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

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze198.0ms (6%)

Memory
6.3MiB live, 466.1MiB allocated; 64ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (42.2%)

Memory
51.6MiB live, 2 992.4MiB allocated; 539ms collecting garbage
Samples
791.0ms4 013×1valid
274.0ms4 243×0valid
Precisions
Click to see histograms. Total time spent on operations: 828.0ms
ival-tan: 323.0ms (39% of total)
ival-sin: 240.0ms (29% of total)
ival-div!: 144.0ms (17.4% of total)
ival-mult!: 64.0ms (7.7% of total)
adjust: 58.0ms (7% of total)
Bogosity

preprocess37.0ms (1.1%)

Memory
11.5MiB live, 57.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02684
18378
230778
392678
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.9%
(/.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)

series23.0ms (0.7%)

Memory
-3.5MiB live, 42.6MiB allocated; 3ms collecting garbage
Counts
8 → 35
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 #s(hole binary64 x))
#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
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))))
5.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))

rewrite265.0ms (8%)

Memory
-5.2MiB live, 280.7MiB allocated; 96ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612164
03681917
123191917
089521817
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
43 → 59
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 #s(hole binary64 x))
#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 x)
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/3840 binary64))) (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (* y 2) (+.f64 y y))
#s(approx y y)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (*.f64 y y) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) (*.f64 (*.f64 y y) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1920 binary64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y)))))))))))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) y))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/768 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))))) y))
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 7 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/16 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 7 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) #s(literal -1/92160 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))))))))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 7 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) x))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1920 binary64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (log.f64 y) #s(literal 6 binary64)))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y)))))))))))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.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)))

eval8.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 314 to 419 computations (68.1% saved)

prune9.0ms (0.3%)

Memory
-27.1MiB live, 18.9MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New431255
Fresh000
Picked101
Done000
Total441256
Accuracy
59.9%
Counts
56 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 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)))))
46.9%
(/.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)))))
47.6%
(/.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)))))
46.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
▶35.3%
(/.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)))
36.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
▶5.8%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶45.8%
#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)))
54.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
▶55.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 382 to 348 computations (8.9% saved)

series64.0ms (1.9%)

Memory
25.8MiB live, 72.2MiB allocated; 3ms collecting garbage
Counts
34 → 84
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 #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)))
(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))
(/.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)
(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 (*.f64 x x) x) (*.f64 y y))
(*.f64 (*.f64 x x) x)
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(+.f64 (/.f64 x (+.f64 y y)) (PI.f64))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(PI.f64)
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)) #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) #s(hole binary64 (/ 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 x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (* x x) x) (* y y)) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* 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 (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 2)))))
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#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
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#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)))
#s(approx (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
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#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)))
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#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI)))))))))
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Calls

6 calls:

TimeVariablePointExpression
30.0ms
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 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (/ (* (* x x) x) (* y y)) (* (* x x) x) -1/48 (* 1/2 x) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (/ x (+ y y)) (+ y y) (PI))
8.0ms
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 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (/ (* (* x x) x) (* y y)) (* (* x x) x) -1/48 (* 1/2 x) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (/ x (+ y y)) (+ y y) (PI))
7.0ms
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 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (/ (* (* x x) x) (* y y)) (* (* x x) x) -1/48 (* 1/2 x) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (/ x (+ y y)) (+ y y) (PI))
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 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (/ (* (* x x) x) (* y y)) (* (* x x) x) -1/48 (* 1/2 x) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (/ x (+ y y)) (+ y y) (PI))
5.0ms
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 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (/ (* (* x x) x) (* y y)) (* (* x x) x) -1/48 (* 1/2 x) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (/ x (+ y y)) (+ y y) (PI))

rewrite203.0ms (6.1%)

Memory
-15.8MiB live, 269.4MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07194958
07583919
147213874
082993695
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
118 → 221
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 #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)))
(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))
(/.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)
(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 (*.f64 x x) x) (*.f64 y y))
(*.f64 (*.f64 x x) x)
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(+.f64 (/.f64 x (+.f64 y y)) (PI.f64))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(PI.f64)
#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))))))))
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#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) #s(hole binary64 (/ 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 x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (* (* x x) x) (* y y)) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
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#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
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#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
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#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 (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
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#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 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 (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 2))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
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#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)))
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#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)))
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#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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(/.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))))))
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(/.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)) (PI))) (*.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)) (PI))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (*.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 #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) 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 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (+.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (+.f64 y y))))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (neg.f64 (cos.f64 (/.f64 x (+.f64 y y)))))
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(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))))
(tan.f64 (/.f64 x (+.f64 y y)))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 y))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
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(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 3 binary64)) #s(literal -1/110592 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 x x) y) (/.f64 x y))
(*.f64 (*.f64 x x) (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) x) y) y)
(/.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal -1/48 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 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 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (+.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (+.f64 y y))))))
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(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y))))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 y y)) (/.f64 x (+.f64 y y))) (*.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (/.f64 x (+.f64 y y)) (/.f64 x (+.f64 y y)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (+.f64 y y)) (PI.f64)))))
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(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
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#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 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 (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64)) #s(literal -1/12 binary64))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/48 binary64))))) (*.f64 (*.f64 (*.f64 y y) y) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y y))))) (*.f64 #s(literal -1/12 binary64) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) x) (*.f64 (*.f64 y y) y)))))) y))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) #s(literal -1/2 binary64)))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y y)))) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) #s(literal -1/2 binary64)))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 y y)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 0 binary64)) #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y y) y))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 (*.f64 y y) x)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (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 x (/.f64 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 y)) (PI))) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 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 y)) (PI))) (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 y)) (PI))) (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 x x) (/.f64 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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 0 binary64) (*.f64 y (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 0 binary64) x))) y))) y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (neg.f64 (fma.f64 (/.f64 y x) #s(literal 0 binary64) (*.f64 y (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/48 binary64))))) x) (*.f64 #s(literal -1/12 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x))) y))) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) x))) y))) y))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) y)) #s(literal 0 binary64)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y)) #s(literal 0 binary64)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/48 binary64))))) y)) (*.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) y))) (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y)) #s(literal 0 binary64)))

eval27.0ms (0.8%)

Memory
17.6MiB live, 62.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 485 to 1 301 computations (62.7% saved)

prune72.0ms (2.2%)

Memory
-10.9MiB live, 36.0MiB allocated; 2ms collecting garbage
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New21614230
Fresh167
Picked325
Done000
Total22022242
Accuracy
60.0%
Counts
242 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 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)))))
46.9%
(/.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)))))
47.6%
(/.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)))))
4.3%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 y y)) (/.f64 x (+.f64 y y))) (*.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1.4%
(/.f64 (tan.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (/.f64 x (+.f64 y y)) (/.f64 x (+.f64 y y)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (+.f64 y y)) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
43.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
5.8%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶6.2%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.9%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶20.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 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)))))))
43.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
36.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))
▶38.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
43.4%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) x #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓45.8%
#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)))
51.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶54.4%
#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)))))
42.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x))) y))
▶2.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
✓55.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 803 to 713 computations (11.2% saved)

series77.0ms (2.3%)

Memory
-7.4MiB live, 95.0MiB allocated; 33ms collecting garbage
Counts
47 → 107
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 0 binary64))
(/.f64 y x)
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)
(fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 x x) (/.f64 x (*.f64 y y)))
(*.f64 x x)
(/.f64 x (*.f64 y y))
(*.f64 y y)
#s(literal 1/48 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 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)))))))
(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 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 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))
(-.f64 (*.f64 y y) (*.f64 y y))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)
(+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (PI.f64) x)
(PI.f64)
(/.f64 #s(literal 1/2 binary64) y)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
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 (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 (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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 x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2))))
#s(approx (* (* x x) (/ x (* y y))) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (PI) x)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (+ (PI) (* 1/2 (/ x y))) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* 1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* 1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 y)) (/ (PI) x))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx y #s(hole binary64 y))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (/ (- (* 1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 3))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 3))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))) #s(hole binary64 (* 2 y)))
#s(approx (+ (* (* y y) y) (* (* y y) y)) #s(hole binary64 (* 2 (pow y 3))))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (/ (* y (PI)) 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 (/ (- (* -1/48 (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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Calls

6 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (* x x) (/ x (* y y)) (* y y) 1/48 (* -1/2 x) -1/2 (/ (tan (/ x (* y 2))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))))) (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))) (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))) (+ (* (* y y) y) (* (* y y) y)) (* (* y y) y) (+ (* y y) (- (* y y) (* y y))) (- (* y y) (* y y)) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
12.0ms
y
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (* x x) (/ x (* y y)) (* y y) 1/48 (* -1/2 x) -1/2 (/ (tan (/ x (* y 2))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))))) (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))) (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))) (+ (* (* y y) y) (* (* y y) y)) (* (* y y) y) (+ (* y y) (- (* y y) (* y y))) (- (* y y) (* y y)) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
8.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (* x x) (/ x (* y y)) (* y y) 1/48 (* -1/2 x) -1/2 (/ (tan (/ x (* y 2))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))))) (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))) (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))) (+ (* (* y y) y) (* (* y y) y)) (* (* y y) y) (+ (* y y) (- (* y y) (* y y))) (- (* y y) (* y y)) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
6.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (* x x) (/ x (* y y)) (* y y) 1/48 (* -1/2 x) -1/2 (/ (tan (/ x (* y 2))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))))) (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))) (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))) (+ (* (* y y) y) (* (* y y) y)) (* (* y y) y) (+ (* y y) (- (* y y) (* y y))) (- (* y y) (* y y)) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
5.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) (* (/ y x) 0) (/ y x) 0 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (* x x) (/ x (* y y)) (* y y) 1/48 (* -1/2 x) -1/2 (/ (tan (/ x (* y 2))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))))) (sin (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))))) (/ x (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y))))) (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))) (+ (* (* y y) y) (* (* y y) y)) (* (* y y) y) (+ (* y y) (- (* y y) (* y y))) (- (* y y) (* y y)) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (* (+ (/ (PI) x) (/ 1/2 y)) x) (+ (/ (PI) x) (/ 1/2 y)) (/ (PI) x) (PI) (/ 1/2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite219.0ms (6.6%)

Memory
-3.7MiB live, 273.9MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08255817
08794560
153454556
080654362
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
154 → 293
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 0 binary64))
(/.f64 y x)
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)
(fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 x x) (/.f64 x (*.f64 y y)))
(*.f64 x x)
(/.f64 x (*.f64 y y))
(*.f64 y y)
#s(literal 1/48 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 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)))))))
(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 x (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))
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(*.f64 (*.f64 y y) y)
(fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))
(-.f64 (*.f64 y y) (*.f64 y y))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)
(+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (PI.f64) x)
(PI.f64)
(/.f64 #s(literal 1/2 binary64) y)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#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 (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 (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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 x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2))))
#s(approx (* (* x x) (/ x (* y y))) #s(hole binary64 (/ (pow x 3) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (sin (PI))) (* x (cos (PI)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x)))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x)))
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#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (PI) x)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (+ (PI) (* 1/2 (/ x y))) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* 1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* 1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (/ 1 y)) (/ (PI) x))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx y #s(hole binary64 y))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (/ (- (* 1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 3))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 3))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (+ (* (* y y) y) (* (* y y) y)) (+ (* y y) (- (* y y) (* y y)))) #s(hole binary64 (* 2 y)))
#s(approx (+ (* (* y y) y) (* (* y y) y)) #s(hole binary64 (* 2 (pow y 3))))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (/ (* y (PI)) 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 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
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#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)))
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#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI)))))))))
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#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI)))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (- (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (/ (sin (PI)) (cos (PI))))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (- (+ (* -1/48 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI))))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* (pow y 3) (pow (cos (PI)) 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))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
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#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
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Outputs
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 y) (neg.f64 x))
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#s(literal 0 binary64)
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(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) #s(literal -1 binary64))
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#s(approx (tan (+ (/ x (+ y y)) (PI))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) y)) #s(literal 0 binary64)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y)) #s(literal 0 binary64)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/48 binary64))))) y)) (*.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) y))) (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y)) #s(literal 0 binary64)))

eval35.0ms (1.1%)

Memory
24.3MiB live, 80.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 928 to 1 827 computations (62.9% saved)

prune62.0ms (1.9%)

Memory
1.0MiB live, 47.8MiB allocated; 3ms collecting garbage
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New26216278
Fresh7815
Picked415
Done022
Total27327300
Accuracy
60.5%
Counts
300 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 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)))))
46.9%
(/.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)))))
47.6%
(/.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)))))
46.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
4.8%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.7%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
36.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))
38.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
39.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 x y) y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
▶38.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) y))))
1.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/48 binary64)))) y))))
1.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) #s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64)))))
35.0%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 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 (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
▶35.8%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.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 (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
✓45.8%
#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)))
51.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
54.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
54.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓54.4%
#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)))))
46.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
▶3.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓55.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
42.1%
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))))
Compiler

Compiled 1 172 to 1 054 computations (10.1% saved)

series96.0ms (2.9%)

Memory
-6.3MiB live, 135.9MiB allocated; 14ms collecting garbage
Counts
54 → 167
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) y))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) y)))
(neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) y))
(/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) y)
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y))
(*.f64 #s(literal 1/48 binary64) (*.f64 x x))
#s(literal 1/48 binary64)
(*.f64 x x)
(*.f64 y y)
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.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 (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (*.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))
(*.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)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
#s(literal 1/24 binary64)
(/.f64 #s(literal 1/2 binary64) y)
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)
(fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 x x) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (neg (* (/ 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 (+ (neg (* (/ 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -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)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (neg (* (/ 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (neg (* (/ x y) 1/2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 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 x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* x (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2))))
#s(approx (- (/ (* 1/48 (* x x)) (* y y)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (* 1/48 (* x x)) (* y y)) 1/2) #s(hole binary64 (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2)))
#s(approx (/ (* 1/48 (* x x)) (* y y)) #s(hole binary64 (* 1/48 (/ (pow x 2) (pow y 2)))))
#s(approx (* 1/48 (* x x)) #s(hole binary64 (* 1/48 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (PI)) (cos (PI)))))
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#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
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#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
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#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 (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* 1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* 1/48 (/ (pow x 3) (pow y 2)))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (/ (* 1/48 (* x x)) (* y y)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/48 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3)))))
#s(approx (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) #s(hole binary64 (* 1/24 (/ (pow x 2) (pow y 3)))))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (sin (/ x y)))))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (/ (- (* 1/2 (* y (PI))) (* 1/2 x)) y)))
#s(approx y #s(hole binary64 y))
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#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 3))))
#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* 1/48 (pow x 3))) (pow y 2))))
#s(approx (- (/ (* 1/48 (* x x)) (* y y)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow y 2)) (* 1/48 (pow x 2))) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
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#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))
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#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI)))))))))
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Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (- (/ (* 1/48 (* x x)) (* y y)) 1/2) x) (- (/ (* 1/48 (* x x)) (* y y)) 1/2) (/ (* 1/48 (* x x)) (* y y)) (* 1/48 (* x x)) 1/48 (* x x) (* y y) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/ (* x x) (* (* y y) y)) (* (* y y) y) 1/24 (/ 1/2 y) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (/ x (* y y)) (* -1/2 x) -1/2 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
17.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (- (/ (* 1/48 (* x x)) (* y y)) 1/2) x) (- (/ (* 1/48 (* x x)) (* y y)) 1/2) (/ (* 1/48 (* x x)) (* y y)) (* 1/48 (* x x)) 1/48 (* x x) (* y y) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/ (* x x) (* (* y y) y)) (* (* y y) y) 1/24 (/ 1/2 y) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (/ x (* y y)) (* -1/2 x) -1/2 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
15.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (- (/ (* 1/48 (* x x)) (* y y)) 1/2) x) (- (/ (* 1/48 (* x x)) (* y y)) 1/2) (/ (* 1/48 (* x x)) (* y y)) (* 1/48 (* x x)) 1/48 (* x x) (* y y) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/ (* x x) (* (* y y) y)) (* (* y y) y) 1/24 (/ 1/2 y) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (/ x (* y y)) (* -1/2 x) -1/2 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
9.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (- (/ (* 1/48 (* x x)) (* y y)) 1/2) x) (- (/ (* 1/48 (* x x)) (* y y)) 1/2) (/ (* 1/48 (* x x)) (* y y)) (* 1/48 (* x x)) 1/48 (* x x) (* y y) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/ (* x x) (* (* y y) y)) (* (* y y) y) 1/24 (/ 1/2 y) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (/ x (* y y)) (* -1/2 x) -1/2 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
9.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (* (/ y x) 0) 2) 0 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (- (/ (* 1/48 (* x x)) (* y y)) 1/2) x) (- (/ (* 1/48 (* x x)) (* y y)) 1/2) (/ (* 1/48 (* x x)) (* y y)) (* 1/48 (* x x)) 1/48 (* x x) (* y y) (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (tan (+ (/ x (+ y y)) (PI))) (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/ (* x x) (* (* y y) y)) (* (* y y) y) 1/24 (/ 1/2 y) (sin (/ x (* y 2))) (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (* (* x x) (/ x (* y y))) (/ x (* y y)) (* -1/2 x) -1/2 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite229.0ms (6.9%)

Memory
-20.8MiB live, 365.2MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013179182
013837530
085897216
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
221 → 344
Calls
Call 1
Inputs
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(/.f64 x y)
x
y
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(PI.f64)
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#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) #s(hole binary64 (* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI))))))
#s(approx (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* -1/24 (/ (pow x 2) (pow y 2))) 1/2) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (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))))
(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)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(fma.f64 (neg.f64 (/.f64 x y)) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.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 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (neg.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)
(neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (neg.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 #s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) (neg.f64 y)))))
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#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) (neg.f64 y)))
(/.f64 (neg.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x))) y)
(/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) (neg.f64 y))
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(/.f64 (neg.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x))) (neg.f64 y))
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#s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x)
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/48 binary64))
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(/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 y y))
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(*.f64 (*.f64 x x) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (*.f64 x x))
#s(literal 1/48 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
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#s(approx y y)
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#s(approx (* (* y y) y) (*.f64 (*.f64 y y) y))
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#s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y))) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y)) #s(literal 1/24 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)))) y)) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (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 1/8 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 1/2 binary64))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) 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 1/48 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/645120 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.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 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/92160 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.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))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/645120 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))
#s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)))
#s(approx (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 0 binary64) x))) y))) y))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 0 binary64)) #s(literal -1/48 binary64))))) x) (*.f64 #s(literal -1/12 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) x))) y))) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) x))) y))) y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) y)) #s(literal 0 binary64)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) y))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y)) #s(literal 0 binary64)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) (*.f64 x x)) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 0 binary64)) #s(literal -1/48 binary64))))) y)) (*.f64 (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) y))) (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) y)) #s(literal 0 binary64)))
#s(approx (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/40320 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/10080 binary64) (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) (*.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 1/120 binary64)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/5040 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))

eval42.0ms (1.3%)

Memory
26.5MiB live, 117.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 627 to 2 331 computations (64.8% saved)

prune84.0ms (2.5%)

Memory
-22.2MiB live, 76.1MiB allocated; 7ms collecting garbage
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New30419323
Fresh51419
Picked415
Done033
Total31337350
Accuracy
60.6%
Counts
350 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.5%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
6.0%
(/.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)))))
46.9%
(/.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)))))
47.6%
(/.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)))))
6.0%
(/.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 #s(literal 2 binary64)))))
5.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
46.9%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
4.8%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.7%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
36.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))
1.2%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))) y))))
40.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) y) y) #s(literal 1/2 binary64)) x)) y))))
40.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1/2 binary64)) x)) y))))
1.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/48 binary64)))) y))))
1.1%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) #s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64)))))
38.1%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
32.6%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.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 (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))))
2.0%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 y y) y))) x)) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
38.4%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
42.1%
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))))
✓45.8%
#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)))
51.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
54.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
54.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
54.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
53.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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)))))))
52.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.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)))))))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
✓54.4%
#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)))))
46.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
51.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓3.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
✓55.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 729 to 1 238 computations (28.4% saved)

regimes125.0ms (3.8%)

Memory
26.1MiB live, 158.8MiB allocated; 11ms collecting garbage
Accuracy

Total -35.4b remaining (-123.9%)

Threshold costs -35.4b (-123.9%)

Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (* (* (/ y x) 0) 2) #s(literal 0 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) #s(approx (neg (/ (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) y)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/48 binary64)))) y))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) x))) y))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #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 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (*.f64 x x) y)) #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 2))) (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) (/ x (* y y))) 1/48) (* -1/2 x)) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) y) y) #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 2))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 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 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 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 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 x 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 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y)))))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 y y) y))) x)) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.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 (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.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 (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))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) y) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) y))) x #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (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 #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)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 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 (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 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))) (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 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (+.f64 y y)) (/.f64 x (+.f64 y y))) (*.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #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 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.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)))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (/.f64 x (+.f64 y y)) (/.f64 x (+.f64 y y)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (+.f64 y y)) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (+.f64 (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 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

43.0ms
x
31.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
18.0ms
(*.f64 y #s(literal 2 binary64))
15.0ms
y
13.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
55.4%1(*.f64 y #s(literal 2 binary64))
55.4%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
55.4%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.4%1x
55.4%1y
Compiler

Compiled 21 to 21 computations (0% saved)

derivations27.0ms (0.8%)

Memory
-33.5MiB live, 22.5MiB allocated; 6ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 12 to 10 computations (16.7% saved)

preprocess10.0ms (0.3%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 71 to 58 computations (18.3% saved)

end0.0ms (0%)

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

Profiling

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