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

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze272.0ms (7.4%)

Memory
-33.9MiB live, 391.2MiB allocated; 160ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (38.2%)

Memory
28.8MiB live, 1 814.2MiB allocated; 316ms collecting garbage
Samples
830.0ms4 045×1valid
326.0ms4 211×0valid
Precisions
Click to see histograms. Total time spent on operations: 928.0ms
ival-div!: 323.0ms (34.8% of total)
ival-tan: 250.0ms (26.9% of total)
ival-sin: 193.0ms (20.8% of total)
ival-mult!: 91.0ms (9.8% of total)
adjust: 72.0ms (7.8% of total)
Bogosity

preprocess33.0ms (0.9%)

Memory
-15.9MiB live, 28.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02684
18378
230778
392778
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series18.0ms (0.5%)

Memory
39.0MiB live, 39.0MiB allocated; 0ms 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
5.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
y
@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))))

rewrite213.0ms (5.8%)

Memory
-5.5MiB live, 270.5MiB allocated; 90ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612164
03681917
123191917
089431817
Stop Event
iter-limit
node-limit
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
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 314 to 419 computations (68.1% saved)

prune11.0ms (0.3%)

Memory
-27.7MiB live, 17.4MiB allocated; 6ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New441155
Fresh000
Picked101
Done000
Total451156
Accuracy
60.2%
Counts
56 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.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)))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.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)))))
40.7%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
27.6%
(/.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)))
6.9%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
36.7%
(/.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)))))
55.1%
#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)))))
55.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 334 to 300 computations (10.2% saved)

series83.0ms (2.2%)

Memory
-4.6MiB live, 134.2MiB allocated; 37ms collecting garbage
Counts
36 → 126
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)))) (/.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))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (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))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (/.f64 (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)
(*.f64 x x)
(*.f64 y y)
#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)
(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 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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)) #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 (* x x) #s(hole binary64 (pow x 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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
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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 (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (cos (/ x y))))))
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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 y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (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)))))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Calls

6 calls:

TimeVariablePointExpression
20.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 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) (* x x) (* y y) -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) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
17.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 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) (* x x) (* y y) -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) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
11.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 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) (* x x) (* y y) -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) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
11.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 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) (* x x) (* y y) -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) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))
7.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 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) (* x x) (* y y) -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) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)))

rewrite232.0ms (6.3%)

Memory
36.2MiB live, 267.4MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011097410
011545959
176455955
080135666
Stop Event
iter-limit
node-limit
iter-limit
Counts
162 → 263
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)))) (/.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))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (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))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
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(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)
(*.f64 x x)
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#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)
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(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
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#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
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#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
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#s(approx (sin (/ x (* y 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))))))
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#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
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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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
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#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (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 (/ (+ (* (/ (* (* 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)))))
#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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (cos (/ x y))))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (/ (+ (* (/ (* (* x x) 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 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))))
#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 (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (/ x (+ y y)) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) 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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#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)))))))
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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)))
#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 (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) #s(hole binary64 (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))))
#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)))))))))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(hole binary64 (* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 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 (pow y 3)))) (+ (* 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))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))))))))
#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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* -1/24 (/ (pow x 2) (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* 1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/96 (/ (pow x 4) (pow y 4))) (+ (* 1/48 (/ (pow x 4) (pow y 4))) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 4)))))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/1152 (/ (pow x 6) (pow y 6))) (+ (* -1/1440 (/ (pow x 6) (pow y 6))) (+ (* -1/7680 (/ (pow x 6) (pow y 6))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/96 (/ (pow x 4) (pow y 4))) (+ (* 1/48 (/ (pow x 4) (pow y 4))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 4))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* 1/1920 (pow x 4)) (+ (* 1/96 (pow x 4)) (+ (* 1/48 (pow x 4)) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) x)))))) (* x (pow y 6))) (/ (* (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (- (* -1/6 (pow x 2)) (+ (* -1/4 (pow x 2)) (* -1/24 (pow x 2))))) (* x (pow y 6)))))))))))))))))
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#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))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.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))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.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 (+.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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(literal 0 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (/.f64 x (+.f64 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 (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)
#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)
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y))) (*.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)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/48 binary64)) (*.f64 y y)) (-.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))
(*.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 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))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
#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 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (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 (+.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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(literal 0 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (/.f64 x (+.f64 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 (pow.f64 (/.f64 x (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (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)))))
(+.f64 (PI.f64) (/.f64 x (+.f64 y y)))
(+.f64 (/.f64 x (+.f64 y y)) (PI.f64))
(/.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)
(PI.f64)
(sin.f64 (/.f64 x (+.f64 y y)))
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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)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/120 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/5040 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)))) (+.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/322560 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7680 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))))))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y))) y)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y))))) y)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) (fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x))))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/2880 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #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)))

eval33.0ms (0.9%)

Memory
-28.4MiB live, 75.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 4 598 to 1 528 computations (66.8% saved)

prune37.0ms (1%)

Memory
-3.4MiB live, 42.4MiB allocated; 5ms collecting garbage
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New21015225
Fresh066
Picked325
Done000
Total21323236
Accuracy
60.7%
Counts
236 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.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)))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
40.7%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
37.0%
(/.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)))
2.8%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (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)))))))
7.1%
(/.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)))))
2.7%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
36.7%
(/.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)))))
27.3%
(/.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))) (/.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)))
24.4%
(/.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))) (/.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)))
44.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
2.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
55.1%
#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)))))))
54.7%
#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) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
45.6%
#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)))))
55.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 873 to 785 computations (10.1% saved)

series95.0ms (2.6%)

Memory
21.9MiB live, 112.5MiB allocated; 8ms collecting garbage
Counts
54 → 140
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(literal 1 binary64)
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 y x) #s(literal 0 binary64))
(/.f64 y x)
#s(literal 0 binary64)
(/.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))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (tan (+ (/ x (+ y y)) (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 x x)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
#s(literal 1/24 binary64)
(/.f64 #s(literal 1/2 binary64) 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))
(/.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 #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)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(cos.f64 (/.f64 x (+.f64 y y)))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 4))))))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow x 2) (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* (pow x 2) (+ (* -1/46080 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 6))) (* 1/384 (/ (sin (* 1/2 (PI))) (pow y 4))))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (* (/ y x) 0) 2) #s(hole binary64 0))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#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 x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) #s(hole binary64 (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
#s(approx (/ (* x x) (* (* y y) y)) #s(hole binary64 (/ (pow x 2) (pow y 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ (* (* 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 (+ (/ 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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (/ 1 (+ (* (cos (* 1/2 (PI))) (sin (* 1/2 (/ x y)))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (* 1/2 (/ x y)))) (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI)))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 (/ x y))) (sin (* 1/2 (PI))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (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 (/ (+ (* (/ (* (* 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)))))
#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 (+ (/ 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 (/ 1 y)) (/ (PI) x))))
#s(approx (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#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) 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 (+ (/ 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 (* (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* 1/24 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/24 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (/ (+ (* (/ (* (* 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))))
#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)))
#s(approx (+ (/ (PI) x) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (/ (* y (PI)) x)) y)))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -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)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))))
#s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) #s(hole binary64 (- (+ (* -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)))))))) (sin (* 1/2 (PI))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))) (+ (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (* 1/2 (PI)))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))))
#s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
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Calls

6 calls:

TimeVariablePointExpression
37.0ms
x
@-inf
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22.0ms
y
@-inf
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8.0ms
x
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7.0ms
y
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7.0ms
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rewrite323.0ms (8.8%)

Memory
-28.2MiB live, 251.9MiB allocated; 122ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012028659
012746735
179856735
080516454
Stop Event
iter-limit
node-limit
iter-limit
Counts
194 → 324
Calls
Call 1
Inputs
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#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))))))
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Outputs
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#s(literal 1 binary64)
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#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
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#s(approx (/ y x) (/.f64 y x))
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#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
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#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))
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#s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 (PI.f64) x))
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#s(approx (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
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#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) (/.f64 (tan.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
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#s(approx y y)
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#s(approx (* (* y y) y) (*.f64 (*.f64 y y) y))
#s(approx (* y y) (*.f64 y y))
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#s(approx (* y 2) (+.f64 y y))
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#s(approx (sin (* (/ x y) 1/2)) (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 (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x)))))
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/120 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x))))))
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/5040 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)))) (+.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/322560 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7680 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))))))
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (*.f64 (*.f64 x x) x) #s(literal 1/16 binary64)) (*.f64 y y))) y)))
#s(approx (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (*.f64 (*.f64 x x) x) #s(literal 1/16 binary64)) (*.f64 y y))))) y)))
#s(approx (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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 (*.f64 (*.f64 x x) x) #s(literal 1/16 binary64)) (*.f64 y y)))))))) y)))

eval50.0ms (1.4%)

Memory
3.8MiB live, 94.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 159 to 1 995 computations (67.6% saved)

prune47.0ms (1.3%)

Memory
-3.3MiB live, 95.8MiB allocated; 9ms collecting garbage
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New25821279
Fresh21416
Picked505
Done022
Total26537302
Accuracy
60.7%
Counts
302 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.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)))))
6.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
40.7%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
37.0%
(/.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)))
2.8%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (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)))))))
5.3%
(/.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)))))
4.5%
(/.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)))))
2.9%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (*.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)))))
7.1%
(/.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 y))))
3.0%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 (PI.f64) x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.7%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
41.4%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
24.5%
(/.f64 #s(approx (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 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)))
36.7%
(/.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)))))
24.4%
(/.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))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
28.3%
(/.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))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) y)))
0.8%
(/.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))) #s(approx (/ (+ (* (/ (* (* 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)))))
24.4%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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)))
27.2%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #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)))
1.5%
(/.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))) (/.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)))
27.7%
(/.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))) (/.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)))
27.2%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #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))) x)) #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)))
44.0%
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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)))))
3.1%
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
54.7%
#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) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
51.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
45.6%
#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)))))
50.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
55.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 895 to 1 659 computations (12.5% saved)

series87.0ms (2.4%)

Memory
-18.4MiB live, 116.1MiB allocated; 21ms collecting garbage
Counts
50 → 153
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64))
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 3 binary64)
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x))
(*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
#s(literal 1/24 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 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (+ (pow (* (sin (* (/ x y) 1/2)) 0) 3) (pow (* (cos (* (/ x y) 1/2)) 1) 3)) (+ (* (* (sin (* (/ x y) 1/2)) 0) (* (sin (* (/ x y) 1/2)) 0)) (- (* (* (cos (* (/ x y) 1/2)) 1) (* (cos (* (/ x y) 1/2)) 1)) (* (* (sin (* (/ x y) 1/2)) 0) (* (cos (* (/ x y) 1/2)) 1))))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (+ (pow (* (sin (* (/ x y) 1/2)) 0) 3) (pow (* (cos (* (/ x y) 1/2)) 1) 3)) (+ (* (* (sin (* (/ x y) 1/2)) 0) (* (sin (* (/ x y) 1/2)) 0)) (- (* (* (cos (* (/ x y) 1/2)) 1) (* (cos (* (/ x y) 1/2)) 1)) (* (* (sin (* (/ x y) 1/2)) 0) (* (cos (* (/ x y) 1/2)) 1))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (+ (pow (* (sin (* (/ x y) 1/2)) 0) 3) (pow (* (cos (* (/ x y) 1/2)) 1) 3)) (+ (* (* (sin (* (/ x y) 1/2)) 0) (* (sin (* (/ x y) 1/2)) 0)) (- (* (* (cos (* (/ x y) 1/2)) 1) (* (cos (* (/ x y) 1/2)) 1)) (* (* (sin (* (/ x y) 1/2)) 0) (* (cos (* (/ x y) 1/2)) 1))))) #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 (+ (pow (* (sin (* (/ x y) 1/2)) 0) 3) (pow (* (cos (* (/ x y) 1/2)) 1) 3)) #s(hole binary64 (+ 1 (* -3/8 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (pow (* (sin (* (/ x y) 1/2)) 0) 3) (pow (* (cos (* (/ x y) 1/2)) 1) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 7/128 (/ (pow x 2) (pow y 4))) (* 3/8 (/ 1 (pow y 2))))))))
#s(approx (+ (pow (* (sin (* (/ x y) 1/2)) 0) 3) (pow (* (cos (* (/ x y) 1/2)) 1) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -61/15360 (/ (pow x 2) (pow y 6))) (* 7/128 (/ 1 (pow y 4))))) (* 3/8 (/ 1 (pow y 2))))))))
#s(approx (pow (* (sin (* (/ x y) 1/2)) 0) 3) #s(hole binary64 0))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (* (/ x y) 1/2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (sin (* (/ x y) 1/2)) 0) (* (sin (* (/ x y) 1/2)) 0)) (- (* (* (cos (* (/ x y) 1/2)) 1) (* (cos (* (/ x y) 1/2)) 1)) (* (* (sin (* (/ x y) 1/2)) 0) (* (cos (* (/ x y) 1/2)) 1)))) #s(hole binary64 (+ 1 (* -1/4 (/ (pow x 2) (pow y 2))))))
#s(approx (+ (* (* (sin (* (/ x y) 1/2)) 0) (* (sin (* (/ x y) 1/2)) 0)) (- (* (* (cos (* (/ x y) 1/2)) 1) (* (cos (* (/ x y) 1/2)) 1)) (* (* (sin (* (/ x y) 1/2)) 0) (* (cos (* (/ x y) 1/2)) 1)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))))))
#s(approx (+ (* (* (sin (* (/ x y) 1/2)) 0) (* (sin (* (/ x y) 1/2)) 0)) (- (* (* (cos (* (/ x y) 1/2)) 1) (* (cos (* (/ x y) 1/2)) 1)) (* (* (sin (* (/ x y) 1/2)) 0) (* (cos (* (/ x y) 1/2)) 1)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (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))))))
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#s(approx y #s(hole binary64 y))
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Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@0
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15.0ms
x
@-inf
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7.0ms
x
@inf
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6.0ms
y
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rewrite232.0ms (6.3%)

Memory
22.5MiB live, 264.3MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012659831
013337347
084477041
Stop Event
iter-limit
node-limit
iter-limit
Counts
203 → 319
Calls
Call 1
Inputs
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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)))))
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#s(approx y #s(hole binary64 y))
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#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
#s(literal 1 binary64)
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))) (/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
(*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))))))
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal 0 binary64)
#s(literal 3 binary64)
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (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 2 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (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))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
(fma.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (fabs.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(-.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (fabs.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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 2 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))
#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
(/.f64 (neg.f64 #s(approx (tan (/ x (+ y y))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x))) (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 #s(approx (tan (/ x (+ y y))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #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)))
#s(approx (tan (/ x (+ y y))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x))
(*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)
(*.f64 x #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) y) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(literal 1/24 binary64)
#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))
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#s(approx (/ (tan (+ (/ x (+ y y)) (PI))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/5040 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/120 binary64))))) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x)))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/120 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) x)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) x))) (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/322560 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7680 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 (*.f64 y y) x)))))))))
#s(approx (tan (/ x (+ y y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y))) y)))
#s(approx (tan (/ x (+ y y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y))))) y)))
#s(approx (tan (/ x (+ y y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/10080 binary64) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/96 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/2880 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.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)))

eval73.0ms (2%)

Memory
-7.3MiB live, 82.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 494 to 2 257 computations (69.9% saved)

prune57.0ms (1.6%)

Memory
-6.4MiB live, 87.7MiB allocated; 21ms collecting garbage
Pruning

42 alts after pruning (37 fresh and 5 done)

PrunedKeptTotal
New26813281
Fresh62430
Picked235
Done022
Total27642318
Accuracy
60.7%
Counts
318 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.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)))))
6.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (+.f64 y y))))
40.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (+.f64 y y))))
41.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
40.7%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
37.0%
(/.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)))
2.8%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (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)))))))
5.3%
(/.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)))))
4.5%
(/.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)))))
2.9%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (*.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)))))
7.1%
(/.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 y))))
3.0%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 #s(approx (+ (/ (PI) x) (/ 1/2 y)) (/.f64 (PI.f64) x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.7%
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.4%
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
41.4%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
24.5%
(/.f64 #s(approx (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 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)))
36.7%
(/.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)))))
28.3%
(/.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))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) y)))
24.4%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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)))
27.2%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
0.9%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.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)))
31.1%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x (/.f64 x (*.f64 y y))))) x)) y)))
0.8%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) #s(approx (/ (+ (* (/ (* (* 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)))))
1.7%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))) y)) x)) #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)))
27.7%
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) #s(literal 1/2 binary64)) y)) x)) #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)))
44.0%
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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)))))
3.1%
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))))
55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))))))
54.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (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))))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 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) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))))
54.7%
#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) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
51.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
45.6%
#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)))))
55.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
50.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
55.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 2 108 to 1 407 computations (33.3% saved)

regimes122.0ms (3.3%)

Memory
28.5MiB live, 157.8MiB allocated; 32ms collecting garbage
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
(/.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))) (/.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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) #s(approx (/ (+ (* (/ (* (* 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 y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.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)))
(/.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))) #s(approx (/ (+ (* (/ (* (* 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 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))) (/.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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x (/.f64 x (*.f64 y y))))) x)) y)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (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))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) y)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #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 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #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))) x)) #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 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 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 (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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.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) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.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))) (/.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 (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 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #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 (PI.f64) x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.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 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)))))
(/.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 x (+.f64 y y)) (PI.f64))) (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)) (*.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 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.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 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) (fma.f64 (/.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)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (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))))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (sin.f64 (fma.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) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

35.0ms
x
30.0ms
y
26.0ms
(*.f64 y #s(literal 2 binary64))
14.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
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
57.0%2(*.f64 y #s(literal 2 binary64))
57.0%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
55.2%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.2%1x
57.0%2y
Compiler

Compiled 21 to 21 computations (0% saved)

regimes36.0ms (1%)

Memory
-20.3MiB live, 31.3MiB allocated; 23ms collecting garbage
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
(/.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))) (/.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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) #s(approx (/ (+ (* (/ (* (* 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 y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.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)))
(/.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))) #s(approx (/ (+ (* (/ (* (* 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 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))) (/.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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x (/.f64 x (*.f64 y y))))) x)) y)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (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))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) y)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #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 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #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))) x)) #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 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 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 (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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.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) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.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))) (/.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 (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 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #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 (PI.f64) x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.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 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)))))
(/.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 x (+.f64 y y)) (PI.f64))) (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)) (*.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 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.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 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) (fma.f64 (/.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)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))))))
(/.f64 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) x) (/.f64 (PI.f64) x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (-.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

13.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.0%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes15.0ms (0.4%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (/.f64 y x) #s(literal 0 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.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 (/ (/ (sin (/ x (+ y y))) (cos (/ x (+ y 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)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 x))) y))
(/.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))) (/.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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) #s(approx (/ (+ (* (/ (* (* 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 y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.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)))
(/.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))) #s(approx (/ (+ (* (/ (* (* 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 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))) (/.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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x (/.f64 x (*.f64 y y))))) x)) y)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 #s(approx (+ (* (/ (* x x) (* y y)) 1/24) 1/2) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (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))) (/.f64 #s(approx (+ (* (/ (* (* x x) x) (* y y)) -1/48) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) y)))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #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 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(approx (tan (+ (/ x (+ y y)) (PI))) (*.f64 #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))) x)) #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 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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 (/ (sin (/ x (+ y y))) (cos (/ x (+ y y)))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 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 (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 #s(approx (+ (* (/ (* x x) (* (* y y) y)) 1/24) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.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) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #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 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.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))) (/.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 (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 (tan.f64 #s(approx (+ (/ x (+ y y)) (PI)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #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 (PI.f64) x)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2)))) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.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 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)))))
(/.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 x (+.f64 y y)) (PI.f64))) (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)) (*.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 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.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 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (+ (* (sin (* (/ x y) 1/2)) (cos (/ (PI) 2))) (* (cos (* (/ x y) 1/2)) (sin (/ (PI) 2))))) (fma.f64 (/.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)))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

12.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.0%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.3%)

Memory
-31.2MiB live, 17.8MiB allocated; 4ms collecting garbage
Accuracy

Total -34.3b remaining (-119.7%)

Threshold costs -34.3b (-119.7%)

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

3 calls:

3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
y
2.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.2%1(*.f64 y #s(literal 2 binary64))
55.2%1y
55.2%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.776303749859824e+50
1.567590024237019e+51
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.776303749859824e+50
1.567590024237019e+51
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.776303749859824e+50
1.567590024237019e+51
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations136.0ms (3.7%)

Memory
7.2MiB live, 143.2MiB allocated; 22ms collecting garbage
Stop Event
fuel
Compiler

Compiled 98 to 47 computations (52% saved)

preprocess47.0ms (1.3%)

Memory
38.4MiB live, 130.5MiB allocated; 7ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 741 to 451 computations (39.1% saved)

end0.0ms (0%)

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

Profiling

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