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

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze216.0ms (6%)

Memory
3.3MiB live, 340.8MiB allocated; 54ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.5s (41.5%)

Memory
20.9MiB live, 2 188.6MiB allocated; 316ms collecting garbage
Samples
837.0ms4 067×1valid
308.0ms4 189×0valid
Precisions
Click to see histograms. Total time spent on operations: 839.0ms
ival-sin: 310.0ms (36.9% of total)
ival-tan: 240.0ms (28.6% of total)
ival-div!: 129.0ms (15.4% of total)
adjust: 113.0ms (13.5% of total)
ival-mult!: 48.0ms (5.7% of total)
Bogosity

preprocess45.0ms (1.2%)

Memory
-10.9MiB live, 42.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02684
15880
214878
332378
476578
5300378
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.5%
(/.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)

series22.0ms (0.6%)

Memory
7.5MiB live, 50.8MiB allocated; 6ms collecting garbage
Counts
8 → 37
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
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))))
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))))
2.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))

rewrite274.0ms (7.6%)

Memory
12.8MiB live, 321.6MiB allocated; 92ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval49.0ms (1.4%)

Memory
-34.5MiB live, 18.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 292 to 416 computations (67.8% saved)

prune8.0ms (0.2%)

Memory
30.9MiB live, 31.0MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New481462
Fresh000
Picked101
Done000
Total491463
Accuracy
63.7%
Counts
63 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.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)))))
8.2%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.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)))))
▶45.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.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)))))
▶45.5%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
30.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
32.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
▶41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
8.2%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.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)))))
48.3%
#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)))
▶59.2%
#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)))))
▶58.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 440 to 402 computations (8.6% saved)

series39.0ms (1.1%)

Memory
8.3MiB live, 99.4MiB allocated; 9ms collecting garbage
Counts
27 → 135
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(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 (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
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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 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
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#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
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#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
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#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
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Calls

6 calls:

TimeVariablePointExpression
10.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (* y 2))))
6.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (* y 2))))
6.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (* y 2))))
6.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (* y 2))))
3.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x (* y 2))))

rewrite197.0ms (5.5%)

Memory
4.4MiB live, 291.8MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08387416
08726456
154326456
081496131
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
162 → 225
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
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(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
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(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
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#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
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#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))))))
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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))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
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#s(approx (tan (/ x (+ y y))) #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 y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#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) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (tan.f64 (/.f64 x (+.f64 y y)))) (neg.f64 #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (+.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #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)))))
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(/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
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(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (+.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 y y) y)) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
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(sin.f64 (/.f64 x (+.f64 y y)))
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(/.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 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
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(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (+.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(tan.f64 (/.f64 x (+.f64 y y)))
(sin.f64 (/.f64 x y))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
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(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 (/.f64 x y))))
(cos.f64 (neg.f64 (/.f64 x y)))
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(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 x (+.f64 y y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ 1 (cos (* (/ x y) 1/2))) #s(literal 1 binary64))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) (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 (/ 1 (cos (* (/ x y) 1/2))) (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 (cos (* (/ x y) 1/2)) #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 (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (/ x y) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
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#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (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)) (+ 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 (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (*.f64 y y))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.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 (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) 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 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/5040 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) (neg.f64 x)) y)))

eval21.0ms (0.6%)

Memory
-6.9MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 349 to 1 024 computations (69.4% saved)

prune76.0ms (2.1%)

Memory
-14.6MiB live, 32.4MiB allocated; 2ms collecting garbage
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New15214166
Fresh369
Picked235
Done000
Total15723180
Accuracy
64.2%
Counts
180 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.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)))))
8.2%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.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)))))
7.5%
(/.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)))))
45.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶45.0%
(/.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)))))
45.1%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
45.2%
(/.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)))))
✓45.5%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
8.2%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶45.5%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
32.2%
(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
▶41.0%
(/.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)))))
▶48.3%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
59.2%
#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)))))))
▶59.3%
#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))))))
58.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓59.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
43.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
48.7%
#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)))))
56.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
✓58.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 840 to 744 computations (11.4% saved)

series100.0ms (2.8%)

Memory
-5.7MiB live, 132.9MiB allocated; 32ms collecting garbage
Counts
37 → 192
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
#s(literal 1/8 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(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 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
(sin.f64 (/.f64 x y))
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(cos.f64 (/.f64 x y))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
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) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
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Calls

6 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
22.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
8.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
8.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))
6.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (* (/ x y) 1/2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (+ (cos (/ x y)) 1) (cos (/ x y)) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)))

rewrite249.0ms (6.9%)

Memory
33.1MiB live, 359.2MiB allocated; 108ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136211282
014149820
081469484
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
229 → 287
Calls
Call 1
Inputs
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(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
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(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
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#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
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#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
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#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/322560 (/ 1 (pow y 7))) (* 13/7680 (/ 1 (pow y 7)))))) (* 61/1920 (/ 1 (pow y 5))))) (* 7/24 (/ 1 (pow y 3))))) (/ 1 y)))))
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#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
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#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (* 1/2 (PI))))))
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#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
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#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (sin (+ (* 1/2 (PI)) (/ x y)))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (+ (* 1/2 (PI)) (/ x y))))))
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#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y))))))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))))))
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#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (/ (+ x (* 1/2 (* y (PI)))) y)))
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#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 (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #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)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #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)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) #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)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))) y))))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/48 (/ (pow x 5) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* -1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/322560 (/ (pow x 7) (pow y 6))) (+ (* 1/7680 (/ (pow x 7) (pow y 6))) (+ (* 1/1440 (/ (pow x 7) (pow y 6))) (+ (* 1/1152 (/ (pow x 7) (pow y 6))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/4 (/ (pow x 3) (pow y 2)))))))))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* -2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI))))))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -4 (/ (+ (* -1/12 (* (pow x 4) (cos (* 1/2 (PI))))) (* -1/48 (* (pow x 4) (cos (* 1/2 (PI)))))) (* x (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (+ (* -1 (/ (* x (* (cos (* 1/2 (PI))) (- (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI))))))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* -2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (+ 1 (sin (* 1/2 (PI)))))) (/ (* (pow x 2) (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (+ 1 (sin (* 1/2 (PI)))))) (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (+ (* 1/2 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) y)) (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) y))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (+ 1 (sin (* 1/2 (PI)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos (* 1/2 (PI))) (- (* 1/6 (/ (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (+ (* 1/2 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (+ (* -1/6 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (+ (* 1/6 (/ (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/2 (/ (* (pow x 4) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 3))))))) (+ (* 1/2 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) y)) (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) y))) y))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y))) y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y))) y)))))
Outputs
#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))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) #s(literal 1 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 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(literal 1/8 binary64)
(/.f64 (neg.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y #s(literal 2 binary64))))
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(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y))))
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(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
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(cos.f64 (/.f64 (neg.f64 x) y))
(cos.f64 (/.f64 x y))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y y)))
(/.f64 x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
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(/.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)
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(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
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(cos.f64 (/.f64 (neg.f64 x) y))
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(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (*.f64 y y))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y (PI.f64))) (*.f64 y #s(literal 2 binary64)))
(+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))))))
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#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
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#s(approx (sin (/ x y)) (/.f64 (+.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))))) y))
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#s(approx (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y))))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))))))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))))) (+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) x))) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (-.f64 (-.f64 (*.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 #s(literal -1/48 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) x)))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64))) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/322560 binary64) (pow.f64 x #s(literal 7 binary64)) (fma.f64 #s(literal 1/7680 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64)))) (*.f64 x (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/24 binary64)) (*.f64 x (*.f64 y y))))))))))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64))) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64)))))) y)))
#s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (neg.f64 (/.f64 (+.f64 (neg.f64 x) (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/322560 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/7680 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/1440 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (fma.f64 #s(literal 1/1152 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 7/24 binary64)))))))))) y)))
#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y)))
#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))))) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -5/48 binary64)) (*.f64 (*.f64 x y) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) y))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) y))) y)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y)) y))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))) y))) y))))
#s(approx (cos (/ x y)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y)) y))))
#s(approx (cos (/ x y)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))) y))) y))))

eval109.0ms (3%)

Memory
-19.0MiB live, 74.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 7 486 to 1 858 computations (75.2% saved)

prune45.0ms (1.3%)

Memory
6.7MiB live, 53.9MiB allocated; 2ms collecting garbage
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New28617303
Fresh11415
Picked415
Done033
Total29135326
Accuracy
64.3%
Counts
326 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.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)))))
8.2%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.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)))))
7.5%
(/.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)))))
45.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
41.3%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.1%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
10.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1 binary64) y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶45.2%
(/.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)))))
✓45.5%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
8.2%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓45.5%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x (+.f64 y y)))))
40.9%
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
32.2%
(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
41.0%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x #s(approx (* y 2) (+.f64 y y)))))
30.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)))
32.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)))))
30.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y))))
54.8%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
▶53.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
45.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
59.2%
#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)))))))
58.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶59.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
6.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
59.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
✓59.2%
#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)))))
▶55.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))))
▶43.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
48.7%
#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)))))
56.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
✓58.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 485 to 1 318 computations (11.2% saved)

series68.0ms (1.9%)

Memory
-2.5MiB live, 136.1MiB allocated; 15ms collecting garbage
Counts
53 → 189
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))))
#s(literal 1 binary64)
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))
x
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))
#s(literal 1/2 binary64)
(/.f64 (PI.f64) x)
(PI.f64)
(/.f64 #s(literal 1/2 binary64) y)
y
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 y y)
#s(literal 1/8 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 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 x x)
(*.f64 (*.f64 y y) (*.f64 y y))
#s(literal 1/384 binary64)
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))))
(/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))
(-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)
(*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))))
(neg.f64 (sin.f64 (/.f64 x (+.f64 y y))))
(sin.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))
(+.f64 (/.f64 x (+.f64 y y)) (PI.f64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (/ (PI) x))))
#s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (PI)) (* 1/2 (/ x y))) x)))
#s(approx (/ (PI) x) #s(hole binary64 (/ (PI) x)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (+ (* (* x (/ x (* y y))) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x (/ x (* y y))) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* x (/ x (* y y))) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
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Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) 1/2 (/ (PI) x) (PI) (/ 1/2 y) y (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (+ (* (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* x x)) 1) (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ (* x x) (* (* y y) (* y y))) (* x x) (* (* y y) (* y y)) 1/384 (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (- (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) (sin (* 1/2 (PI))) (* 1/2 (PI)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) -1/2 (/ (* x (cos (* 1/2 (PI)))) y) (* x (cos (* 1/2 (PI)))) (cos (* 1/2 (PI))) (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (neg (sin (/ x (+ y y)))) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (cos (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2)
10.0ms
y
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) 1/2 (/ (PI) x) (PI) (/ 1/2 y) y (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (+ (* (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* x x)) 1) (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ (* x x) (* (* y y) (* y y))) (* x x) (* (* y y) (* y y)) 1/384 (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (- (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) (sin (* 1/2 (PI))) (* 1/2 (PI)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) -1/2 (/ (* x (cos (* 1/2 (PI)))) y) (* x (cos (* 1/2 (PI)))) (cos (* 1/2 (PI))) (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (neg (sin (/ x (+ y y)))) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (cos (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2)
9.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) 1/2 (/ (PI) x) (PI) (/ 1/2 y) y (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (+ (* (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* x x)) 1) (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ (* x x) (* (* y y) (* y y))) (* x x) (* (* y y) (* y y)) 1/384 (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (- (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) (sin (* 1/2 (PI))) (* 1/2 (PI)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) -1/2 (/ (* x (cos (* 1/2 (PI)))) y) (* x (cos (* 1/2 (PI)))) (cos (* 1/2 (PI))) (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (neg (sin (/ x (+ y y)))) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (cos (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2)
9.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) 1/2 (/ (PI) x) (PI) (/ 1/2 y) y (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (+ (* (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* x x)) 1) (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ (* x x) (* (* y y) (* y y))) (* x x) (* (* y y) (* y y)) 1/384 (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (- (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) (sin (* 1/2 (PI))) (* 1/2 (PI)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) -1/2 (/ (* x (cos (* 1/2 (PI)))) y) (* x (cos (* 1/2 (PI)))) (cos (* 1/2 (PI))) (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (neg (sin (/ x (+ y y)))) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (cos (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2)
9.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y))) x (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) 1/2 (/ (PI) x) (PI) (/ 1/2 y) y (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) (cos (* (/ x y) 1/2)) (+ (* (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* x x)) 1) (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ (* x x) (* (* y y) (* y y))) (* x x) (* (* y y) (* y y)) 1/384 (/ 1/8 (* y y)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (- (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) (sin (* 1/2 (PI))) (* 1/2 (PI)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) -1/2 (/ (* x (cos (* 1/2 (PI)))) y) (* x (cos (* 1/2 (PI)))) (cos (* 1/2 (PI))) (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (neg (sin (/ x (+ y y)))) (sin (/ x (+ y y))) (/ x (+ y y)) (+ y y) (cos (+ (/ x (+ y y)) (PI))) (+ (/ x (+ y y)) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2)

rewrite237.0ms (6.6%)

Memory
21.7MiB live, 259.8MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012459024
013167658
179027658
080077365
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
242 → 368
Calls
Call 1
Inputs
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x
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(PI.f64)
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#s(approx (neg (sin (/ x (+ y y)))) #s(hole binary64 (/ (- (* 1/645120 (/ (pow x 7) (pow y 6))) (+ (* -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 y))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (+ y y))) #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 y))) #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 (cos (+ (/ x (+ y y)) (PI))) #s(hole binary64 (- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* 1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (/ x (+ y y)) (PI))) #s(hole binary64 (- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* 1/2 (/ (* x (sin (PI))) 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 (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (/ (/ (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 (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
#s(approx (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) #s(hole binary64 (* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ x (cos (PI))))) y))))
#s(approx (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (pow x 3) (* y (cos (PI)))))) (+ (* 1/16 (/ (pow x 3) (* y (cos (PI))))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3)))))) y)) (* 1/2 (/ x (cos (PI))))) y))))
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#s(approx (neg (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y))))
#s(approx (neg (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (neg (sin (/ x (+ y y)))) #s(hole binary64 (* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (cos (+ (/ x (+ y y)) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))))
#s(literal 1 binary64)
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 x (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 x (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (*.f64 x (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
x
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1 binary64) y)))
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(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
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(+.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (PI.f64)) (neg.f64 x))
(/.f64 (PI.f64) x)
(PI.f64)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
y
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
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(*.f64 (/.f64 x (*.f64 y y)) x)
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
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(*.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))))
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#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal -1/3840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (+ y y))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal -1/3840 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) #s(literal 1/645120 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))

eval44.0ms (1.2%)

Memory
-3.8MiB live, 95.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 7 040 to 2 469 computations (64.9% saved)

prune37.0ms (1%)

Memory
-0.1MiB live, 94.3MiB allocated; 3ms collecting garbage
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New35613369
Fresh32326
Picked415
Done134
Total36440404
Accuracy
64.3%
Counts
404 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.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)))))
8.2%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.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)))))
7.5%
(/.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)))))
45.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
41.3%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.1%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
10.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1 binary64) y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.2%
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.8%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (+.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) x)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.7%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓45.5%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
8.2%
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.9%
(/.f64 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
32.2%
(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
30.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)))
32.4%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)))))
30.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y))))
54.8%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
✓53.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
45.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
3.2%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (+ (* (* x (/ x (* y y))) 1/8) 1) (*.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)))))
58.9%
#s(approx (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
59.2%
#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)))))))
58.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
30.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))))))
59.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x #s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))) x)))))))
6.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x #s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)))))))
6.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
59.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
✓59.2%
#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)))))
53.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)))))
4.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(approx (- (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64))))))
48.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(approx (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/384 binary64)) (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
56.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓58.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 702 to 1 232 computations (27.6% saved)

regimes84.0ms (2.3%)

Memory
23.1MiB live, 164.0MiB allocated; 15ms collecting garbage
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (+ (* (* x (/ x (* y y))) 1/8) 1) (*.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(approx (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/384 binary64)) (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x #s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) 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 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
#s(approx (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(approx (- (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) y) #s(literal 1/2 binary64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x #s(approx (* y 2) (+.f64 y y)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x #s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))) x)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))))
(/.f64 (tan.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #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 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (cos.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (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)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64))) (cos.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (cos.f64 #s(approx (+ (/ x (+ y y)) (PI)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) x)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1 binary64) y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (+.f64 y y)))) (sin.f64 (+.f64 (+.f64 (/.f64 x (+.f64 y y)) (PI.f64)) (/.f64 (PI.f64) #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(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* (/ x y) 1/2) (/ (PI) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#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 #s(literal 1 binary64) (sin.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (+.f64 y y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

18.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
17.0ms
y
17.0ms
x
14.0ms
(*.f64 y #s(literal 2 binary64))
12.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
59.3%1(*.f64 y #s(literal 2 binary64))
61.4%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
61.0%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
59.3%1x
59.3%1y
Compiler

Compiled 21 to 21 computations (0% saved)

regimes9.0ms (0.2%)

Memory
-32.5MiB live, 14.4MiB allocated; 3ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (+ (* (* x (/ x (* y y))) 1/8) 1) (*.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(approx (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/384 binary64)) (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x #s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) 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 (sin.f64 (/.f64 x y)) #s(approx (* (+ (cos (/ x y)) 1) (sin (/ x (+ y y)))) (/.f64 x y)))
#s(approx (/ (/ (neg (sin (/ x (+ y y)))) (cos (+ (/ x (+ y y)) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
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:

5.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
61.2%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes36.0ms (1%)

Memory
-17.3MiB live, 36.1MiB allocated; 5ms collecting garbage
Accuracy

Total -36.7b remaining (-138.5%)

Threshold costs -36.7b (-138.5%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (+ (* (* x (/ x (* y y))) 1/8) 1) (*.f64 x (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(approx (- (* (/ (* x x) (* (* y y) (* y y))) 1/384) (/ 1/8 (* y y))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/384 binary64)) (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 #s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (*.f64 y y))) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/384 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x #s(approx (+ (* 1/2 (/ (PI) x)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

18.0ms
(*.f64 y #s(literal 2 binary64))
4.0ms
y
4.0ms
x
4.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
4.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
58.6%1(*.f64 y #s(literal 2 binary64))
58.6%1x
58.6%1y
58.6%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
58.6%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 21 to 21 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.846460563347648e+128
2.2911430024126158e+129
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1190866939598571e+180
5.903254773946726e+184
Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations98.0ms (2.7%)

Memory
29.7MiB live, 76.2MiB allocated; 2ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 48 to 38 computations (20.8% saved)

preprocess47.0ms (1.3%)

Memory
16.2MiB live, 61.0MiB allocated; 4ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 391 to 298 computations (23.8% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...