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

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze272.0ms (7.7%)

Memory
-11.0MiB live, 344.8MiB allocated; 79ms collecting garbage
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)

sample1.4s (39.7%)

Memory
1.5MiB live, 1 831.4MiB allocated; 264ms collecting garbage
Samples
775.0ms4 062×1valid
352.0ms4 194×0valid
Precisions
Click to see histograms. Total time spent on operations: 871.0ms
ival-sin: 309.0ms (35.5% of total)
ival-tan: 294.0ms (33.8% of total)
ival-div!: 148.0ms (17% of total)
ival-mult!: 63.0ms (7.2% of total)
adjust: 56.0ms (6.4% of total)
Bogosity

explain151.0ms (4.3%)

Memory
36.8MiB live, 173.8MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1250-0-(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
280-0-(/.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))))sensitivity940
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity940
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue310
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow31
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue310
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow31
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u280
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow28
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow28
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow28
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow28
Confusion
Predicted +Predicted -
+1530
-0103
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15300
-00103
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0103
128
2125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms250×1valid
15.0ms262×0valid
Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sin: 42.0ms (58.9% of total)
ival-tan: 15.0ms (21.1% of total)
ival-div!: 8.0ms (11.2% of total)
adjust: 3.0ms (4.2% of total)
ival-mult!: 3.0ms (4.2% of total)

preprocess60.0ms (1.7%)

Memory
-44.7MiB live, 15.7MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02684
15880
214878
332378
476578
5300378
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series19.0ms (0.5%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Counts
8 → 37
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
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))

rewrite242.0ms (6.9%)

Memory
-20.4MiB live, 215.2MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632187
03711940
123201930
080931830
Stop Event
iter-limit
node-limit
iter-limit
Counts
45 → 57
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))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
#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 (*.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 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (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 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx y y)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))) y))
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/92160 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))))))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (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 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 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 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (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 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))

eval10.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 487 to 417 computations (83.2% saved)

prune10.0ms (0.3%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New561470
Fresh000
Picked101
Done000
Total571471
Accuracy
61.2%
Counts
71 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.0%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
32.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
5.9%
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.8%
(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
44.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
55.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
56.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 584 to 410 computations (29.8% saved)

series66.0ms (1.9%)

Memory
3.7MiB live, 90.0MiB allocated; 12ms collecting garbage
Counts
31 → 128
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 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole 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))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole 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))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
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#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Calls

6 calls:

TimeVariablePointExpression
20.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
16.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
10.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
6.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
6.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (/ (/ x y) 2) 2 (PI) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))

rewrite235.0ms (6.7%)

Memory
-14.1MiB live, 272.2MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010376866
010745487
171035479
088705215
Stop Event
iter-limit
node-limit
iter-limit
Counts
159 → 243
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 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
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(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
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#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole 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))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
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#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
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#s(approx (* y 2) #s(hole binary64 (* 2 y)))
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#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 1/8 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))))
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
#s(literal 2 binary64)
(PI.f64)
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
(/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
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(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(sin.f64 (/.f64 x y))
(/.f64 (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 x y))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/384 binary64) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 0 binary64) x))) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64))))) x) #s(literal -2 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x))) y) #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 0 binary64) x)))) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) y) #s(literal -1 binary64) #s(literal 0 binary64)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y) #s(literal -1 binary64) #s(literal 0 binary64)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/48 binary64))))) y) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) y) #s(literal -1 binary64) #s(literal 0 binary64)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (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 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (*.f64 y y)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x)))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/322560 binary64) (pow.f64 x #s(literal 7 binary64)) (fma.f64 #s(literal 1/7680 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64)))) x) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (*.f64 y y))) (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y y))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y y))))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2880 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))

eval36.0ms (1%)

Memory
11.2MiB live, 56.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 9 824 to 1 362 computations (86.1% saved)

prune19.0ms (0.5%)

Memory
-15.2MiB live, 31.6MiB allocated; 2ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New25715272
Fresh549
Picked325
Done000
Total26521286
Accuracy
62.0%
Counts
286 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.2%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
45.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.0%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
41.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
42.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
42.5%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
2.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
44.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
55.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
57.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
55.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
56.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
56.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 017 to 705 computations (30.7% saved)

series90.0ms (2.6%)

Memory
-6.8MiB live, 60.7MiB allocated; 78ms collecting garbage
Counts
37 → 181
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 0 binary64))
(/.f64 y x)
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)
(+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (PI.f64) x)
(/.f64 #s(literal 1/2 binary64) 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))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
#s(literal 1 binary64)
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (* (/ y x) 0) #s(hole binary64 0))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* 1/48 (/ (* x (sin (PI))) (pow y 3))))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (* (+ (/ (PI) x) (/ 1/2 y)) x) #s(hole binary64 (PI)))
#s(approx (* (+ (/ (PI) x) (/ 1/2 y)) x) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (PI) x)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (+ (PI) (* 1/2 (/ x y))) x)))
#s(approx (/ (PI) x) #s(hole binary64 (/ (PI) x)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* 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))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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)))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole 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))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
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Calls

6 calls:

TimeVariablePointExpression
47.0ms
y
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) 1 (cos (/ x y)) (sin (/ x y)))
9.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) 1 (cos (/ x y)) (sin (/ x y)))
7.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) 1 (cos (/ x y)) (sin (/ x y)))
7.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) 1 (cos (/ x y)) (sin (/ x y)))
6.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) 1 (cos (/ x y)) (sin (/ x y)))

rewrite178.0ms (5.1%)

Memory
-11.4MiB live, 221.5MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014799672
015257984
083227669
Stop Event
iter-limit
node-limit
iter-limit
Counts
218 → 261
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
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(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
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#s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)
(+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (PI.f64) x)
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#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
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#s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))
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(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
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(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
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(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
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(cos.f64 (neg.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.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) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.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) (pow.f64 y #s(literal -2 binary64)))))))
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#s(approx (tan (+ (/ (/ x y) 2) (PI))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))) y) #s(literal 0 binary64)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))))) y) #s(literal 0 binary64)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))))) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)))) y) (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))))) y) #s(literal 0 binary64)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (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 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (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 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))))) y)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))) y)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))))) y)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/40320 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))))) y)))

eval42.0ms (1.2%)

Memory
26.2MiB live, 71.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 12 992 to 1 793 computations (86.2% saved)

prune31.0ms (0.9%)

Memory
2.5MiB live, 49.1MiB allocated; 3ms collecting garbage
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New29120311
Fresh01414
Picked325
Done022
Total29438332
Accuracy
62.2%
Counts
332 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.2%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
45.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.0%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.2%
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.4%
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
41.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
5.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y)))))
42.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
42.5%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
3.1%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
44.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
55.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
57.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y))) #s(literal -1 binary64)))
56.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64))))))) #s(literal -1 binary64)))
7.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
57.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
52.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))) #s(literal -1 binary64)))
55.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
55.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
56.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
53.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
56.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
56.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x)))))))
4.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
48.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y))))))))
50.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y))))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
52.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
56.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 2 244 to 1 508 computations (32.8% saved)

series131.0ms (3.7%)

Memory
-9.8MiB live, 87.2MiB allocated; 12ms collecting garbage
Counts
42 → 227
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y)
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (PI.f64)))
x
(*.f64 y (PI.f64))
y
(PI.f64)
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
(/.f64 x y)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x)))
#s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x))
(*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x)
(/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
(fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x 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))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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))))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (/ (* 1/2 (+ x (* y (PI)))) y) #s(hole binary64 (* 1/2 (PI))))
#s(approx (/ (* 1/2 (+ x (* y (PI)))) y) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (* 1/2 (+ x (* y (PI)))) #s(hole binary64 (* 1/2 (* y (PI)))))
#s(approx (* 1/2 (+ x (* y (PI)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (PI))))))
#s(approx (+ x (* y (PI))) #s(hole binary64 (* y (PI))))
#s(approx (+ x (* y (PI))) #s(hole binary64 (+ x (* y (PI)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) #s(hole binary64 (/ -1 (sin (+ (PI) (* 1/2 (PI)))))))
#s(approx (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) #s(hole binary64 (- (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))
#s(approx (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))
#s(approx (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))))) (* y (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/16 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/48 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))
#s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) #s(hole binary64 (sin (+ (PI) (* 1/2 (PI))))))
#s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (PI) (* 1/2 (PI)))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)))))
#s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)))))))
#s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))))))))))
#s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) #s(hole binary64 (+ (PI) (* 1/2 (PI)))))
#s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) #s(hole binary64 (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
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#s(approx (tan (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ (/ x y) 2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (* (/ (+ (* (PI) y) (* x 1/2)) (* x y)) x) #s(hole binary64 (PI)))
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#s(approx (/ (+ (* (PI) y) (* x 1/2)) (* x y)) #s(hole binary64 (/ (PI) x)))
#s(approx (/ (+ (* (PI) y) (* x 1/2)) (* x y)) #s(hole binary64 (/ (+ (PI) (* 1/2 (/ x y))) x)))
#s(approx (+ (* (PI) y) (* x 1/2)) #s(hole binary64 (* y (PI))))
#s(approx (+ (* (PI) y) (* x 1/2)) #s(hole binary64 (+ (* 1/2 x) (* y (PI)))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 2 (+ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 3))) (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/12 (/ (cos (* 1/2 (PI))) (pow y 4))) (* -1/48 (/ (cos (* 1/2 (PI))) (pow y 4))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ x (* y (+ 1 (sin (* 1/2 (PI))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* -1 (/ (* x (cos (* 1/2 (PI)))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI)))))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (+ (* -1/6 (/ (cos (* 1/2 (PI))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))))))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (* 1/2 (PI))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y))))))
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#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
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#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))
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#s(approx (/ (* 1/2 (+ x (* y (PI)))) y) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y))) y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y))) y)))))
Calls

6 calls:

TimeVariablePointExpression
62.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (* 1/2 (+ x (* y (PI)))) y) (* 1/2 (+ x (* y (PI)))) 1/2 (+ x (* y (PI))) x (* y (PI)) y (PI) -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (/ (+ (* (PI) y) (* x 1/2)) (* x y)) x) (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (+ (* (PI) y) (* x 1/2)) (* x 1/2) (* x y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
22.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (* 1/2 (+ x (* y (PI)))) y) (* 1/2 (+ x (* y (PI)))) 1/2 (+ x (* y (PI))) x (* y (PI)) y (PI) -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (/ (+ (* (PI) y) (* x 1/2)) (* x y)) x) (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (+ (* (PI) y) (* x 1/2)) (* x 1/2) (* x y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
18.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (* 1/2 (+ x (* y (PI)))) y) (* 1/2 (+ x (* y (PI)))) 1/2 (+ x (* y (PI))) x (* y (PI)) y (PI) -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (/ (+ (* (PI) y) (* x 1/2)) (* x y)) x) (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (+ (* (PI) y) (* x 1/2)) (* x 1/2) (* x y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
8.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (* 1/2 (+ x (* y (PI)))) y) (* 1/2 (+ x (* y (PI)))) 1/2 (+ x (* y (PI))) x (* y (PI)) y (PI) -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (/ (+ (* (PI) y) (* x 1/2)) (* x y)) x) (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (+ (* (PI) y) (* x 1/2)) (* x 1/2) (* x y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
7.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (* 1/2 (+ x (* y (PI)))) y) (* 1/2 (+ x (* y (PI)))) 1/2 (+ x (* y (PI))) x (* y (PI)) y (PI) -1 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+ (* (/ x y) 1/2) (PI)) (/ x y) (/ (PI) 2) 2 (/ (tan (+ (/ (/ x y) 2) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (* (/ (+ (* (PI) y) (* x 1/2)) (* x y)) x) (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (+ (* (PI) y) (* x 1/2)) (* x 1/2) (* x y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) 1 (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))

rewrite190.0ms (5.4%)

Memory
19.6MiB live, 245.2MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166912581
0172011423
0820310941
Stop Event
iter-limit
node-limit
iter-limit
Counts
269 → 319
Calls
Call 1
Inputs
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(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y)
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (PI.f64)))
x
(*.f64 y (PI.f64))
y
(PI.f64)
#s(literal -1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
#s(literal 0 binary64)
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Outputs
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(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64)))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
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(/.f64 (sin.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x))))
(tan.f64 (+.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x)) (PI.f64)))
(tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x)))
#s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x))
(*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x)
(/.f64 (neg.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x y)))
(/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y))
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(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) y) (*.f64 (PI.f64) y)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 (PI.f64) y) (*.f64 x #s(literal 1/2 binary64))))
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(fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (*.f64 (PI.f64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (PI.f64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))))
(/.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(sin.f64 (/.f64 x y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
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(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
#s(literal 1 binary64)
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(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
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(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y (PI.f64))) (*.f64 y #s(literal 2 binary64)))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))
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#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
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#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))
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#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (/ (* 1/2 (+ x (* y (PI)))) y) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (/ (* 1/2 (+ x (* y (PI)))) y) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (* 1/2 (+ x (* y (PI)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (PI.f64))))
#s(approx (* 1/2 (+ x (* y (PI)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))))
#s(approx (+ x (* y (PI))) (*.f64 y (PI.f64)))
#s(approx (+ x (* y (PI))) (+.f64 x (*.f64 y (PI.f64))))
#s(approx x x)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.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) (pow.f64 y #s(literal -2 binary64)))))))
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#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))))
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#s(approx (sin (/ x y)) (/.f64 x y))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y y)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))))
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#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (/ x y) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))
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#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
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#s(approx (/ (* 1/2 (+ x (* y (PI)))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (* 1/2 (+ x (* y (PI)))) y) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (* 1/2 (+ x (* y (PI)))) (*.f64 #s(literal 1/2 binary64) x))
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#s(approx (+ x (* y (PI))) x)
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#s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x)))))
#s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (tan.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x))))
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#s(approx (* (/ (+ (* (PI) y) (* x 1/2)) (* x y)) x) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x))))
#s(approx (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x)))
#s(approx (+ (* (PI) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (PI) y) (* x 1/2)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (PI.f64)) x))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y))))))
#s(approx (sin (/ x y)) (sin.f64 (/.f64 x y)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y))))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))
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#s(approx (* 1/2 (+ x (* y (PI)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (PI.f64)) x)) #s(literal 1/2 binary64)))))
#s(approx (+ x (* y (PI))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (PI.f64)) x)) #s(literal 1 binary64)))))
#s(approx (/ -1 (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
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#s(approx (sin (/ x (* y 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (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 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))))) y)))
#s(approx (sin (/ x (* y 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (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 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))))) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y) (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) y))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) y))) y)))
#s(approx (sin (/ x y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))))) y)))
#s(approx (sin (/ x y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)))))) y)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))) y)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))) y))))

eval103.0ms (2.9%)

Memory
3.0MiB live, 100.7MiB allocated; 45ms collecting garbage
Compiler

Compiled 19 207 to 2 358 computations (87.7% saved)

prune42.0ms (1.2%)

Memory
-1.1MiB live, 88.7MiB allocated; 8ms collecting garbage
Pruning

41 alts after pruning (37 fresh and 4 done)

PrunedKeptTotal
New36911380
Fresh32629
Picked415
Done134
Total37741418
Accuracy
62.3%
Counts
418 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
45.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.0%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.4%
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.5%
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 #s(approx (+ (* (PI) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 #s(approx (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
44.2%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
41.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
5.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y)))))
42.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
42.5%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
3.1%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
44.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
55.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
56.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64))))))) #s(literal -1 binary64)))
52.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))) #s(literal -1 binary64)))
57.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y)))))
55.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
56.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
53.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
56.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
55.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
3.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
56.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
53.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
56.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
56.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x)))))))
4.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
52.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (-.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y))))))
55.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))
48.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y))))))))
50.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y))))))
53.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
52.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
56.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 3 242 to 1 299 computations (59.9% saved)

regimes91.0ms (2.6%)

Memory
0.7MiB live, 149.8MiB allocated; 13ms collecting garbage
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (+.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (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 y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 #s(approx (/ (+ (* (PI) y) (* x 1/2)) (* x y)) (/.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 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (PI.f64) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (sin (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2))) (-.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y))))))
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 #s(approx (+ (* (PI) y) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 x #s(literal 1/2 binary64))) (*.f64 x y)) x))) (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 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (tan.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64))))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 x y)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (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)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (PI.f64)))) y)))))
Calls

5 calls:

26.0ms
(*.f64 y #s(literal 2 binary64))
17.0ms
y
16.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.0ms
x
14.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.9%2(*.f64 y #s(literal 2 binary64))
57.3%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
57.3%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
57.3%1x
58.9%2y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes22.0ms (0.6%)

Memory
-6.8MiB live, 38.9MiB allocated; 4ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
Calls

5 calls:

5.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
4.0ms
y
4.0ms
(*.f64 y #s(literal 2 binary64))
4.0ms
x
3.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
56.8%1x
56.8%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
56.8%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
56.8%1(*.f64 y #s(literal 2 binary64))
56.8%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes19.0ms (0.5%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
Calls

5 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
(/.f64 x (*.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)))))
Results
AccuracySegmentsBranch
56.7%1(*.f64 y #s(literal 2 binary64))
56.7%1y
56.7%1x
56.7%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
56.7%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes52.0ms (1.5%)

Memory
-16.0MiB live, 29.0MiB allocated; 4ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

38.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
56.1%1(*.f64 y #s(literal 2 binary64))
56.1%1x
56.1%1y
57.9%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
56.1%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) y))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) y))) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 #s(approx (+ (+ (* (/ x y) 1/2) (PI)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

2 calls:

3.0ms
(/.f64 x (*.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)))))
Results
AccuracySegmentsBranch
56.1%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
56.1%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

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

Compiled 16 to 13 computations (18.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Steps
TimeLeftRight
0.0ms
1.7855728095465417e-170
4.299554209096054e-170

Profiling

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