rsin A (should all be same)

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze248.0ms (5.3%)

Memory
7.2MiB live, 247.2MiB allocated; 41ms 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
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (31.8%)

Memory
59.2MiB live, 1 451.8MiB allocated; 307ms collecting garbage
Samples
985.0ms5 987×1valid
208.0ms2 269×0valid
Precisions
Click to see histograms. Total time spent on operations: 859.0ms
ival-cos: 290.0ms (33.8% of total)
ival-sin: 268.0ms (31.2% of total)
adjust: 148.0ms (17.2% of total)
ival-div!: 60.0ms (7% of total)
ival-add!: 47.0ms (5.5% of total)
ival-mult!: 45.0ms (5.2% of total)
Bogosity

preprocess42.0ms (0.9%)

Memory
-17.9MiB live, 27.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03897
110397
225197
357397
4101397
5204597
6433797
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 16 to 16 computations (0% saved)

series18.0ms (0.4%)

Memory
31.1MiB live, 31.1MiB allocated; 0ms collecting garbage
Counts
8 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
b
@-inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
a
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
r
@-inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)

rewrite198.0ms (4.2%)

Memory
17.9MiB live, 202.3MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228937
0235901
11325845
08049811
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
50 → 77
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(+.f64 a b)
(+.f64 b a)
a
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 r (tan.f64 b))))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval10.0ms (0.2%)

Memory
-25.4MiB live, 20.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 778 to 370 computations (52.4% saved)

prune17.0ms (0.4%)

Memory
-29.3MiB live, 32.5MiB allocated; 8ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New502171
Fresh000
Picked101
Done000
Total512172
Accuracy
99.8%
Counts
72 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
78.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
▶41.6%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
78.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
44.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶45.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
64.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
▶57.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
55.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
62.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
61.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
53.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
53.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
53.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
78.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
▶64.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
53.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 614 to 534 computations (13% saved)

series64.0ms (1.4%)

Memory
3.4MiB live, 96.4MiB allocated; 5ms collecting garbage
Counts
32 → 169
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 a b))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b r)))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 b))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (sqrt b)))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* -1/12 (sqrt (pow b 5))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* 1/240 (sqrt (pow b 3))))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* (pow b 2) (+ (* -1/288 (sqrt (/ 1 b))) (* 1/240 (sqrt (/ 1 b))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (sqrt (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
a
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
6.0ms
r
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
5.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
5.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
5.0ms
b
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))

rewrite246.0ms (5.2%)

Memory
14.8MiB live, 220.0MiB allocated; 126ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124879
07554201
140784153
082303982
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
201 → 390
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 a b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b r)))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 b))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (sqrt b)))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* -1/12 (sqrt (pow b 5))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* 1/240 (sqrt (pow b 3))))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* (pow b 2) (+ (* -1/288 (sqrt (/ 1 b))) (* 1/240 (sqrt (/ 1 b))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (sqrt (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 b)))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (neg.f64 (sqrt.f64 (sin.f64 b))))
(*.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b)))
(pow.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(fabs.f64 (sin.f64 b))
(exp.f64 (fma.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64) (*.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 b))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (-.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(exp.f64 (*.f64 (log.f64 (cos.f64 b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 a) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64)))
(sin.f64 a)
(exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 b (PI.f64)))
(tan.f64 b)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (+ a b) a)) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) a)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) a))))
(cos.f64 (neg.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) a)) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) a)) #s(literal 1 binary64)))
#s(approx (+ a b) a)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (neg.f64 (+.f64 a b)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))) (fma.f64 (+.f64 a b) (+.f64 a b) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b)))
(neg.f64 (+.f64 a b))
(fma.f64 #s(literal -1 binary64) a (neg.f64 b))
(fma.f64 a #s(literal -1 binary64) (neg.f64 b))
(+.f64 (neg.f64 a) (neg.f64 b))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(+.f64 a b)
(+.f64 b a)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 b)))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) (neg.f64 (sqrt.f64 (sin.f64 b))))
(*.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b)))
(pow.f64 (neg.f64 (sqrt.f64 (sin.f64 b))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(fabs.f64 (sin.f64 b))
(exp.f64 (fma.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64) (*.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 b))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (sin.f64 b))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal 1/4 binary64))
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))
(sqrt.f64 (sin.f64 b))
(fabs.f64 (neg.f64 (sqrt.f64 (sin.f64 b))))
(fabs.f64 (sqrt.f64 (sin.f64 b)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1/2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (sin.f64 b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) #s(literal 3 binary64))))))) a) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) a) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) a (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)))) a (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)) b))
#s(approx (neg (+ a b)) (neg.f64 b))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 a) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) a))
#s(approx (neg (+ a b)) (neg.f64 a))
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 a)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a)) #s(literal 1 binary64))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 a) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 a))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (tan b)) (*.f64 b r))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 a))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))) (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (/.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 3 binary64))))))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))) (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))) (pow.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal 3 binary64)))))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) b) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))) b (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 b) a))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) 1/2) (sqrt.f64 b))
#s(approx (pow (sin b) 1/2) (fma.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal -1/12 binary64) (sqrt.f64 b)))
#s(approx (pow (sin b) 1/2) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 b) b) #s(literal 1/240 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) #s(literal -1/12 binary64))) (*.f64 (*.f64 b b) b) (sqrt.f64 b)))
#s(approx (pow (sin b) 1/2) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) #s(literal 1/1440 binary64)) (*.f64 b b) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) #s(literal -1/12 binary64))) (*.f64 (*.f64 b b) b) (sqrt.f64 b)))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b))
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (pow (sin b) 1/2) (sqrt.f64 (sin.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 b)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)) #s(literal 1 binary64))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))

eval54.0ms (1.2%)

Memory
-10.0MiB live, 95.3MiB allocated; 23ms collecting garbage
Compiler

Compiled 4 423 to 1 711 computations (61.3% saved)

prune81.0ms (1.7%)

Memory
-18.7MiB live, 73.8MiB allocated; 10ms collecting garbage
Pruning

67 alts after pruning (67 fresh and 0 done)

PrunedKeptTotal
New36161422
Fresh10616
Picked505
Done000
Total37667443
Accuracy
99.8%
Counts
443 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
24.1%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
30.7%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶78.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
57.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
53.1%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
24.1%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
18.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
99.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
45.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
57.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) a)))
41.7%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))) (cos.f64 (+.f64 a b)))
41.6%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b)))
19.2%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
18.8%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) a)))
78.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
76.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
82.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/2 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
67.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
53.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 a))))
90.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64))))))
▶64.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
64.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
65.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
70.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
61.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
61.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
61.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
54.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
65.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
44.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
43.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
43.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
39.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
16.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
55.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
62.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
38.7%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
18.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
53.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
53.2%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
39.9%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
53.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
53.8%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
57.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
40.1%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
▶53.6%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
64.5%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
53.8%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
64.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
30.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
38.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
▶39.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
38.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 2 334 to 2 140 computations (8.3% saved)

series90.0ms (1.9%)

Memory
11.4MiB live, 152.4MiB allocated; 24ms collecting garbage
Counts
46 → 248
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(cos.f64 (+.f64 a b))
(+.f64 a b)
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
(*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b)
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))
(*.f64 (sin.f64 a) r)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))
(cos.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 a a)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* r (sin a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a r)))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a r)))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* -1/6 (* (pow a 2) r))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r))))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* -1 (pow a 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* -1 (pow a 2)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (cos (* 2 a)) #s(hole binary64 1))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* -2 (pow a 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 2/3 (pow a 2)) 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 2/3 (* -4/45 (pow a 2)))) 2)))))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow a 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (- (* 1/120 (pow a 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2))))))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 a))))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (* 1/2 (cos (* 2 a)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (cos (* 2 a))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1/5040 (pow a 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 7) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* -1/5040 (pow a 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 (* -1/5040 (pow a 2))))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 (* (pow a 2) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
r
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (sin a) (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (+ (* -1/5040 (* a a)) 1/120) -1/5040 (* a a) 1/120 1/6 1)
14.0ms
a
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (sin a) (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (+ (* -1/5040 (* a a)) 1/120) -1/5040 (* a a) 1/120 1/6 1)
10.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (sin a) (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (+ (* -1/5040 (* a a)) 1/120) -1/5040 (* a a) 1/120 1/6 1)
9.0ms
b
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (sin a) (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (+ (* -1/5040 (* a a)) 1/120) -1/5040 (* a a) 1/120 1/6 1)
9.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)) (sin a) (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (+ (* -1/5040 (* a a)) 1/120) -1/5040 (* a a) 1/120 1/6 1)

rewrite257.0ms (5.5%)

Memory
24.6MiB live, 250.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010027663
010706734
158196734
085116495
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
294 → 526
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(cos.f64 (+.f64 a b))
(+.f64 a b)
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
(*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b)
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))
(*.f64 (sin.f64 a) r)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))
(cos.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 a a)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* r (sin a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a r)))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a r)))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* -1/6 (* (pow a 2) r))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r))))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* -1 (pow a 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* -1 (pow a 2)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (cos (* 2 a)) #s(hole binary64 1))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* -2 (pow a 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 2/3 (pow a 2)) 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 2/3 (* -4/45 (pow a 2)))) 2)))))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow a 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (- (* 1/120 (pow a 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2))))))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 a))))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (* 1/2 (cos (* 2 a)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (cos (* 2 a))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1/5040 (pow a 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* (pow a 7) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* -1/5040 (pow a 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(hole binary64 (* (pow a 6) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 (* -1/5040 (pow a 2))))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(hole binary64 (* (pow a 2) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a)) #s(literal 1/36 binary64)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 a a)))
(fma.f64 (*.f64 a a) #s(literal 1/120 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 a a)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(/.f64 (+.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 a a) #s(literal 3 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) a) a #s(literal 1/120 binary64))
(fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)))
#s(literal -1/5040 binary64)
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (*.f64 b r) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (sin a) r) (*.f64 (sin.f64 a) r))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 b r) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (sin.f64 b) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/120 binary64) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (neg.f64 (sin.f64 b))) a))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) a) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b r))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b r) #s(literal 5/6 binary64)) b) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b r) #s(literal 5/6 binary64)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 b r)) a r))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 a r))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 (fma.f64 (*.f64 r #s(literal 5/6 binary64)) (*.f64 a a) r) a))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (*.f64 r #s(literal 5/6 binary64))))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) r)) (neg.f64 r)) (*.f64 a a) r) a))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) r) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (*.f64 r #s(literal 5/6 binary64))))))) (fma.f64 #s(literal -2/45 binary64) r (*.f64 #s(literal 1/3 binary64) (*.f64 r #s(literal 5/6 binary64))))) (*.f64 a a) (*.f64 #s(literal 1/120 binary64) r)) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (*.f64 r #s(literal 5/6 binary64))))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) r)) (neg.f64 r)) (*.f64 a a) r) a))
#s(approx (* (sin a) r) (*.f64 a r))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (*.f64 (*.f64 a a) r) #s(literal -1/6 binary64) r) a))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 a a) r) a))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 a a) r) a))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (+.f64 (neg.f64 (*.f64 a a)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 a))) (+.f64 (neg.f64 (*.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 a)) #s(literal 1 binary64))
#s(approx (cos (* 2 a)) (fma.f64 #s(literal -2 binary64) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (* 2 a)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (* 2 a)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 a a) #s(literal 2/3 binary64)) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (* 2 a) (+.f64 a a))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (neg.f64 (*.f64 a a)) (*.f64 r #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 a a)) (fma.f64 #s(literal -1/720 binary64) r (fma.f64 #s(literal 1/48 binary64) r (*.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 r #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/2 binary64) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) (sin.f64 b))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) a)
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (*.f64 (*.f64 a a) #s(literal 1/120 binary64)))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a))
#s(approx (+ (* -1/5040 (* a a)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* a a)) 1/120) (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 a)) (cos.f64 (+.f64 a a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (pow.f64 a #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (pow.f64 a #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (pow.f64 a #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (*.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (*.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (pow.f64 a #s(literal 6 binary64))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/5040 binary64)))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (+ (* -1/5040 (* a a)) 1/120) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* a a)) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (*.f64 a a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (neg.f64 (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) (pow.f64 a #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (neg.f64 (*.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1/120 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1/120 binary64) (*.f64 a a)))) (pow.f64 a #s(literal -6 binary64))) (pow.f64 a #s(literal 7 binary64)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (sin.f64 a) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/120 binary64) (*.f64 (sin.f64 a) #s(literal 1/6 binary64))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/5040 binary64) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (*.f64 b b))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (tan b)) (*.f64 b r))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/2 binary64) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (tan b) (tan.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) (sin.f64 a)) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 r) (*.f64 (cos.f64 a) b)))))

eval110.0ms (2.3%)

Memory
-19.8MiB live, 131.8MiB allocated; 70ms collecting garbage
Compiler

Compiled 6 727 to 2 776 computations (58.7% saved)

prune63.0ms (1.3%)

Memory
8.8MiB live, 103.0MiB allocated; 4ms collecting garbage
Pruning

74 alts after pruning (71 fresh and 3 done)

PrunedKeptTotal
New47525500
Fresh164662
Picked235
Done000
Total49374567
Accuracy
99.9%
Counts
567 → 74
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
24.1%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
30.7%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
▶99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶64.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
✓78.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
64.5%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
57.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
53.6%
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
53.1%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
24.1%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
18.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
99.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
45.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
57.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) a)))
41.7%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))) (cos.f64 (+.f64 a b)))
41.6%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b)))
19.2%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
18.8%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) a)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
79.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
76.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
82.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/2 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
67.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
53.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 a))))
90.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64))))))
64.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/5040 (* a a)) 1/120) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
65.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
70.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) a)))))
57.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
61.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
59.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
58.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
54.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
65.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
58.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
42.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
44.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
▶43.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
43.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
39.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
16.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
55.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
62.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
38.7%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
18.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
53.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
39.9%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
53.8%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
78.8%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
57.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
40.1%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
▶53.6%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
64.5%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
53.4%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
▶37.9%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
53.8%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
38.3%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
53.6%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (*.f64 b r) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
30.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
38.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
✓39.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
38.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 2 819 to 2 590 computations (8.1% saved)

series71.0ms (1.5%)

Memory
-1.6MiB live, 96.6MiB allocated; 10ms collecting garbage
Counts
52 → 293
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
(fma.f64 (*.f64 b r) a r)
(*.f64 b r)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (sin.f64 b))
(sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (+ a b) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
(*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b)
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 a) r)
(fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 a a))
(+.f64 a a)
#s(literal 1/2 binary64)
(/.f64 r (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a)
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a)
(fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 a a)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b)))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* r (sin a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 1)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 r))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a r)))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a r)))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* -1/6 (* (pow a 2) r))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r))))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r)))))))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow a 2)))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (cos (+ a a)) #s(hole binary64 1))
#s(approx (cos (+ a a)) #s(hole binary64 (+ 1 (* -2 (pow a 2)))))
#s(approx (cos (+ a a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 2/3 (pow a 2)) 2)))))
#s(approx (cos (+ a a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 2/3 (* -4/45 (pow a 2)))) 2)))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos b)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (+ 1 (* -1/6 (pow a 2)))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1/6 a)))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* a (- (* 1/120 (pow a 2)) 1/6))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* a (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (- (* 1/120 (pow a 2)) 1/6)))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2))))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* 1/120 a)))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* a (+ 1/120 (* -1/5040 (pow a 2))))))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 a))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 a))))))
#s(approx (cos (+ a a)) #s(hole binary64 (cos (* 2 a))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1/5040 (pow a 7))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* (pow a 7) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* -1/5040 (pow a 6))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* (pow a 6) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1/5040 (pow a 5))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* (pow a 5) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* (pow a 5) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* -1/5040 (pow a 3))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* (pow a 3) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow a 2))))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 (* (pow a 2) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (neg (* -2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (neg (* -2 a)))))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (neg (* -2 a))))))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 a)))))))
#s(approx (cos (+ a a)) #s(hole binary64 (cos (neg (* -2 a)))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))))))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1 (* (pow a 5) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1 (* (pow a 5) (- (+ 1/5040 (/ 1/6 (pow a 4))) (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* -1 (* (pow a 3) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 b))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
r
@-inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2) (cos (+ a a)) (+ a a) 1/2 (/ r (cos a)) (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (* (sin a) (sin b)) (sin a) (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (* (+ (* (* a a) -1/5040) 1/120) a) (+ (* (* a a) -1/5040) 1/120) (* a a) -1/5040 1/120 1/6 1)
9.0ms
a
@-inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2) (cos (+ a a)) (+ a a) 1/2 (/ r (cos a)) (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (* (sin a) (sin b)) (sin a) (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (* (+ (* (* a a) -1/5040) 1/120) a) (+ (* (* a a) -1/5040) 1/120) (* a a) -1/5040 1/120 1/6 1)
8.0ms
r
@inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2) (cos (+ a a)) (+ a a) 1/2 (/ r (cos a)) (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (* (sin a) (sin b)) (sin a) (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (* (+ (* (* a a) -1/5040) 1/120) a) (+ (* (* a a) -1/5040) 1/120) (* a a) -1/5040 1/120 1/6 1)
7.0ms
a
@inf
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2) (cos (+ a a)) (+ a a) 1/2 (/ r (cos a)) (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (* (sin a) (sin b)) (sin a) (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (* (+ (* (* a a) -1/5040) 1/120) a) (+ (* (* a a) -1/5040) 1/120) (* a a) -1/5040 1/120 1/6 1)
7.0ms
r
@0
((/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (sin b) b r (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2) (cos (+ a a)) (+ a a) 1/2 (/ r (cos a)) (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (cos a) (cos b)) (* (sin a) (sin b)) (sin a) (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (* (+ (* (* a a) -1/5040) 1/120) a) (+ (* (* a a) -1/5040) 1/120) (* a a) -1/5040 1/120 1/6 1)

rewrite223.0ms (4.7%)

Memory
-6.1MiB live, 176.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011399598
012128397
163768322
085017984
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
345 → 555
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
(fma.f64 (*.f64 b r) a r)
(*.f64 b r)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (sin.f64 b))
(sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (+ a b) a)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
(*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b)
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 a) r)
(fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 a a))
(+.f64 a a)
#s(literal 1/2 binary64)
(/.f64 r (cos.f64 a))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a)
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a)
(fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 a a)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b)))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* r (sin a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 1)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 r))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a r)))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a r)))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* -1/6 (* (pow a 2) r))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r))))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r)))))))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 1))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1 (* -1 (pow a 2)))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (cos (+ a a)) #s(hole binary64 1))
#s(approx (cos (+ a a)) #s(hole binary64 (+ 1 (* -2 (pow a 2)))))
#s(approx (cos (+ a a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 2/3 (pow a 2)) 2)))))
#s(approx (cos (+ a a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 2/3 (* -4/45 (pow a 2)))) 2)))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos b)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (+ 1 (* -1/6 (pow a 2)))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6)))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1/6 a)))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* a (- (* 1/120 (pow a 2)) 1/6))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* a (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (- (* 1/120 (pow a 2)) 1/6)))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6)))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* 1/120 (pow a 2))))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2))))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* 1/120 a)))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* a (+ 1/120 (* -1/5040 (pow a 2))))))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 a))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 a))))))
#s(approx (cos (+ a a)) #s(hole binary64 (cos (* 2 a))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1/5040 (pow a 7))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* (pow a 7) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* (pow a 7) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* -1/5040 (pow a 6))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* (pow a 6) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(hole binary64 (* (pow a 6) (- (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1/5040 (pow a 5))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* (pow a 5) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* (pow a 5) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) (+ 1/5040 (/ 1/6 (pow a 4)))))))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* -1/5040 (pow a 4))))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) #s(hole binary64 (* (pow a 4) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* -1/5040 (pow a 3))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* (pow a 3) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow a 2))))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(hole binary64 (* (pow a 2) (- (* 1/120 (/ 1 (pow a 2))) 1/5040))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (neg (* -2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (neg (* -2 a)))))))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (neg (* -2 a))))))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (cos (neg (* -2 a)))))))
#s(approx (cos (+ a a)) #s(hole binary64 (cos (neg (* -2 a)))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) #s(hole binary64 (* -1 (* (pow a 7) (- (+ 1/5040 (/ 1/6 (pow a 4))) (+ (* 1/120 (/ 1 (pow a 2))) (/ 1 (pow a 6))))))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1 (* (pow a 5) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) #s(hole binary64 (* -1 (* (pow a 5) (- (+ 1/5040 (/ 1/6 (pow a 4))) (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) #s(hole binary64 (* -1 (* (pow a 3) (- 1/5040 (* 1/120 (/ 1 (pow a 2))))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (cos a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin a) (sin b)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 b))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
b
r
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (-.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (*.f64 r b) a r)) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (*.f64 r b) a r)) b)
(*.f64 b #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (*.f64 r b) a r)))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (*.f64 r b) a r))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r))) (-.f64 r (*.f64 (*.f64 a b) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a b) r) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r (*.f64 (*.f64 a b) r)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a b) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r) (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 a b) r) r))))
(fma.f64 (*.f64 a b) r r)
(fma.f64 (*.f64 r b) a r)
(fma.f64 a (*.f64 r b) r)
(fma.f64 b (*.f64 a r) r)
(-.f64 r (*.f64 (neg.f64 a) (*.f64 r b)))
(+.f64 (*.f64 (*.f64 a b) r) r)
(+.f64 r (*.f64 (*.f64 a b) r))
(*.f64 r b)
(*.f64 b r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (+ a b) a)) #s(literal 0 binary64) (*.f64 (cos.f64 #s(approx (+ a b) a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) a)) (*.f64 #s(literal 0 binary64) (sin.f64 #s(approx (+ a b) a))))
(cos.f64 (neg.f64 #s(approx (+ a b) a)))
(cos.f64 #s(approx (+ a b) a))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) a))) (*.f64 #s(literal 0 binary64) (sin.f64 #s(approx (+ a b) a))))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) a)) #s(literal 0 binary64)) (*.f64 (cos.f64 #s(approx (+ a b) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (+ a b) a) #s(approx (+ a b) a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ a b) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ a b) a) #s(approx (+ a b) a) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (+ a b) a))
#s(approx (+ a b) a)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
(*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b)
(*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b) b))
(fma.f64 b (/.f64 r (cos.f64 a)) (*.f64 b (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b)))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b) b))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 b (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b)))
(/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a))) (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b) (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b))) (-.f64 (/.f64 r (cos.f64 a)) (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b) (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b)) (*.f64 (/.f64 r (cos.f64 a)) (/.f64 r (cos.f64 a)))) (-.f64 (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b) (/.f64 r (cos.f64 a))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64))
(fma.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 a (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a))
(*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a)
(*.f64 a (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(*.f64 a (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a))
(fma.f64 (*.f64 a a) #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 a a)))
(fma.f64 (*.f64 a a) #s(literal 1/120 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 a a)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a)
(*.f64 a (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) a (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) a))
(fma.f64 #s(literal 1/120 binary64) a (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(fma.f64 a #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) a))
(fma.f64 a #s(literal 1/120 binary64) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(+.f64 (*.f64 #s(literal 1/120 binary64) a) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) a))
(+.f64 (*.f64 #s(literal 1/120 binary64) a) (*.f64 a (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(/.f64 (+.f64 #s(literal 1/1728000 binary64) (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 3 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))
(fma.f64 a (*.f64 a #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a b #s(literal 1 binary64)) r))
#s(approx (* b r) (*.f64 r b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (sin a) r) (*.f64 (sin.f64 a) r))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 r b) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 r) (-.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 r b) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) a) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 r b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 a b) r) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 r b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) b) a (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 r b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) r)
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (*.f64 r b) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 r b)) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 r b)) a r))
#s(approx (+ (* (* b r) a) r) r)
#s(approx (+ (* (* b r) a) r) (fma.f64 (*.f64 r b) a r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))) a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))))) a) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) a) #s(literal -1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (fma.f64 a (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) a) #s(literal -1/6 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
#s(approx (+ (+ a b) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 r b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 a b) r) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 r b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) b) a (*.f64 (*.f64 r b) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 r b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) r)
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (*.f64 r b) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 r b)) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 r b) #s(literal 5/6 binary64)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 r b)) a r))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (*.f64 a r))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (*.f64 (fma.f64 (*.f64 r #s(literal 5/6 binary64)) (*.f64 a a) r) a))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (*.f64 r #s(literal 5/6 binary64))))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) r)) (neg.f64 r)) (*.f64 a a) r) a))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) r) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (*.f64 r #s(literal 5/6 binary64))))))) (fma.f64 #s(literal -2/45 binary64) r (*.f64 #s(literal 1/3 binary64) (*.f64 r #s(literal 5/6 binary64))))) (*.f64 a a) (*.f64 #s(literal 1/120 binary64) r)) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (*.f64 r #s(literal 5/6 binary64))))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) r)) (neg.f64 r)) (*.f64 a a) r) a))
#s(approx (* (sin a) r) (*.f64 a r))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (*.f64 (*.f64 a a) r) #s(literal -1/6 binary64) r) a))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 a a) r) a))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 a a) r) a))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(literal 1 binary64))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) (+.f64 (neg.f64 (*.f64 a a)) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (+ a a)) #s(literal 1 binary64))
#s(approx (cos (+ a a)) (fma.f64 #s(literal -2 binary64) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (+ a a)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (+ a a)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 a a) #s(literal 2/3 binary64)) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ a a) (+.f64 a a))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (neg.f64 (*.f64 a a)) (*.f64 r #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 a a)) (fma.f64 #s(literal -1/720 binary64) r (fma.f64 #s(literal 1/48 binary64) r (*.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 r #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) a)
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (*.f64 #s(literal -1/6 binary64) a))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) a))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (*.f64 (*.f64 a a) #s(literal 1/120 binary64)))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) (*.f64 #s(literal 1/120 binary64) a))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a))
#s(approx (+ (* (* a a) -1/5040) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* a a) -1/5040) 1/120) (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 r b (/.f64 r a)) a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))
#s(approx (+ (+ a b) (/ (PI) 2)) a)
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos (+ a a)) (cos.f64 (+.f64 a a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (*.f64 (pow.f64 a #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (pow.f64 a #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (pow.f64 a #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (pow.f64 a #s(literal 7 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))))
#s(approx (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) (*.f64 (-.f64 (-.f64 (+.f64 (pow.f64 a #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (*.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (*.f64 (pow.f64 a #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/5040 binary64)))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a))))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/5040 binary64)))
#s(approx (* (* (+ (* (* a a) -1/5040) 1/120) a) a) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) (*.f64 (*.f64 (*.f64 a a) a) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* a a) -1/5040) 1/120) (*.f64 (*.f64 a a) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* a a) -1/5040) 1/120) (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/5040 binary64)) (*.f64 a a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) r (/.f64 (neg.f64 r) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a))))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2)) (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (cos (+ a a)) 1/2) 1/2) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (cos (+ a a)) (cos.f64 (+.f64 a a)))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (neg.f64 (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) (pow.f64 a #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (neg.f64 (*.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1/120 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) a) 1) a) (neg.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1/120 binary64) (*.f64 a a)))) (pow.f64 a #s(literal -6 binary64))) (pow.f64 a #s(literal 7 binary64)))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (neg.f64 (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) (pow.f64 a #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* (* a a) -1/5040) 1/120) a) a) 1/6) a) (neg.f64 (*.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1/120 binary64) (*.f64 a a)))) (pow.f64 a #s(literal 5 binary64)))))
#s(approx (* (+ (* (* a a) -1/5040) 1/120) a) (neg.f64 (*.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 a a))) (*.f64 (*.f64 a a) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 r b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (+.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) r) b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/6 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (*.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) #s(literal 1/2 binary64)))) b))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (* (sin b) r) (*.f64 r b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) b) #s(literal -1/2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (fma.f64 b (fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) b) #s(literal -1/6 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (*.f64 b b) (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))
#s(approx (+ (+ a b) (/ (PI) 2)) b)
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (*.f64 b b) (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 r) (*.f64 (cos.f64 a) b)))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) r (/.f64 (neg.f64 r) b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b))))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b)) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (neg.f64 r) (*.f64 (cos.f64 a) b)))))

eval67.0ms (1.4%)

Memory
26.0MiB live, 114.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 7 437 to 3 084 computations (58.5% saved)

prune83.0ms (1.8%)

Memory
-23.2MiB live, 128.5MiB allocated; 11ms collecting garbage
Pruning

81 alts after pruning (74 fresh and 7 done)

PrunedKeptTotal
New47432506
Fresh244266
Picked145
Done033
Total49981580
Accuracy
99.9%
Counts
580 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
24.1%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
30.7%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
67.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
64.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
65.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
70.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
61.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
✓64.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
54.3%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.2%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
57.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
59.3%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
58.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
65.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
58.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
✓78.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
64.5%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
57.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
55.2%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
62.5%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
53.7%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
53.6%
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
53.1%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
24.1%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
18.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
99.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
45.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
57.7%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) a)))
41.7%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))) (cos.f64 (+.f64 a b)))
41.6%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b)))
19.2%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
18.8%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) a)))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
79.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
76.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
82.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) #s(literal 1/2 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
53.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 a))))
90.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64))))))
42.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
43.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
39.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
43.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
38.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
16.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
16.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
38.7%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
18.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
39.9%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
53.8%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
78.8%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
57.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
40.1%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
40.1%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
✓53.6%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
53.4%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
64.5%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
53.8%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
✓37.9%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
36.9%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
24.4%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
27.4%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
13.7%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
38.3%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
53.6%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
30.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
38.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
✓39.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
38.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 3 000 to 2 092 computations (30.3% saved)

regimes189.0ms (4%)

Memory
1.1MiB live, 141.1MiB allocated; 49ms collecting garbage
Counts
140 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Calls

4 calls:

56.0ms
r
35.0ms
b
33.0ms
a
32.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes176.0ms (3.8%)

Memory
12.2MiB live, 198.8MiB allocated; 29ms collecting garbage
Counts
117 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (*.f64 b r) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) a)))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/5040 (* a a)) 1/120) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

74.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
36.0ms
a
34.0ms
r
28.0ms
b
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes137.0ms (2.9%)

Memory
23.5MiB live, 169.2MiB allocated; 12ms collecting garbage
Counts
115 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) a) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ (* (cos (+ a a)) 1/2) 1/2) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (*.f64 b r) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (*.f64 (*.f64 r b) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (sqrt.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) (* a a)) 1) a) a)))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(approx (- (* (+ (* -1/5040 (* a a)) 1/120) (* a a)) 1/6) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (+ (* -1/5040 (* a a)) 1/120) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) a) a) #s(literal 1/6 binary64)) a) a #s(literal 1 binary64)) a)) (sin.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

4 calls:

41.0ms
b
35.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.0ms
a
27.0ms
r
Results
AccuracySegmentsBranch
78.9%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.9%1r
78.9%1a
78.9%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes47.0ms (1%)

Memory
-5.5MiB live, 85.6MiB allocated; 6ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Calls

4 calls:

13.0ms
a
12.0ms
b
10.0ms
r
10.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
78.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
78.8%1a
78.8%1r
78.8%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes46.0ms (1%)

Memory
-22.7MiB live, 75.8MiB allocated; 8ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
Calls

4 calls:

12.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms
r
10.0ms
a
10.0ms
b
Results
AccuracySegmentsBranch
64.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
79.5%3a
64.5%1r
79.0%3b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes10.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
Calls

1 calls:

8.0ms
a
Results
AccuracySegmentsBranch
79.5%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.4%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
Calls

2 calls:

8.0ms
a
8.0ms
b
Results
AccuracySegmentsBranch
79.0%3b
77.4%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 r b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) b)))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
79.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes34.0ms (0.7%)

Memory
-33.7MiB live, 12.4MiB allocated; 2ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

22.0ms
b
4.0ms
a
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
r
Results
AccuracySegmentsBranch
64.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
64.5%1r
64.5%1a
64.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes13.0ms (0.3%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Accuracy

Total -17.4b remaining (-44.7%)

Threshold costs -17.4b (-44.7%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (*.f64 a r) r)) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ (* (cos (+ a a)) 1/2) 1/2))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 r b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
Calls

4 calls:

3.0ms
a
3.0ms
r
3.0ms
b
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
39.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
39.3%1a
39.3%1b
39.3%1r
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch47.0ms (1%)

Memory
5.3MiB live, 51.5MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
5.84061560390229
174.00337727694838
26.0ms
-7688100447793.809
-7.457535570452534e-16
Samples
23.0ms147×1valid
9.0ms141×0valid
Compiler

Compiled 408 to 446 computations (-9.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 9.0ms (38.8% of total)
ival-sin: 7.0ms (30.2% of total)
adjust: 3.0ms (12.9% of total)
ival-div!: 2.0ms (8.6% of total)
ival-mult!: 2.0ms (8.6% of total)
ival-add!: 1.0ms (4.3% of total)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
5.84061560390229
174.00337727694838
1.0ms
-7688100447793.809
-7.457535570452534e-16
Compiler

Compiled 408 to 446 computations (-9.3% saved)

bsearch52.0ms (1.1%)

Memory
-29.8MiB live, 68.2MiB allocated; 23ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
9.915741273716072e-11
1.6895265710486913e-6
24.0ms
-45314.88731295004
-4.469175366867669e-12
Samples
15.0ms126×1valid
9.0ms162×0valid
Compiler

Compiled 816 to 854 computations (-4.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 7.0ms (40.9% of total)
adjust: 3.0ms (17.5% of total)
ival-sin: 3.0ms (17.5% of total)
ival-div!: 2.0ms (11.7% of total)
ival-mult!: 2.0ms (11.7% of total)
ival-add!: 1.0ms (5.8% of total)

bsearch2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.915741273716072e-11
1.6895265710486913e-6
1.0ms
-45314.88731295004
-4.469175366867669e-12
Compiler

Compiled 840 to 878 computations (-4.5% saved)

derivations326.0ms (6.9%)

Memory
46.0MiB live, 369.0MiB allocated; 48ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 122 to 79 computations (35.2% saved)

preprocess153.0ms (3.3%)

Memory
6.8MiB live, 197.1MiB allocated; 13ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 594 to 485 computations (18.4% saved)

end0.0ms (0%)

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

Profiling

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