858011455
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
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(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2)))
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(- (+ (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))) (* x (pow y 4)))) (* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (* (pow y 4) (pow (sqrt -1) 2)))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt -1) 2)))))))
(- (+ (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow (sqrt -1) 14))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))))) (pow (sqrt -1) 4))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow (sqrt -1) 14))) (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 8)))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))) (* x (pow y 4)))) (* -2 (/ (pow (sqrt 1/2) 2) (pow (sqrt -1) 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2)))))) (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (* (pow y 4) (pow (sqrt -1) 2)))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (* (pow y 6) (pow (sqrt -1) 2)))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))) x)) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt -1) 2))))))))))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y)
(* -1 (/ (* x (pow (sqrt 1/2) 2)) (* y (pow (sqrt -1) 2))))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (/ (* x (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6))))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10)))) (/ (* x (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (* (pow y 4) (pow (sqrt -1) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10))))))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (* (pow y 6) (pow (sqrt -1) 14)))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10)))) (/ (* x (pow (sqrt 1/2) 2)) (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (* (pow y 4) (pow (sqrt -1) 4)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (pow (sqrt -1) 4))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow (sqrt -1) 10))))))) (* (pow y 6) (pow (sqrt -1) 4)))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (* (pow y 2) (pow (sqrt -1) 6)))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (* (pow y 6) (pow (sqrt -1) 14)))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow (sqrt -1) 6)))))) (* (pow y 6) (pow (sqrt -1) 8)))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (* (pow y 4) (pow (sqrt -1) 10)))))))))) y))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* -1 (* (sqrt (/ x y)) (sqrt 1/2)))
(* 4 (/ (pow y 2) (pow x 2)))
(/ (+ (* 5/6 (pow x 2)) (* 4 (pow y 2))) (pow x 2))
(/ (+ (* 4 (pow y 2)) (* (pow x 2) (+ 5/6 (* 53/480 (/ (pow x 2) (pow y 2)))))) (pow x 2))
(/ (+ (* 4 (pow y 2)) (* (pow x 2) (+ 5/6 (* (pow x 2) (+ (* 599/48384 (/ (pow x 2) (pow y 4))) (* 53/480 (/ 1 (pow y 2)))))))) (pow x 2))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (pow (sin (* 1/2 (/ x y))) 3))))
(* 4 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5)))) (pow y 2))) (* 4 (/ 1 (pow x 2)))))
(* (pow y 2) (+ (* -1 (/ (- (* 8 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (pow x 3))) (+ (* -32 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 5))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5))))) (pow x 3))))) (pow y 4))) (+ (* -1 (/ (- (* 8 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (pow x 3))) (* -32 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 5)))) (pow y 2))) (* 4 (/ 1 (pow x 2))))))
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(* 4 (/ (pow y 2) (pow x 2)))
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1
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1
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(+ 1 (+ (* -1 (/ (- (* 8 (/ (+ (* -1/48 (* (pow x 4) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/161280 (pow x 9)) (+ (* 1/1440 (* (pow x 6) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* 1/4 (* (pow x 2) (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))))))))))) (pow x 3))) (+ (* -8 (/ (+ (* -1/48 (* (pow x 3) (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))) (+ (* -1/184320 (pow x 9)) (+ (* -1/2580480 (pow x 9)) (* 1/2 (* x (+ (* -1/92160 (pow x 8)) (* -1/645120 (pow x 8)))))))) (pow x 3))) (+ (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (+ (* -1/48 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (+ (* -1/2880 (pow x 7)) (* 1/4 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))))) (pow x 3))) (+ (* -8 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 3))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3))))) (pow x 3)))))) (pow x 3))) (* 8 (/ (* (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3))))) (pow x 3)))))) (pow y 6))) (+ (* -1 (/ (- (* 8 (/ (+ (* -1/48 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (+ (* -1/2880 (pow x 7)) (* 1/4 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))))) (pow x 3))) (+ (* -8 (/ (+ (* 1/15360 (pow x 7)) (+ (* 1/2304 (pow x 7)) (* 1/2 (* x (+ (* 1/3840 (pow x 6)) (* 1/2304 (pow x 6))))))) (pow x 3))) (* 8 (/ (* (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3))))) (pow x 3))))) (pow y 4))) (* -1 (/ (- (* 8 (/ (+ (* 1/96 (pow x 5)) (* 1/4 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 3))) (* -8 (/ (+ (* -1/96 (pow x 5)) (* -1/192 (pow x 5))) (pow x 3)))) (pow y 2))))))
1
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(* -1/2 (/ x y))
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)
(/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)
(* -1/2 (/ x y))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
1
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
1
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
1
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
1
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
Outputs
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(* 2 (/ y x))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) #s(literal 1 binary64))
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(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y)))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) #s(literal 1 binary64))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))

rewrite327.0ms (2.6%)

Memory
9.8MiB live, 423.2MiB allocated
Rules
5 012×lower-*.f32
4 992×lower-*.f64
4 056×lower-/.f32
4 036×lower-/.f64
2 340×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057289
093250
1297228
21849205
08251203
Stop Event
iter limit
node limit
iter limit
Counts
24 → 973
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x)
(*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 y #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (/.f64 x y))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))) (sqrt.f64 y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) #s(literal -1 binary64)) (sqrt.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y))
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(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 6 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))

eval366.0ms (3%)

Memory
10.2MiB live, 541.8MiB allocated
Compiler

Compiled 51 546 to 4 401 computations (91.5% saved)

prune517.0ms (4.2%)

Memory
-0.1MiB live, 1 035.7MiB allocated
Pruning

137 alts after pruning (129 fresh and 8 done)

PrunedKeptTotal
New1 652331 685
Fresh1796113
Picked325
Done066
Total1 6721371 809
Accuracy
62.5%
Counts
1 809 → 137
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.2%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal -1/4 binary64))
54.2%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
52.8%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
18.6%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.4%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
41.7%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
41.9%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
53.0%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.9%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
52.8%
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.2%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x)))) #s(literal -1/2 binary64))
54.3%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) #s(literal -1/2 binary64))
41.0%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.9%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
38.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.0%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))))
41.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
38.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
38.1%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.7%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
12.2%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x)))
29.8%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
40.9%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))
38.6%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
41.0%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.8%
(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
38.0%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
13.2%
(/.f64 (tan.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
20.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
12.1%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
11.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)))
12.6%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y)))
11.9%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
12.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
12.8%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x x))) x))))
40.8%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
40.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.2%
(/.f64 (tan.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.2%
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
20.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
13.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))))
18.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
41.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
41.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))))
41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
41.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
38.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
37.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
41.5%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.3%
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
41.4%
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
41.7%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.1%
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.4%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.7%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.1%
(/.f64 (tan.f64 (*.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.3%
(/.f64 (tan.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.4%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.5%
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
37.6%
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
54.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
39.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)))
21.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
38.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x)))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
55.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y)))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
55.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64))))))
22.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 2 binary64)))))
48.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
38.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
19.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) #s(literal 2 binary64)))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 2 binary64)))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
45.0%
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
5.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64))))
53.4%
(*.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
5.9%
(*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
5.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
5.2%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))))
5.2%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))))
6.2%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
3.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (exp.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
41.0%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
54.2%
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
51.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
44.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
2.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y)))
2.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 7 388 to 2 803 computations (62.1% saved)

regimes497.0ms (4%)

Memory
0.6MiB live, 564.5MiB allocated
Counts
228 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y))) x) x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))))) #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(pow.f64 #s(approx (pow (cos (/ x (* y 2))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))))) #s(literal 2 binary64))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) (/.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal -1/2 binary64))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))) #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
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(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (tan.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (exp.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

114.0ms
x
112.0ms
y
82.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
77.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
69.0ms
(*.f64 y #s(literal 2 binary64))
Results
AccuracySegmentsBranch
55.8%1x
55.8%1y
57.8%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
58.3%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
55.8%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes13.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

11.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.3%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes71.0ms (0.6%)

Memory
-24.8MiB live, 21.6MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (pow (pow (/ x (* y 2)) 1/2) 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) x) (/.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (neg.f64 x)) (/.f64 x x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 y)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (/ 2 (/ 1 y)))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

69.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.3%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (pow (+ 1/2 (* 1/2 (cos (* 2 (/ x (* y 2)))))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.0%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes80.0ms (0.6%)

Memory
-8.5MiB live, 30.5MiB allocated
Accuracy

Total -34.6b remaining (-121.4%)

Threshold costs -34.6b (-121.4%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ x y) (/ x (* y 8))) 1) (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 8 binary64))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (/.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cos (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/64 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x x) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (*.f64 (*.f64 y y) #s(literal 8 binary64))) #s(literal -1 binary64))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

68.0ms
y
3.0ms
x
3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.5%1x
55.5%1y
55.5%1(*.f64 y #s(literal 2 binary64))
55.5%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.5%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.464478348493595e+240
1.813612827822008e+241
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5687962124715457e+189
7.723691467283068e+192
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.464478348493595e+240
1.813612827822008e+241
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5687962124715457e+189
7.723691467283068e+192
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify13.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Algorithm
egg-herbie
Rules
78×distribute-lft-neg-in_binary64
52×unsub-neg_binary64
46×distribute-neg-in_binary64
40×neg-sub0_binary64
40×neg-mul-1_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043165
162165
281165
3108161
4154161
5227161
6271161
7285161
8287161
9288161
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000254805147818501364069927626367655683308154800821653387104782081659209545431944533510880329053340878138807089955663726104295591257190120963678815521941214074157219047400732892880902176280753059461372069733879809562530442903552 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

soundness874.0ms (7.1%)

Memory
-26.8MiB live, 505.0MiB allocated
Rules
14 468×lower-fma.f64
14 468×lower-fma.f32
6 082×lower-+.f64
6 082×lower-+.f32
5 448×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03162054
19502028
233881926
091111817
0833
01333
13333
214228
378828
0817128
042220
073182
1226179
21257165
08251165
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 263 to 135 computations (48.7% saved)

preprocess53.0ms (0.4%)

Memory
7.1MiB live, 127.9MiB allocated
Compiler

Compiled 414 to 190 computations (54.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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