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

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze218.0ms (6.7%)

Memory
18.2MiB live, 354.9MiB allocated; 35ms collecting garbage
Algorithm
1×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)

sample1.5s (44.3%)

Memory
25.3MiB live, 1 881.2MiB allocated; 344ms collecting garbage
Samples
807.0ms4 020×1valid
349.0ms4 236×0valid
Precisions
Click to see histograms. Total time spent on operations: 829.0ms
ival-div!: 277.0ms (33.4% of total)
ival-tan: 228.0ms (27.5% of total)
ival-sin: 207.0ms (25% of total)
ival-mult!: 60.0ms (7.2% of total)
adjust: 57.0ms (6.9% of total)
Bogosity

preprocess51.0ms (1.6%)

Memory
-37.7MiB live, 54.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02684
15880
214878
332378
476578
5300378
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.6%
(/.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 22 to 16 computations (27.3% saved)

series46.0ms (1.4%)

Memory
9.0MiB live, 56.0MiB allocated; 2ms 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
30.0ms
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))))
6.0ms
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))))

rewrite195.0ms (5.9%)

Memory
5.1MiB live, 332.6MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval8.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 292 to 416 computations (67.8% saved)

prune8.0ms (0.3%)

Memory
-26.5MiB live, 20.7MiB allocated; 1ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New511162
Fresh000
Picked101
Done000
Total521163
Accuracy
61.7%
Counts
63 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.2%
(/.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)))))
7.8%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
49.6%
(/.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)))))
49.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
49.6%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
▶37.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
44.5%
(/.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))))
▶44.5%
(/.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)))))
45.9%
#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)))
▶56.6%
#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)))))
▶55.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 346 to 312 computations (9.8% saved)

series53.0ms (1.6%)

Memory
21.9MiB live, 74.6MiB allocated; 5ms collecting garbage
Counts
32 → 118
Calls
Call 1
Inputs
#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)))))
(/.f64 #s(literal 1 binary64) (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)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 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)))))
#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 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(literal -1/48 binary64)
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))
(*.f64 x x)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(/.f64 #s(literal 1/2 binary64) y)
(/.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)))
(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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #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) 1/2))) #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 (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 x #s(hole binary64 x))
#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 (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 (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
#s(approx (/ (* x x) (* (* y y) y)) #s(hole binary64 (/ (pow x 2) (pow y 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (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 (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3)))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (sin (/ x y)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (- 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#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 (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/12 (/ (pow x 2) (pow y 2)))) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (* 1/360 (/ (pow x 4) (pow y 4))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4)))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (+ (* -1/20160 (/ (pow x 6) (pow y 6))) (* 1/360 (/ (pow x 4) (pow y 4)))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* 1/360 (pow x 4)) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (* (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (+ (* 2 (/ (+ (* -1/5760 (pow x 8)) (+ (* -1/10080 (pow x 8)) (+ (* -1/23040 (pow x 8)) (* -1/645120 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4))))))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -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))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) 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))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) 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))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) -1/48 (/ (* x x) (* (* y y) y)) (* x x) (* (* y y) y) (* y y) (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
9.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) -1/48 (/ (* x x) (* (* y y) y)) (* x x) (* (* y y) y) (* y y) (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
7.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) -1/48 (/ (* x x) (* (* y y) y)) (* x x) (* (* y y) y) (* y y) (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
6.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) -1/48 (/ (* x x) (* (* y y) y)) (* x x) (* (* y y) y) (* y y) (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))
5.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) -1/48 (/ (* x x) (* (* y y) y)) (* x x) (* (* y y) y) (* y y) (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)))

rewrite188.0ms (5.7%)

Memory
15.0MiB live, 251.0MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08345492
08754812
153354812
080484594
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
150 → 242
Calls
Call 1
Inputs
#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)))))
(/.f64 #s(literal 1 binary64) (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)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 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)))))
#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 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(literal -1/48 binary64)
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))
(*.f64 x x)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(/.f64 #s(literal 1/2 binary64) y)
(/.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)))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))
#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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #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) 1/2))) #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 (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 x #s(hole binary64 x))
#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 (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 (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
#s(approx (/ (* x x) (* (* y y) y)) #s(hole binary64 (/ (pow x 2) (pow y 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (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 (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3)))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (sin (/ x y)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (- 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#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 (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/12 (/ (pow x 2) (pow y 2)))) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (* 1/360 (/ (pow x 4) (pow y 4))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4)))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (+ (* -1/20160 (/ (pow x 6) (pow y 6))) (* 1/360 (/ (pow x 4) (pow y 4)))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* 1/360 (pow x 4)) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (* (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (+ (* 2 (/ (+ (* -1/5760 (pow x 8)) (+ (* -1/10080 (pow x 8)) (+ (* -1/23040 (pow x 8)) (* -1/645120 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4))))))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -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))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) 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))))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #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) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 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)))
#s(literal 1 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))))
(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)))))
(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)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
#s(literal 2 binary64)
(/.f64 (neg.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (neg.f64 #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))
(/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (neg.f64 (sin.f64 (/.f64 x y))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))))
(/.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 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (+.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(tan.f64 (/.f64 x (+.f64 y y)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 x (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 3 binary64)) #s(literal -1/110592 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)))
(fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y)))
#s(literal -1/48 binary64)
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 (*.f64 y y) y)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (*.f64 y y) y)))
(/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y)
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 y y) y)
(*.f64 y (*.f64 y y))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
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(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
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#s(approx (* (/ x y) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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#s(approx (* x x) (*.f64 x x))
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#s(approx (cos (/ x y)) #s(literal 1 binary64))
#s(approx (cos (/ x y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))
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#s(approx (sin (/ x y)) (/.f64 x y))
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#s(approx (/ 1 (cos (* (/ x y) 1/2))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (cos (* (/ x y) 1/2)) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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))))
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#s(approx (cos (/ x y)) (cos.f64 (/.f64 x y)))
#s(approx (sin (/ x y)) (sin.f64 (/.f64 x y)))
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#s(approx y y)
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#s(approx (* (* y y) y) (*.f64 (*.f64 y y) y))
#s(approx (* y y) (*.f64 y y))
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
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#s(approx (- 1 (cos (/ x y))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/720 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) #s(literal 1/24 binary64))))) (*.f64 y y)))
#s(approx (cos (/ x y)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/24 binary64))))
#s(approx (cos (/ x y)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/720 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
#s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) y))
#s(approx (sin (/ x y)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))) y))
#s(approx (sin (/ x y)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/5040 binary64) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))) y))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.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 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.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 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)) #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 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) x))))) #s(literal 1 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 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #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 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1920 binary64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal 1/1920 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/322560 binary64))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/645120 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))))) (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 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/92160 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.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)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #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)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/645120 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/40320 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/10080 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal 1/120 binary64)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/5040 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) (neg.f64 x)) y)))

eval32.0ms (1%)

Memory
-16.4MiB live, 75.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 211 to 1 439 computations (65.8% saved)

prune21.0ms (0.6%)

Memory
-7.4MiB live, 48.5MiB allocated; 4ms collecting garbage
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New24014254
Fresh246
Picked325
Done000
Total24520265
Accuracy
62.4%
Counts
265 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶7.5%
(/.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)))))
7.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.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)))))
8.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
7.8%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
49.6%
(/.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)))))
49.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
▶49.6%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
44.5%
(/.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
34.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
▶45.9%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶56.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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)))))))
▶56.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
56.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓56.6%
#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)))))
43.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
46.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
53.4%
#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))))
✓55.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 729 to 647 computations (11.2% saved)

series96.0ms (2.9%)

Memory
21.5MiB live, 115.1MiB allocated; 5ms collecting garbage
Counts
41 → 208
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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)))))))
(/.f64 #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))))))
#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 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(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))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (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)
(*.f64 y y)
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.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))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(sin.f64 (/.f64 x (+.f64 y y)))
(/.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 #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)))))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.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 x (*.f64 y #s(literal 2 binary64)))
(*.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 (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #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 (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #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)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (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)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (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 (sin (* (/ x y) 1/2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #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) 1/2)) #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) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 4))))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* (pow x 2) (+ (* -1/46080 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 6))) (* 1/384 (/ (sin (* 1/2 (PI))) (pow y 4))))))))))
#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 (/ (/ (- 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 (+ (* (/ (* 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 (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #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 (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #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 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #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 y))) (sin (/ x (+ y y)))) #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 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y 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 (tan (/ x (+ y 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 (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #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 y))) #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 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* (pow y 2) (- 1 (sin (* 1/2 (PI))))) (pow x 2)))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* -2 (* x (* y (cos (* 1/2 (PI)))))) (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* -2 (* y (cos (* 1/2 (PI))))) (* x (- (sin (* 1/2 (PI))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* -2 (* y (cos (* 1/2 (PI))))) (* x (- (+ (sin (* 1/2 (PI))) (* x (- (* 1/3 (/ (cos (* 1/2 (PI))) y)) (* 5/12 (/ (cos (* 1/2 (PI))) y))))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (* y (- 1 (sin (* 1/2 (PI))))) x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (- (+ (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* (pow x 2) (- (* -1/24 (/ (sin (* 1/2 (PI))) (pow y 3))) (+ (* -1/6 (/ (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y))) (pow y 2))) (* 1/120 (/ (- 1 (sin (* 1/2 (PI)))) (pow y 3))))))) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#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 (* -1 (/ (* x (cos (* 1/2 (PI)))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y)))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* x (- (* 1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))) (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))))) (/ (cos (* 1/2 (PI))) y)))) (sin (* 1/2 (PI))))))
#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))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (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 (+ (/ 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 (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 (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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (/ 1 (+ (* (cos (* 1/2 (PI))) (sin (* 1/2 (/ x y)))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (* 1/2 (/ x y)))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI)))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI))))))
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#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
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Calls

6 calls:

TimeVariablePointExpression
36.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
25.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite216.0ms (6.6%)

Memory
-20.0MiB live, 309.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123210928
012929321
176669321
080258946
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
249 → 359
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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)))))))
(/.f64 #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))))))
#s(literal 1 binary64)
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(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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(/.f64 x y)
x
y
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(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
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#s(approx (tan (/ x (+ y y))) #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 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #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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Outputs
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #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) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
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(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
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(+.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
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(*.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)
x
y
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.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))))
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#s(literal 1 binary64)
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(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x x) y) y)
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(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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(*.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)))
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#s(literal 1/8 binary64)
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(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
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(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
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#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (/ x y) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (sin (/ x y)) (/.f64 x y))
#s(approx (sin (/ x y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) y)) x))
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#s(approx (sin (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (+ y y))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
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#s(approx (sin (* (/ x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
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#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
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#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x)))
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#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
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#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (/ x (+ y y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
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#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
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#s(approx (sin (/ x y)) (sin.f64 (/.f64 x y)))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) y))))
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#s(approx y y)
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#s(approx (* y y) (*.f64 y y))
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#s(approx (+ y y) (+.f64 y y))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) y) #s(literal 1/2 binary64) x) y))
#s(approx (+ y y) (+.f64 y y))
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#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/5040 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (+ y y))) (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)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (+ y y))) (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)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/645120 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))

eval35.0ms (1.1%)

Memory
25.4MiB live, 71.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 034 to 1 804 computations (70.1% saved)

prune33.0ms (1%)

Memory
-40.8MiB live, 65.6MiB allocated; 8ms collecting garbage
Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New25917276
Fresh11213
Picked325
Done022
Total26333296
Accuracy
62.4%
Counts
296 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶4.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.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)))))
7.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.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) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
2.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.8%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.4%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
49.6%
(/.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)))))
49.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
7.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
✓49.6%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
44.5%
(/.f64 #s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
34.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
✓45.9%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶51.4%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
6.9%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x y)))))
1.4%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
▶56.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) #s(literal 1 binary64)))))
54.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) #s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sin (* (/ x y) 1/2)) (*.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)))))))
▶56.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
56.0%
#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 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
7.1%
#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 x y) #s(literal 1/2 binary64))))))
56.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
✓56.6%
#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)))))
52.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
43.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
46.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
53.4%
#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))))
52.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓55.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 551 to 1 336 computations (13.9% saved)

series51.0ms (1.6%)

Memory
10.1MiB live, 104.0MiB allocated; 4ms collecting garbage
Counts
45 → 235
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) #s(literal 1 binary64)))))
(/.f64 #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))) #s(literal 1 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))) #s(literal 1 binary64)))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.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)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 x y))
#s(literal 1/8 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.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))))
(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))
(sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
(sin.f64 (/.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 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.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 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.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 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(sin.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 y y)
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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 (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) #s(hole binary64 1))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) #s(hole binary64 (+ 1 (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) #s(hole binary64 (+ 1 (* x (- (* x (- (* 1/8 (/ 1 (pow y 2))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (pow y 2))))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) #s(hole binary64 (+ 1 (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (pow y 3))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (pow y 3))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (pow y 2))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (pow y 2))))) y)))))) (* 1/8 (/ 1 (pow y 2)))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (pow y 2))))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) #s(hole binary64 1))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) #s(hole binary64 (+ 1 (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) #s(hole binary64 (+ 1 (* x (+ (* -1/8 (/ x (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (- (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))) (* 1/8 (/ 1 (pow y 2))))))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #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))))))
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Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) 1) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2)))) (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))) (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (* x (/ x (* y y))) (/ x (* y y)) (* y y) (* (/ (PI) 2) (/ (PI) 2)) (- (/ x y) (/ (PI) 2)))
7.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) 1) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2)))) (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))) (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (* x (/ x (* y y))) (/ x (* y y)) (* y y) (* (/ (PI) 2) (/ (PI) 2)) (- (/ x y) (/ (PI) 2)))
7.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* (/ x y) 1/2)) 1) (cos (* (/ x y) 1/2)) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2)))) (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))) (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (* x (/ x (* y y))) (/ x (* y y)) (* y y) (* (/ (PI) 2) (/ (PI) 2)) (- (/ x y) (/ (PI) 2)))
6.0ms
y
@0
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6.0ms
y
@inf
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rewrite166.0ms (5.1%)

Memory
-11.2MiB live, 276.4MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130912073
013819542
080579188
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
280 → 407
Calls
Call 1
Inputs
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#s(approx (/ (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (sin (* 1/2 (PI))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ (sin (* 1/2 (PI))) (* -1 (/ (- (* -1/3 (* x (cos (* 1/2 (PI))))) (* 4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4)))) (pow x 3)))) y))) (* 4 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- 1 (sin (* 1/2 (PI))))) (pow x 4)))) y)) (* 2 (/ (cos (* 1/2 (PI))) x))) y)) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
#s(approx (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (/ (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (+ (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/24 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 2)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI)))))))) (pow y 2))) (+ (* -1/120 (/ (* (pow x 3) (- 1 (sin (* 1/2 (PI))))) (pow y 2))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
#s(approx (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* -1 (* x (cos (* 1/2 (PI)))))) y))) (sin (* 1/2 (PI))))))
#s(approx (- 1 (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ x y) (/ (PI) 2))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* -1/2 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* -1 (* x (cos (* 1/2 (PI)))))) y))) (sin (* 1/2 (PI))))))
#s(approx (sin (/ (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ 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 (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (- (/ 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)))))
Outputs
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(pow.f64 (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(+.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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)
x
y
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64))))))
(fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x)))
(+.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)))
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (*.f64 y y)) x)
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 y y))
#s(literal 1/8 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.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 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) y)
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y)))) (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (neg.f64 (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (*.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))))))
(-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))
(sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
(sin.f64 (/.f64 x y))
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(/.f64 (neg.f64 x) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
(/.f64 (neg.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (neg.f64 (sin.f64 (/.f64 x y))))
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(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(tan.f64 (/.f64 x (+.f64 y y)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (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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#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) x))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) x))
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#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (-.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
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#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (/ x y) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (sin (/ x y)) (/.f64 x y))
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#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) x))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) x))
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#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (-.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)))) x) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) x #s(literal 1 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y))) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal -1/2 binary64))) x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (/ x y) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
#s(approx (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (* (/ x y) (/ x y)) (*.f64 (/.f64 x (*.f64 y y)) x))
#s(approx (/ x (* y y)) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x y) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
#s(approx (- (/ x y) (/ (PI) 2)) (-.f64 (/.f64 x y) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(approx (sin (* (/ x y) 1/2)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x y)))))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64)))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x)))
#s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x y)))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x y))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (sin (/ x y)) (sin.f64 (/.f64 x y)))
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#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
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#s(approx (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (*.f64 (/.f64 x (*.f64 y y)) x))
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#s(approx (- (/ x y) (/ (PI) 2)) (/.f64 x y))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (neg.f64 x) y))))
#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (neg.f64 x) y))))))
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#s(approx (- (/ x y) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))))
#s(approx y y)
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (PI.f64) y) x)) y))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) y) #s(literal 1/2 binary64) x) y))
#s(approx (* y 2) (+.f64 y y))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) y) #s(literal 1/2 binary64) x) y))
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#s(approx (* y y) (*.f64 y y))
#s(approx (- (/ x y) (/ (PI) 2)) (/.f64 (fma.f64 (*.f64 (PI.f64) y) #s(literal -1/2 binary64) x) y))
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#s(approx (sin (* (/ x y) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x))) #s(literal 1 binary64)))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/46080 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x))) #s(literal 1 binary64)))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/46080 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)))))
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#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) x)))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x)) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) y)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x) #s(literal -1/6 binary64))) y)) (neg.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x))) y)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x) #s(literal -1/6 binary64))) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 y y))) #s(literal -1/120 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x) #s(literal 1/6 binary64))))) y)) (neg.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x))) y)))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)) y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)))) y)) (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) y) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)) y) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/5040 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.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)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #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)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/645120 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) x)))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x)) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) y)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x) #s(literal -1/6 binary64))) y)) (neg.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x))) y)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x) #s(literal -1/6 binary64))) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 y y))) #s(literal -1/120 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x) #s(literal 1/6 binary64))))) y)) (neg.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x))) y)))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)) y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)))) y)) (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) y) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)) y) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))

eval46.0ms (1.4%)

Memory
15.1MiB live, 107.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 142 to 2 216 computations (69% saved)

prune41.0ms (1.3%)

Memory
1.0MiB live, 100.1MiB allocated; 4ms collecting garbage
Pruning

44 alts after pruning (39 fresh and 5 done)

PrunedKeptTotal
New35520375
Fresh51924
Picked415
Done044
Total36444408
Accuracy
62.5%
Counts
408 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.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)))))
8.2%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (-.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)))))
3.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (- (/ x y) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(approx (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (*.f64 (/.f64 x (*.f64 y y)) x)) (-.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 #s(literal 1 binary64) (sin.f64 (/.f64 #s(approx (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (-.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)))))
7.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.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) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
8.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
2.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.8%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.4%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
49.6%
(/.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)))))
49.4%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
6.3%
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
7.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
✓49.6%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
34.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
✓45.9%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
✓51.4%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
6.9%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x y)))))
1.4%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
3.1%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 binary64))))
56.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
54.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(literal 1 binary64)))))
53.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sin (* (/ x y) 1/2)) (*.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))) #s(literal 1 binary64)))))
56.0%
#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 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
7.1%
#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 x y) #s(literal 1/2 binary64))))))
56.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
56.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
56.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
4.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
✓56.6%
#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)))))
52.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
56.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))
43.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
46.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
53.4%
#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))))
52.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
51.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓55.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 2 074 to 1 379 computations (33.5% saved)

regimes102.0ms (3.1%)

Memory
14.5MiB live, 217.9MiB allocated; 42ms collecting garbage
Counts
63 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (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) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.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 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.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) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 #s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.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)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) #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 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(/.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)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) #s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(literal 1 binary64)))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.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) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sin (* (/ x y) 1/2)) (*.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))) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) #s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.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) (cos.f64 (/.f64 x y)))) (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) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) 1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) #s(literal 1 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 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #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))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sin (* (/ x y) 1/2)) (*.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(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(approx (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (-.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 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(approx (- (* x (/ x (* y y))) (* (/ (PI) 2) (/ (PI) 2))) (*.f64 (/.f64 x (*.f64 y y)) x)) (-.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)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (- (/ x y) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 (/.f64 x y)))) (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) (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)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/48 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))))) (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.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)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

35.0ms
(*.f64 y #s(literal 2 binary64))
17.0ms
y
16.0ms
x
16.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
14.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
56.6%1(*.f64 y #s(literal 2 binary64))
58.5%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
56.6%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
56.6%1x
56.6%1y
Compiler

Compiled 21 to 21 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-31.6MiB live, 15.5MiB allocated; 4ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (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) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.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 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
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

1 calls:

6.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.4%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes30.0ms (0.9%)

Memory
7.8MiB live, 46.0MiB allocated; 15ms collecting garbage
Accuracy

Total -35.3b remaining (-125%)

Threshold costs -35.3b (-125%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/8 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (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) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

17.0ms
x
3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
y
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
55.8%1x
55.8%1(*.f64 y #s(literal 2 binary64))
55.8%1y
55.8%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.8%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 21 to 21 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4590539280366979e+50
1.0053475610451747e+52
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.1683462351359386e+77
5.495125339009362e+78
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations120.0ms (3.7%)

Memory
-9.2MiB live, 89.8MiB allocated; 41ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 48 to 38 computations (20.8% saved)

preprocess60.0ms (1.8%)

Memory
40.0MiB live, 83.2MiB allocated; 11ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 391 to 298 computations (23.8% saved)

end0.0ms (0%)

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

Profiling

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