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

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze215.0ms (6%)

Memory
-8.3MiB live, 285.9MiB allocated; 75ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.5s (42.3%)

Memory
28.9MiB live, 1 702.5MiB allocated; 369ms collecting garbage
Samples
837.0ms4 054×1valid
389.0ms4 202×0valid
Precisions
Click to see histograms. Total time spent on operations: 899.0ms
ival-tan: 334.0ms (37.2% of total)
ival-sin: 304.0ms (33.8% of total)
ival-div!: 132.0ms (14.7% of total)
adjust: 86.0ms (9.6% of total)
ival-mult!: 44.0ms (4.9% of total)
Bogosity

preprocess33.0ms (0.9%)

Memory
-28.2MiB live, 18.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02684
18378
230778
392678
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(/.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)

series20.0ms (0.5%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Counts
8 → 37
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
Calls

6 calls:

TimeVariablePointExpression
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))))
4.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
3.0ms
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))))

rewrite235.0ms (6.6%)

Memory
23.3MiB live, 211.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632187
03711940
123221940
089551840
Stop Event
iter-limit
node-limit
iter-limit
Counts
45 → 61
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 (neg.f64 (tan.f64 (/.f64 x (+.f64 y y))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 x (+.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 (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)))) (neg.f64 (cos.f64 (/.f64 x (+.f64 y 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 (+.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 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.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))))
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#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 (-.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 (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)))

eval43.0ms (1.2%)

Memory
-26.7MiB live, 19.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 334 to 425 computations (68.1% saved)

prune9.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New431457
Fresh000
Picked101
Done000
Total441458
Accuracy
60.0%
Counts
58 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.2%
(/.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)))))
41.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.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)))))
42.6%
(/.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)))))
41.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
30.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 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)))
38.1%
(/.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))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.9%
(/.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)))))
43.4%
#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)))
45.4%
#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)))
54.8%
#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)))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 446 to 398 computations (10.8% saved)

series79.0ms (2.2%)

Memory
-14.8MiB live, 89.1MiB allocated; 6ms collecting garbage
Counts
29 → 129
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
(/.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)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.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 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 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (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) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x 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 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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (sin (/ x y)) (+ 1 (cos (/ 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 (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (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 (+ 2 (* (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 (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))))))))
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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))) (* 1/48 (/ (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 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))))
#s(approx (sin (/ 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)))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
24.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
6.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
4.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
4.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))

rewrite205.0ms (5.7%)

Memory
33.9MiB live, 261.7MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07997143
08336208
151356120
081535816
Stop Event
iter-limit
node-limit
iter-limit
Counts
158 → 241
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
(/.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)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.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 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 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (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))))))
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#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) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x 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 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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ 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 (/ (sin (/ x y)) (+ 1 (cos (/ 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 (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (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 (+ 2 (* (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 (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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#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 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (cos (/ x y))))))
#s(approx (sin (/ x y)) #s(hole binary64 (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 (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
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#s(approx (sin (/ 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)))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y))) (neg.f64 (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 y y))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(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))))
x
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 1/8 binary64)
(/.f64 (neg.f64 #s(approx (tan (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 #s(approx (tan (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (tan (/ x (+ y y))) (*.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)
#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 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)
#s(literal 2 binary64)
(/.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 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y 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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.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))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)
(sin.f64 (/.f64 x (+.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 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y 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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.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)))
(sin.f64 (/.f64 x y))
(/.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))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.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))))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 x y))))
(cos.f64 (neg.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (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 y))) (sin (/ x (+ y y)))) (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 (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (* x x) (* y y)) (*.f64 x (/.f64 x (*.f64 y y))))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (tan (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (tan (/ x (+ y y))) (*.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 y))) (*.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 y))) (*.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) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (sin (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (+ y y))) (*.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 y))) (*.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 y))) (*.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 (/ x (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (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 y))) (sin (/ x (+ y y)))) (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 y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (tan (/ x (+ y y))) (*.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 y))) (*.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 y))) (*.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 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (+ y y))) (*.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))
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#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x)))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 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 1/120 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) #s(literal -1/5040 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/120 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)))) (+.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/322560 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7680 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))))))
#s(approx (tan (/ x (+ y y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y))) y)))
#s(approx (tan (/ x (+ y y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 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 1/8 binary64)) (*.f64 y y))))) y)))
#s(approx (tan (/ x (+ y y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/10080 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 7 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) (fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x))))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/2880 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 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y)))))))) 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 #s(literal 1/5040 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 7 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) (neg.f64 x)) y)))

eval36.0ms (1%)

Memory
-38.3MiB live, 61.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 3 346 to 1 092 computations (67.4% saved)

prune19.0ms (0.5%)

Memory
-0.1MiB live, 46.2MiB allocated; 5ms collecting garbage
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New16818186
Fresh819
Picked235
Done000
Total17822200
Accuracy
60.1%
Counts
200 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
6.2%
(/.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 y))))
41.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))
5.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.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 (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
41.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
19.1%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
35.3%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(approx (+ 1 (cos (/ x y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.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 y))))
29.8%
(/.f64 (/.f64 #s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
38.1%
(/.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))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (+.f64 y y))))
41.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
37.9%
(/.f64 #s(approx (tan (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
29.9%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (/.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)))
30.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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)))
43.4%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (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)))
54.8%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
45.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 704 to 624 computations (11.4% saved)

series74.0ms (2.1%)

Memory
-4.7MiB live, 134.6MiB allocated; 24ms collecting garbage
Counts
42 → 203
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (+ y y))) (*.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 (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))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(sin.f64 (/.f64 x y))
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.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)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#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 (/ 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))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (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 2))) (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 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 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 (* (+ (* -1/48 (/ (* 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))))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
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#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #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 y))) #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)))))
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#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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (sin (+ (* 1/2 (PI)) (/ x y)))))))
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#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 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))))))
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#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
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#s(approx (* y 2) #s(hole binary64 (* 2 y)))
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#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #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))))))))
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#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))))))
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Calls

6 calls:

TimeVariablePointExpression
15.0ms
y
@inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 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 y)))) (tan (/ x (* y 2))) (sin (/ x (+ y y))) (* (+ (* -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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (PI) (sin (/ x (* y 2))))
12.0ms
x
@-inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 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 y)))) (tan (/ x (* y 2))) (sin (/ x (+ y y))) (* (+ (* -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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (PI) (sin (/ x (* y 2))))
9.0ms
x
@inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 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 y)))) (tan (/ x (* y 2))) (sin (/ x (+ y y))) (* (+ (* -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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (PI) (sin (/ x (* y 2))))
8.0ms
y
@-inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 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 y)))) (tan (/ x (* y 2))) (sin (/ x (+ y y))) (* (+ (* -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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (PI) (sin (/ x (* y 2))))
7.0ms
x
@0
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 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 y)))) (tan (/ x (* y 2))) (sin (/ x (+ y y))) (* (+ (* -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) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (PI) (sin (/ x (* y 2))))

rewrite211.0ms (5.9%)

Memory
34.8MiB live, 358.5MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130011967
0135710607
0831910183
Stop Event
iter-limit
node-limit
iter-limit
Counts
245 → 333
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
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#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)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (+ y y))) (*.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)
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(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
#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))))))))
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#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))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (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 2))) (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 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 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 (* (+ (* -1/48 (/ (* 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)))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 1))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (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 (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (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 (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (/ x y)))
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#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 61/1920 (/ (pow x 2) (pow y 5))) (* 7/24 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/322560 (/ 1 (pow y 7))) (* 13/7680 (/ 1 (pow y 7)))))) (* 61/1920 (/ 1 (pow y 5))))) (* 7/24 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ (cos (/ x y)) 1) #s(hole binary64 2))
#s(approx (+ (cos (/ x y)) 1) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (cos (/ x y)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (+ (cos (/ x y)) 1) #s(hole binary64 (+ 2 (* (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 (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 (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 2 (+ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 3))) (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/12 (/ (cos (* 1/2 (PI))) (pow y 4))) (* -1/48 (/ (cos (* 1/2 (PI))) (pow y 4))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ x (* y (+ 1 (sin (* 1/2 (PI))))))))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI)))))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (+ (* -1/6 (/ (cos (* 1/2 (PI))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))))))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (* 1/2 (PI))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y))))))
#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 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #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))) (sin (/ x (+ y y)))) #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 y))) #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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y))))))
#s(approx (+ (cos (/ x y)) 1) #s(hole binary64 (+ 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (sin (+ (* 1/2 (PI)) (/ x y))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (sin (+ (* 1/2 (PI)) (/ x y)))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (+ (* 1/2 (PI)) (/ x y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (/ x y)))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (/ 1 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 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y)))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) (/ 1 y))))))
#s(approx y #s(hole binary64 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 (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (/ (+ x (* 1/2 (* y (PI)))) y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #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 y))) (sin (/ x (+ y y)))) #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))))))))
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Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (/.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))
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(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.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))
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(/.f64 x y)
x
y
#s(literal 1/2 binary64)
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#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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(*.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))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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#s(approx (sin (/ x y)) (/.f64 x y))
#s(approx (sin (/ x y)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) y)) x))
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#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y))
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#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(literal 2 binary64))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 2 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 2 binary64)))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (/.f64 x (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y)) (neg.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (pow.f64 (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) x))
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#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (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(literal 1 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (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(literal 1 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y))) #s(literal -1/6 binary64) (*.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(literal 1 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 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y))) #s(literal -1/6 binary64) (*.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 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#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 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (/.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 (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64)))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (cos.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))
#s(approx (* y 2) (+.f64 y y))
#s(approx (* y 2) (+.f64 y y))
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#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))
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#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 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.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))))
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#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)))
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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 (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)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64) (neg.f64 x)) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64))))) (neg.f64 x)) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/1920 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 1/322560 binary64) (fma.f64 #s(literal 1/7680 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y 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 1/1440 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/1152 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64))))))))) (neg.f64 x)) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) x)) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) y)) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) y)) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) y))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -5/48 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y) x)) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) x)) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y))))))) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) x)) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))) y)) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) y)) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 (neg.f64 x) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))))) y)) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) y)) (/.f64 (neg.f64 x) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal -1/6 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))))) y)) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) y)) (/.f64 (neg.f64 x) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) y)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (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))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.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(literal 1 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)))))

eval45.0ms (1.3%)

Memory
-22.6MiB live, 133.6MiB allocated; 25ms collecting garbage
Compiler

Compiled 6 609 to 1 823 computations (72.4% saved)

prune38.0ms (1.1%)

Memory
12.3MiB live, 107.6MiB allocated; 16ms collecting garbage
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New26420284
Fresh41014
Picked325
Done033
Total27135306
Accuracy
60.5%
Counts
306 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
6.2%
(/.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 y))))
5.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.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 (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
18.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
10.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
19.1%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
35.3%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(approx (+ 1 (cos (/ x y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.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 y))))
41.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
38.1%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (+.f64 y y))))
5.4%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
41.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))) (sin.f64 (/.f64 x (+.f64 y y)))))
41.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
38.2%
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
37.9%
(/.f64 #s(approx (tan (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
30.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (+ y y))) (*.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)))
33.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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)))
34.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
32.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x)))
1.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y))) x)))
40.7%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
29.8%
(/.f64 #s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
43.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 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)))
45.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 (*.f64 y (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -5/48 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 y (/.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 y y))))) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y))))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 y (/.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 y y)))))) x (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)))) x (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
51.2%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
41.6%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
55.5%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
54.8%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
45.9%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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)))))
45.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 729 to 1 360 computations (21.3% saved)

series73.0ms (2%)

Memory
14.8MiB live, 197.5MiB allocated; 33ms collecting garbage
Counts
41 → 178
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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)))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
#s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(sin.f64 (/.f64 x y))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x 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 #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 (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y))
(*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x)
(cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
#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 (/ 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 (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (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 2))) (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 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) 1/2) #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 (* (+ (* -1/48 (/ (* 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 (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 1))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (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 (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (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 (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (/ x y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* x (+ (* -7/24 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 61/1920 (/ (pow x 2) (pow y 5))) (* 7/24 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/322560 (/ 1 (pow y 7))) (* 13/7680 (/ 1 (pow y 7)))))) (* 61/1920 (/ 1 (pow y 5))))) (* 7/24 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) #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)))))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI))))))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -4 (/ (+ (* -1/12 (* (pow x 4) (cos (* 1/2 (PI))))) (* -1/48 (* (pow x 4) (cos (* 1/2 (PI)))))) (* x (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (+ (* -1 (/ (* x (* (cos (* 1/2 (PI))) (- (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI))))))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* -2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (+ y y))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) (* (cos (* (PI) 1/2)) x) (cos (* (PI) 1/2)) (* (PI) 1/2) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y) (pow (+ (sin (* (PI) 1/2)) 1) 2) (+ (sin (* (PI) 1/2)) 1) (sin (* (PI) 1/2)) -2 (/ 2 (+ (sin (* (PI) 1/2)) 1)))
13.0ms
y
@inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (+ y y))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) (* (cos (* (PI) 1/2)) x) (cos (* (PI) 1/2)) (* (PI) 1/2) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y) (pow (+ (sin (* (PI) 1/2)) 1) 2) (+ (sin (* (PI) 1/2)) 1) (sin (* (PI) 1/2)) -2 (/ 2 (+ (sin (* (PI) 1/2)) 1)))
12.0ms
x
@0
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (+ y y))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) (* (cos (* (PI) 1/2)) x) (cos (* (PI) 1/2)) (* (PI) 1/2) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y) (pow (+ (sin (* (PI) 1/2)) 1) 2) (+ (sin (* (PI) 1/2)) 1) (sin (* (PI) 1/2)) -2 (/ 2 (+ (sin (* (PI) 1/2)) 1)))
11.0ms
x
@-inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (+ y y))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) (* (cos (* (PI) 1/2)) x) (cos (* (PI) 1/2)) (* (PI) 1/2) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y) (pow (+ (sin (* (PI) 1/2)) 1) 2) (+ (sin (* (PI) 1/2)) 1) (sin (* (PI) 1/2)) -2 (/ 2 (+ (sin (* (PI) 1/2)) 1)))
7.0ms
x
@inf
((/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (+ y y))) (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/ 1/2 y) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (+ y y)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) (* (cos (* (PI) 1/2)) x) (cos (* (PI) 1/2)) (* (PI) 1/2) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y) (pow (+ (sin (* (PI) 1/2)) 1) 2) (+ (sin (* (PI) 1/2)) 1) (sin (* (PI) 1/2)) -2 (/ 2 (+ (sin (* (PI) 1/2)) 1)))

rewrite237.0ms (6.6%)

Memory
15.9MiB live, 398.3MiB allocated; 136ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143111238
014809901
081499528
Stop Event
iter-limit
node-limit
iter-limit
Counts
219 → 266
Calls
Call 1
Inputs
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(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
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(PI.f64)
#s(literal 2 binary64)
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#s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))
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#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
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#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/322560 (/ (pow x 7) (pow y 6))) (+ (* 1/7680 (/ (pow x 7) (pow y 6))) (+ (* 1/1440 (/ (pow x 7) (pow y 6))) (+ (* 1/1152 (/ (pow x 7) (pow y 6))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* -2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI))))))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -4 (/ (+ (* -1/12 (* (pow x 4) (cos (* 1/2 (PI))))) (* -1/48 (* (pow x 4) (cos (* 1/2 (PI)))))) (* x (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (+ (* -1 (/ (* x (* (cos (* 1/2 (PI))) (- (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI))))))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* -2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
Outputs
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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)
(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 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (neg.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
#s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y))))
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(sin.f64 (/.f64 x y))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y))
(/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (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))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) (PI.f64)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(-.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))))
(/.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))))))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (/.f64 (neg.f64 x) y))
(cos.f64 (/.f64 x y))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y y)))
(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x y))
(*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 x (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)))
(/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x)) (neg.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y))
(*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x)
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 5/384 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))
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#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (+ y y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))
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#s(approx (sin (/ x (+ y y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
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#s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (fma.f64 #s(literal -1/48 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1/2 binary64) y)))
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#s(approx (sin (/ x y)) (/.f64 x y))
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#s(approx (cos (/ x y)) #s(literal 1 binary64))
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#s(approx (/ x (+ y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
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#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) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) (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) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/384 binary64) (*.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)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.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))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.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 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (* (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) 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 (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 x (*.f64 y y))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 x (*.f64 y y))))))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))))))) (+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) x))))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/322560 binary64) (pow.f64 x #s(literal 7 binary64)) (fma.f64 #s(literal 1/7680 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64)))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 x (*.f64 y y)))))))))))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.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))) (/.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 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64))) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64)))))) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/322560 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/7680 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/1440 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/1152 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64)))))))))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/12 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 -1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) (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 (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/40320 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/120 binary64) (*.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)))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))))))) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -5/48 binary64)) (*.f64 x (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (-.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))

eval42.0ms (1.2%)

Memory
-18.6MiB live, 120.2MiB allocated; 16ms collecting garbage
Compiler

Compiled 7 040 to 1 748 computations (75.2% saved)

prune47.0ms (1.3%)

Memory
-4.7MiB live, 138.9MiB allocated; 14ms collecting garbage
Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New22712239
Fresh32225
Picked235
Done055
Total23242274
Accuracy
60.6%
Counts
274 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.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 y))))
3.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
6.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
6.2%
(/.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 y))))
41.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
18.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
10.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
35.3%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(approx (+ 1 (cos (/ x y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.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 y))))
6.3%
(/.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))))
5.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
41.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
38.1%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (+.f64 y y))))
5.4%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
41.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))) (sin.f64 (/.f64 x (+.f64 y y)))))
41.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
38.2%
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
37.9%
(/.f64 #s(approx (tan (/ x (+ y y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
30.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (+ y y))) (*.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)))
33.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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)))
34.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
32.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x)))
1.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y))) x)))
40.7%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
29.6%
(/.f64 #s(approx (sin (/ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
33.1%
(/.f64 #s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) y)))) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
43.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 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)))
45.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 (*.f64 y (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -5/48 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 y (/.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 y y))))) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y))))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 y (/.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 y y)))))) x (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)))) x (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
41.6%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
2.9%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))
53.4%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
55.4%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
6.7%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
55.5%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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)))))))
54.8%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
51.6%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))))
45.9%
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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)))))
45.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 2 066 to 1 254 computations (39.3% saved)

regimes95.0ms (2.7%)

Memory
10.8MiB live, 295.7MiB allocated; 19ms collecting garbage
Counts
65 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y))) x)))
(/.f64 #s(approx (sin (/ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) y)))) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (/.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)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#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 y))) (sin (/ x (+ y y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ 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) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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 y))) (sin (/ x (+ y y)))) (/.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 (tan (/ x (+ y 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (+ y y))) (*.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 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(approx (+ 1 (cos (/ x y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(/.f64 #s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 #s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) y)) (+.f64 #s(literal 1 binary64) (cos.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))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (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 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.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)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (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 y))))
(/.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 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))))
(/.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 (sin.f64 (/.f64 x y)) (/.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 (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.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 y))))
(/.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)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))) (sin.f64 (/.f64 x (+.f64 y y)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (fma.f64 (*.f64 y (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -5/48 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 y (/.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 y y))))) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) y))))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 y (/.f64 (fma.f64 (/.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) y)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 y y)))))) x (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) y)))) x (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
Outputs
(/.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 y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

22.0ms
(*.f64 y #s(literal 2 binary64))
19.0ms
x
17.0ms
y
16.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
15.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
55.5%1(*.f64 y #s(literal 2 binary64))
55.5%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
57.3%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.5%1x
55.5%1y
Compiler

Compiled 21 to 21 computations (0% saved)

regimes23.0ms (0.6%)

Memory
20.8MiB live, 58.3MiB allocated; 10ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y))) x)))
(/.f64 #s(approx (sin (/ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) y)))) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (/.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)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#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 y))) (sin (/ x (+ y y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ 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) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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 y))) (sin (/ x (+ y y)))) (/.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 (tan (/ x (+ y 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (+ y y))) (*.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 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(approx (+ 1 (cos (/ x y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ (* (cos (* (PI) 1/2)) x) (* (pow (+ (sin (* (PI) 1/2)) 1) 2) y)) -2) (/ 2 (+ (sin (* (PI) 1/2)) 1))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(/.f64 #s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 #s(approx (sin (/ x y)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/6 binary64) x) y)) (+.f64 #s(literal 1 binary64) (cos.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))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (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 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.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)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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)))))))
Calls

1 calls:

20.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
55.5%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes70.0ms (2%)

Memory
-30.9MiB live, 126.6MiB allocated; 52ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y))) x)))
(/.f64 #s(approx (sin (/ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) y)))) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (/.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)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#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 y))) (sin (/ x (+ y y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ 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) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.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

5 calls:

32.0ms
(/.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)))))
12.0ms
(*.f64 y #s(literal 2 binary64))
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
56.7%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
55.0%1x
55.0%1(*.f64 y #s(literal 2 binary64))
55.0%1y
55.0%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 21 to 21 computations (0% saved)

regimes10.0ms (0.3%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Accuracy

Total -35.0b remaining (-121.5%)

Threshold costs -35b (-121.5%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (/.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 y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 (*.f64 y y) y))) x)))
(/.f64 #s(approx (sin (/ x y)) (/.f64 (-.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) y)))) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (* (* y y) y))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.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 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (/.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)))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (+ y y))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#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 y))) (sin (/ x (+ y y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 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 y))) (sin (/ x (+ y y)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
4.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
55.0%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.0%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0064253340385867
2.033493132533107
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
22311340176605.242
43255645069606280.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations155.0ms (4.3%)

Memory
-42.3MiB live, 246.7MiB allocated; 19ms collecting garbage
Stop Event
fuel
Compiler

Compiled 75 to 54 computations (28% saved)

preprocess49.0ms (1.4%)

Memory
16.7MiB live, 149.3MiB allocated; 10ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 566 to 446 computations (21.2% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...