rsin A (should all be same)

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze256.0ms (6%)

Memory
-27.7MiB live, 207.4MiB allocated; 55ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
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)

sample1.4s (32.3%)

Memory
40.9MiB live, 1 160.8MiB allocated; 190ms collecting garbage
Samples
981.0ms6 048×1valid
127.0ms2 208×0valid
Precisions
Click to see histograms. Total time spent on operations: 876.0ms
ival-cos: 323.0ms (36.9% of total)
adjust: 206.0ms (23.5% of total)
ival-sin: 199.0ms (22.7% of total)
ival-div!: 61.0ms (7% of total)
ival-mult!: 45.0ms (5.1% of total)
ival-add!: 43.0ms (4.9% of total)
Bogosity

preprocess37.0ms (0.9%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03897
114297
248693
3259193
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 16 to 16 computations (0% saved)

series22.0ms (0.5%)

Memory
-30.5MiB live, 15.1MiB allocated; 5ms 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
5.0ms
b
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
4.0ms
b
@inf
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)
2.0ms
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
r
@0
((/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) r (sin b) b (cos (+ a b)) (+ a b) a)

rewrite157.0ms (3.7%)

Memory
28.9MiB live, 125.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228937
0235901
11325845
08039811
Stop Event
iter-limit
node-limit
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))))

eval8.0ms (0.2%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 777 to 369 computations (52.5% saved)

prune15.0ms (0.4%)

Memory
-30.1MiB live, 16.6MiB allocated; 1ms collecting garbage
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New472370
Fresh000
Picked101
Done000
Total482371
Accuracy
99.8%
Counts
71 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
80.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
40.2%
(/.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)))
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))) (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 (*.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
35.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
62.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
69.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
62.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
53.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
50.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
49.5%
(/.f64 (*.f64 r (sin.f64 b)) #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))))
59.9%
(/.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))))
49.1%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
48.4%
(/.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)))
80.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
59.3%
#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))))
48.9%
#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))
62.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
49.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 692 to 606 computations (12.4% saved)

series66.0ms (1.6%)

Memory
14.8MiB live, 60.4MiB allocated; 4ms collecting garbage
Counts
37 → 168
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) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
#s(literal 1 binary64)
#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))
(*.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))
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 (* (+ (* 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 (* (+ (* 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)) (* (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 (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#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 (- (* (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 (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 1))
#s(approx (+ (/ b a) 1) #s(hole binary64 (+ 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 (/ (* 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#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 (* (+ (* 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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#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
10.0ms
b
@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)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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)))
9.0ms
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)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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)))
9.0ms
a
@-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)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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)))
7.0ms
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)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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)))
7.0ms
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)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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)))

rewrite173.0ms (4.1%)

Memory
-4.5MiB live, 135.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07064278
07573747
141623715
081203560
Stop Event
iter-limit
node-limit
iter-limit
Counts
205 → 364
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) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
#s(literal 1 binary64)
#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))
(*.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))
#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 (* (+ (* 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 (* (+ (* 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)) (* (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 (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#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 (- (* (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 (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 1))
#s(approx (+ (/ b a) 1) #s(hole binary64 (+ 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 (/ (* 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#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 (* (+ (* 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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#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 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
(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 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 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 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))) (+.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 (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)))))
(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 (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)))
(-.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 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.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 (neg.f64 a) (neg.f64 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 b a))) #s(literal 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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
a
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 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)) (cos (+ a b))) (*.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) b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (+ a b) b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) b))))
(cos.f64 (neg.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ a b) b)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(cos.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(*.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 b a) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 b a)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) a))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (*.f64 (neg.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 a) #s(literal 2 binary64)))
(/.f64 (fma.f64 b #s(literal 2 binary64) (+.f64 a a)) (+.f64 a a))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) b)) (+.f64 a a))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (*.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) a)) #s(literal 1 binary64)) (fma.f64 (/.f64 b a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) #s(literal 1 binary64)))))
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (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))
(*.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) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b))
(fma.f64 b (/.f64 r (cos.f64 a)) (*.f64 b (/.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)))))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.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))) b))
(+.f64 (*.f64 b (/.f64 r (cos.f64 a))) (*.f64 b (/.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)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)) (neg.f64 (cos.f64 a)) (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 r))) (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 a))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)) (cos.f64 a) (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r)) (*.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (cos.f64 a)))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (neg.f64 (cos.f64 a)) (*.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 r))) (*.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 a))))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a) (*.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) r)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 r) (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)))) (*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (neg.f64 r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (cos.f64 a)) (*.f64 (*.f64 (sin.f64 a) r) b))) (*.f64 (neg.f64 (cos.f64 a)) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 r (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sin.f64 a) r) b)))) (*.f64 (cos.f64 a) (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.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(literal 2 binary64)) (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (/.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))) (/.f64 r (cos.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.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(literal 2 binary64))) (-.f64 (/.f64 r (cos.f64 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)))))
(/.f64 (+.f64 (pow.f64 (/.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(literal 3 binary64)) (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.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(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (/.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))) (/.f64 r (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.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(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.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(literal 2 binary64)) (*.f64 (/.f64 r (cos.f64 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)))))))
(/.f64 (fma.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 a) (*.f64 (*.f64 (sin.f64 a) r) b))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))
(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))) b (/.f64 r (cos.f64 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)))
(+.f64 (/.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))) (/.f64 r (cos.f64 a)))
(+.f64 (/.f64 r (cos.f64 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))))
(*.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 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 a) r)) (neg.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.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)
(*.f64 r (sin.f64 a))
(*.f64 (fabs.f64 (cos.f64 a)) (fabs.f64 (cos.f64 a)))
(*.f64 (exp.f64 (log.f64 (cos.f64 a))) (exp.f64 (log.f64 (cos.f64 a))))
(*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 a))
(pow.f64 (exp.f64 (log.f64 (cos.f64 a))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (sin.f64 (+.f64 (+.f64 a (/.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 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.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 (neg.f64 a) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) a)) (cos.f64 (-.f64 (neg.f64 a) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 a))) (cos.f64 (-.f64 a (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a a)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -2 binary64)))
(fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))))
(+.f64 (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a a))))
(cos.f64 (neg.f64 (+.f64 a a)))
(cos.f64 (+.f64 a a))
(+.f64 (*.f64 (sin.f64 (+.f64 a a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(+.f64 a a)
#s(literal 2 binary64)
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a)))
(/.f64 r (cos.f64 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 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#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 (* (+ (* 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 (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (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 (+ a b))) (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)) (cos (+ a b))) (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 (- (* (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 #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)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (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 (+ a b))) (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)) (cos (+ a b))) (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 (- (* (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 (* (+ (/ b a) 1) a) b)
#s(approx (* (+ (/ b a) 1) a) (+.f64 a b))
#s(approx (+ (/ b a) 1) (/.f64 b a))
#s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a))
#s(approx (/ b a) (/.f64 b a))
#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 (- (* (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 (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 (- (* (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 a) 1) a) a)
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (/ b a) 1) #s(literal 1 binary64))
#s(approx (+ (/ b a) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
#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 (/ (* r (sin b)) (cos (+ a b))) (/.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 (* (+ (/ b a) 1) a) (*.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) (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 (-.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 (+ a b))) (*.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 (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 (- (* (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 (+ 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) (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 (-.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 (+ a b))) (*.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 (- (* (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 (* (+ (* 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 (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 (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (/ b a) 1) (fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64)))
#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 (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (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 (* (+ (/ b a) 1) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#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)))))

eval46.0ms (1.1%)

Memory
26.7MiB live, 70.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 337 to 1 913 computations (55.9% saved)

prune56.0ms (1.3%)

Memory
-35.0MiB live, 66.6MiB allocated; 16ms collecting garbage
Pruning

53 alts after pruning (53 fresh and 0 done)

PrunedKeptTotal
New32842370
Fresh71118
Picked505
Done000
Total34053393
Accuracy
99.8%
Counts
393 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
80.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
62.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 a))))
80.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
61.9%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
40.2%
(/.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)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (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))) (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)))))))
99.3%
(/.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)))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
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))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
67.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
59.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a))))
62.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
35.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
69.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
44.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
53.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
50.8%
(/.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))))
60.1%
(/.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))))
50.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
30.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
47.9%
(/.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 #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)) (sin.f64 a))))
48.1%
(/.f64 (*.f64 r #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))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #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)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
50.9%
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
49.1%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
30.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
48.4%
(/.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)))
30.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
80.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
62.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
48.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
48.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (neg.f64 (cos.f64 a)) (*.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 r))) (*.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 a)))) b))
62.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
25.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
29.6%
#s(approx (/ (* r (sin b)) (cos (+ a 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))
49.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
36.1%
#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)))))))
30.1%
#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))))
29.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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))))
48.9%
#s(approx (/ (* r (sin b)) (cos (+ 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))))))
Compiler

Compiled 1 962 to 1 746 computations (11% saved)

series47.0ms (1.1%)

Memory
18.1MiB live, 63.6MiB allocated; 6ms collecting garbage
Counts
32 → 184
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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)))
#s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))
#s(approx (* (+ (/ b a) 1) a) a)
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.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)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
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 (* (+ (* 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 (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* r (sin b))))
#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 (* (+ (* 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 (* (+ (* 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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 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 (* (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 (+ (* (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 (* (+ (* 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 (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 a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b 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 (/ (* 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#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 (* (+ (* 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 (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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b r)))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #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 (/ 1 (pow (sin b) -1)) #s(hole binary64 b))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (sin b) -1)) #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) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#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 (- (* (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 (* (+ (* 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 (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
b
@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))) (* (+ (* 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))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (cos (+ a b)) (+ a b) (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
6.0ms
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))) (* (+ (* 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))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (cos (+ a b)) (+ a b) (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
5.0ms
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))) (* (+ (* 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))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (cos (+ a b)) (+ a b) (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
5.0ms
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))) (* (+ (* 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))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (cos (+ a b)) (+ a b) (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
5.0ms
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))) (* (+ (* 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))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (cos (+ a b)) (+ a b) (/ (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* (sin b) r) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))

rewrite204.0ms (4.8%)

Memory
31.4MiB live, 211.9MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06685409
07134700
137414556
088494339
Stop Event
iter-limit
node-limit
iter-limit
Counts
216 → 472
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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)))
#s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))
#s(approx (* (+ (/ b a) 1) a) a)
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.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)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sin.f64 b) (sin.f64 a))
#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 (* (+ (* 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 (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* r (sin b))))
#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 (* (+ (* 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 (* (+ (* 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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 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 (* (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 (+ (* (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 (* (+ (* 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 (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 a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b 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 (/ (* 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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#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 (* (+ (* 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 (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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) (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 (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b r)))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (/ 1 (pow (sin b) -1))) #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 (/ 1 (pow (sin b) -1)) #s(hole binary64 b))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (sin b) -1)) #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) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#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 (- (* (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 (* (+ (* 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 (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ 1 (pow (sin b) -1)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#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 (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 (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
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 (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))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
r
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (+.f64 (neg.f64 b) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #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 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.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))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
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a
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(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
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(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 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)))))
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(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (neg.f64 (-.f64 a b)))
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(/.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 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.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))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (+.f64 (neg.f64 b) a))))
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(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
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(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #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 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 b) a)))
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(/.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))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
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(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
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(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
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(/.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 a b))) #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 (neg.f64 a) (neg.f64 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 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(*.f64 (sin.f64 a) (sin.f64 b))
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(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
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#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
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#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
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#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
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#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 #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)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 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 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 #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 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 (*.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) (+ 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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 (* (+ (/ b a) 1) a) b)
#s(approx (* (+ (/ b a) 1) a) (+.f64 a b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 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 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 #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 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 (*.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)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 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 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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 #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 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 (*.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)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 #s(literal 1/120 binary64) (*.f64 a a)) (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 #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 (+ (* (cos b) (cos a)) (* (neg (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 (* (+ (* 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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (* (+ (/ b a) 1) a) a)
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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 (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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 (* (+ (/ b a) 1) a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ 1 (pow (sin b) -1)) b)
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.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 (/ 1 (pow (sin b) -1)) (*.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)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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) (+ 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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ 1 (pow (sin b) -1)) b)
#s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (*.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 (/ 1 (pow (sin b) -1)) (*.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) (/.f64 #s(literal 1 binary64) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 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)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 (/ 1 (pow (sin b) -1)) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) (*.f64 b 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))) 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 (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (sin b) -1)) (sin.f64 b))
#s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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))) (*.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)))) (neg.f64 (/.f64 r (*.f64 (cos.f64 a) b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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 (* (+ (/ b a) 1) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))

eval59.0ms (1.4%)

Memory
-19.2MiB live, 82.7MiB allocated; 35ms collecting garbage
Compiler

Compiled 4 262 to 1 641 computations (61.5% saved)

prune95.0ms (2.2%)

Memory
-14.4MiB live, 76.3MiB allocated; 15ms collecting garbage
Pruning

63 alts after pruning (60 fresh and 3 done)

PrunedKeptTotal
New33036366
Fresh242448
Picked235
Done000
Total35663419
Accuracy
99.9%
Counts
419 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
52.9%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))))
51.5%
(/.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.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))))
99.3%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
67.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
59.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a))))
62.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
53.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
62.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
50.1%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
47.9%
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) (sin.f64 a))))
48.1%
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
50.9%
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) (sin.f64 a))))
40.2%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b)))
30.1%
(/.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 (+.f64 a b)))
52.9%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
49.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
49.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
40.2%
(/.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)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
52.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 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))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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))) (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 (*.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)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
69.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
44.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
50.8%
(/.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))))
60.1%
(/.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))))
30.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
48.6%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 a))))
48.4%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
49.0%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
30.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
30.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
80.1%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
53.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)))))
62.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
48.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
62.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
25.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
29.6%
#s(approx (/ (* r (sin b)) (cos (+ a 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))
49.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
36.1%
#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)))))))
30.1%
#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))))
29.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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))))
48.9%
#s(approx (/ (* r (sin b)) (cos (+ 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))))))
Compiler

Compiled 2 424 to 2 142 computations (11.6% saved)

series76.0ms (1.8%)

Memory
21.3MiB live, 118.7MiB allocated; 24ms collecting garbage
Counts
46 → 234
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a 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))
(*.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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.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 (+.f64 a b)))
(*.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))))
(/.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)))
#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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))
(cos.f64 (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a)))
(*.f64 #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)) (sin.f64 a))
#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))
(*.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)
(-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
(*.f64 b b)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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 (* (+ (* 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) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos (+ a b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#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 (* (+ (* 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 (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (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 a #s(hole binary64 a))
#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 (/ (* 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 (* (+ (* 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) (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) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (+ (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* (/ (* a (* r (sin b))) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* a (+ (* -1 (* (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1 (* (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#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 (* (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) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos 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 b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos (- b (* -1 a)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (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 (* (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 (/ (* 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 (* (+ (* 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 (+ 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (* -1/6 (/ r (cos a))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (+ (* -1/6 (/ r (cos a))) (* b (+ (* -1 (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))) (* -1/6 (/ (* r (sin a)) (pow (cos a) 2)))))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* b r)))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 b))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 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 (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ 1 b)))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (pow b 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (* (pow b 2) (+ 1 (* -1/3 (pow b 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (+ 1/2 (* -1 (pow b 2)))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (+ 1/2 (* (pow b 2) (- (* 1/3 (pow b 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/3 (* -2/45 (pow b 2)))) 1)))))
#s(approx (cos (* 2 b)) #s(hole binary64 1))
#s(approx (cos (* 2 b)) #s(hole binary64 (+ 1 (* -2 (pow b 2)))))
#s(approx (cos (* 2 b)) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 2/3 (pow b 2)) 2)))))
#s(approx (cos (* 2 b)) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/3 (* -4/45 (pow b 2)))) 2)))))
#s(approx (* 2 b) #s(hole binary64 (* 2 b)))
#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 (+ (* (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 (* (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 (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1 b)))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (- (* 1/6 (pow b 2)) 1)))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2))))))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (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) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 b))))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (* 1/2 (cos (* 2 b)))))
#s(approx (cos (* 2 b)) #s(hole binary64 (cos (* 2 b))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1/120 (pow b 5))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4)))))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (* -1/120 (pow b 4))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4)))))))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* -1/120 (pow b 4))))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 (* -1/120 (pow b 2))))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 (* (pow b 2) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#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) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos (- a (* -1 b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2))))))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2))))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
b
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 -1/2 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (neg (sin b)) (sin a)) (neg (sin b)) (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (* (+ (* (* b b) -1/120) 1/6) (* b b)) (+ (* (* b b) -1/120) 1/6) (* b b) -1/120 1/6)
12.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 -1/2 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (neg (sin b)) (sin a)) (neg (sin b)) (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (* (+ (* (* b b) -1/120) 1/6) (* b b)) (+ (* (* b b) -1/120) 1/6) (* b b) -1/120 1/6)
9.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 -1/2 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (neg (sin b)) (sin a)) (neg (sin b)) (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (* (+ (* (* b b) -1/120) 1/6) (* b b)) (+ (* (* b b) -1/120) 1/6) (* b b) -1/120 1/6)
7.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 -1/2 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (neg (sin b)) (sin a)) (neg (sin b)) (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (* (+ (* (* b b) -1/120) 1/6) (* b b)) (+ (* (* b b) -1/120) 1/6) (* b b) -1/120 1/6)
7.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* 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) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 -1/2 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* (neg (sin b)) (sin a)) (neg (sin b)) (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (* (+ (* (* b b) -1/120) 1/6) (* b b)) (+ (* (* b b) -1/120) 1/6) (* b b) -1/120 1/6)

rewrite238.0ms (5.6%)

Memory
14.1MiB live, 243.6MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09247340
09806064
152296004
080725751
Stop Event
iter-limit
node-limit
iter-limit
Counts
280 → 535
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a 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))
(*.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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.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 (+.f64 a b)))
(*.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))))
(/.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)))
#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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))
(cos.f64 (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a)))
(*.f64 #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)) (sin.f64 a))
#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))
(*.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)
(-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b))
(fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
(*.f64 b b)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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 (* (+ (* 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) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos (+ a b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#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 (* (+ (* 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 (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (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 a #s(hole binary64 a))
#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 (/ (* 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 (* (+ (* 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) (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) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (+ (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* (/ (* a (* r (sin b))) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* -1 (* (* a (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (+ (* a (+ (* -1 (* (* a (+ (* -1/2 (/ (* r (sin b)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (sin b)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b))))) (cos b))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1 (* (+ (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 3))) (* -1/2 (/ r (cos b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#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 (* (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) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos 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 b) (cos (+ a b))) #s(hole binary64 (/ (sin b) (cos (+ a b)))))
#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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos (- b (* -1 a)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (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 (* (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 (/ (* 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 (* (+ (* 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 (+ 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 (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))))
#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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (* -1/6 (/ r (cos a))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))))
#s(approx (/ (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (+ (* -1/6 (/ r (cos a))) (* b (+ (* -1 (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a))))) (* -1/6 (/ (* r (sin a)) (pow (cos a) 2)))))))) (/ (* r (sin a)) (pow (cos a) 2)))) (/ r (cos a))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* b r)))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 b))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 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 (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ 1 b)))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (pow b 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (* (pow b 2) (+ 1 (* -1/3 (pow b 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/45 (pow b 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (* (pow b 2) (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/45 (* -1/315 (pow b 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (+ 1/2 (* -1 (pow b 2)))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (+ 1/2 (* (pow b 2) (- (* 1/3 (pow b 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (+ 1/2 (* (pow b 2) (- (* (pow b 2) (+ 1/3 (* -2/45 (pow b 2)))) 1)))))
#s(approx (cos (* 2 b)) #s(hole binary64 1))
#s(approx (cos (* 2 b)) #s(hole binary64 (+ 1 (* -2 (pow b 2)))))
#s(approx (cos (* 2 b)) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 2/3 (pow b 2)) 2)))))
#s(approx (cos (* 2 b)) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 2/3 (* -4/45 (pow b 2)))) 2)))))
#s(approx (* 2 b) #s(hole binary64 (* 2 b)))
#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 (+ (* (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 (* (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 (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1 b)))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (- (* 1/6 (pow b 2)) 1)))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1)))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* 1/6 (pow b 2))))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2))))))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (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) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) #s(hole binary64 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 b))))))
#s(approx (* 1/2 (cos (* 2 b))) #s(hole binary64 (* 1/2 (cos (* 2 b)))))
#s(approx (cos (* 2 b)) #s(hole binary64 (cos (* 2 b))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1/120 (pow b 5))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4)))))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (* -1/120 (pow b 4))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4)))))))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* -1/120 (pow b 4))))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) #s(hole binary64 (* (pow b 4) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 (* -1/120 (pow b 2))))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(hole binary64 (* (pow b 2) (- (* 1/6 (/ 1 (pow b 2))) 1/120))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#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) (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (sin b) (cos (+ a b))) #s(hole binary64 (/ (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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (cos (+ a b))) #s(hole binary64 (* (/ r (cos (- a (* -1 b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2))))))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2))))))))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.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))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
r
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (neg.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 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))
b
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (-.f64 a (neg.f64 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 (neg.f64 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)))))
(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)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 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 (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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(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)))
a
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 b))
(sin.f64 (+.f64 b (PI.f64)))
(fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(*.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 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 a b))) #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 (neg.f64 a) (neg.f64 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 b)) (cos.f64 (-.f64 b a))) #s(literal 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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.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)
(*.f64 b #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 (*.f64 b r) a 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 (*.f64 r r) (*.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)) (*.f64 (*.f64 r r) r)) (fma.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r) (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 a b) r) r))))
(/.f64 (fma.f64 (*.f64 r r) r (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)))))
(fma.f64 (*.f64 a b) r r)
(fma.f64 (*.f64 b r) a r)
(fma.f64 a (*.f64 b r) r)
(fma.f64 b (*.f64 a r) r)
(-.f64 r (*.f64 (neg.f64 a) (*.f64 b r)))
(+.f64 (*.f64 (*.f64 a b) r) r)
(+.f64 r (*.f64 (*.f64 a b) r))
(*.f64 b r)
(*.f64 r b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 #s(approx (+ a b) b))))
(/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b)))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (+ a b) b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) b))))
(cos.f64 (neg.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
(+.f64 (*.f64 (sin.f64 #s(approx (+ a b) b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (+ a b) b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ a b) b)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.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))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (neg.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 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
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#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a b #s(literal 1 binary64)) r))
#s(approx (* b r) (*.f64 b r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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))) (neg.f64 (*.f64 (-.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))) r)))
#s(approx (+ (* (* b r) a) r) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) b) #s(literal 1 binary64)) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/6 binary64) (*.f64 (sin.f64 b) (/.f64 (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (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 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 a (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #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 a a)
#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 (cos.f64 b) #s(literal -1/2 binary64))) (*.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 (cos.f64 b) #s(literal -1/2 binary64))) (*.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 (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/6 binary64) (*.f64 (sin.f64 b) (/.f64 (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (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 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.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 a b) r) #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 (+ (* (* b r) a) r) r)
#s(approx (+ (* (* b r) a) r) (fma.f64 (*.f64 b r) a r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/6 binary64) (*.f64 (sin.f64 b) (/.f64 (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (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 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (sin b) (cos (+ a b))) (tan.f64 b))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 a (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (tan.f64 b)))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64)))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 (tan.f64 b) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) a) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (tan.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) 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)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (sin.f64 b) (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (sin.f64 b) (neg.f64 (*.f64 a (*.f64 (fma.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b))) (neg.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 b) (/.f64 (fma.f64 (/.f64 r (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (cos.f64 b)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) r)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a) (sin.f64 b)))) a (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (sin.f64 b))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/6 binary64) (*.f64 (sin.f64 b) (/.f64 (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 (*.f64 r (tan.f64 b)) #s(literal -1/2 binary64) (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 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 r (tan.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 a (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a (neg.f64 (sin.f64 b))) (cos.f64 b)))
#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 (*.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) (neg.f64 (sin.f64 b))) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 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 (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) r (neg.f64 (/.f64 r a)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.f64 b r))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) b)
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.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)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 (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 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) b) b) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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 (* (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 (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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) (+ 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)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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) (cos (+ a b))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (cos (+ a b))) (*.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))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) b) (neg.f64 (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (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 (sin.f64 a) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (cos.f64 a))))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) b) (neg.f64 (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (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 (/.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)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (fma.f64 (+.f64 (fma.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 -1/6 binary64) (neg.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) (/.f64 (*.f64 (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 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64))) (neg.f64 (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 (/.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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.f64 b r))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) b)
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.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 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.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 (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) b))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 b b) #s(literal 2/45 binary64)) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 b))) (+.f64 (neg.f64 (*.f64 b b)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 b))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 b))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 b)) #s(literal 1 binary64))
#s(approx (cos (* 2 b)) (fma.f64 #s(literal -2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos (* 2 b)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos (* 2 b)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* 2 b) (+.f64 b b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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)) (* (neg (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)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (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 (* (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) (sin.f64 a)) #s(literal 1/6 binary64) (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 (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (neg.f64 b))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) b) b) #s(literal 1 binary64)) b))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) #s(literal -1 binary64))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) b) b) #s(literal 1 binary64)))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) b) b))
#s(approx (+ (* (* b b) -1/120) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* b b) -1/120) 1/6) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (sin.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (cos b) (cos.f64 b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 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) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 r (/.f64 (sin.f64 a) (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 r (/.f64 (sin.f64 a) (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) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (sin.f64 b))
#s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 b))) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 b)) (cos.f64 (+.f64 b b)))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal -1/120 binary64)))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (pow.f64 b #s(literal 5 binary64))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/120 binary64)))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64))))
#s(approx (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b b))))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal -1/120 binary64)))
#s(approx (* (+ (* (* b b) -1/120) 1/6) (* b b)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64))))
#s(approx (+ (* (* b b) -1/120) 1/6) (*.f64 (*.f64 b b) #s(literal -1/120 binary64)))
#s(approx (+ (* (* b b) -1/120) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (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))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 r (*.f64 (cos.f64 a) 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)))))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) r (neg.f64 (/.f64 r b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (* (- (* (+ (* (* b b) -1/120) 1/6) (* b b)) 1) b) (neg.f64 (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64)))))

eval103.0ms (2.4%)

Memory
13.1MiB live, 101.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 5 942 to 2 395 computations (59.7% saved)

prune138.0ms (3.2%)

Memory
-52.6MiB live, 138.5MiB allocated; 91ms collecting garbage
Pruning

79 alts after pruning (73 fresh and 6 done)

PrunedKeptTotal
New43927466
Fresh94655
Picked235
Done033
Total45079529
Accuracy
99.9%
Counts
529 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
52.9%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))))
51.5%
(/.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.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))))
99.3%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
67.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
59.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a))))
62.9%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
54.0%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
53.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
62.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
50.1%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
47.9%
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
50.9%
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) (sin.f64 a))))
30.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
16.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
16.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (+.f64 b b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
23.8%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
52.9%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
30.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))) (cos.f64 (+.f64 a b)))
30.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 a b)))
49.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
49.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
51.5%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 a) (neg.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 b) (cos.f64 a))))
40.2%
(/.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)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (-.f64 (*.f64 (cos.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
48.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.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 #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)) (sin.f64 a))))
48.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.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 #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)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 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))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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))) (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 (*.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)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))
34.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
44.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
50.8%
(/.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))))
60.1%
(/.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))))
48.1%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 a))))
48.4%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
49.0%
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
30.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
48.3%
(/.f64 #s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.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)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
30.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
80.1%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
61.9%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 #s(approx (+ a b) b))))
30.8%
(*.f64 r (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) b))))
34.9%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
69.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
53.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)))))
62.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
49.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
48.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
62.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
25.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
29.6%
#s(approx (/ (* r (sin b)) (cos (+ a 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))
19.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
49.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
23.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
22.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
12.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
36.1%
#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)))))))
30.1%
#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))))
29.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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))))
48.9%
#s(approx (/ (* r (sin b)) (cos (+ 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))))))
Compiler

Compiled 3 042 to 2 110 computations (30.6% saved)

regimes241.0ms (5.7%)

Memory
-7.8MiB live, 170.7MiB allocated; 29ms collecting garbage
Counts
129 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
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(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
(/.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))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (neg.f64 (cos.f64 a)) (*.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 r))) (*.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 a)))) b))
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
(/.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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 a))))
#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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (-.f64 (*.f64 (cos.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 b) (cos.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)))) (fma.f64 (sin.f64 a) (neg.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (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 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.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)))))))
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:

91.0ms
b
74.0ms
r
35.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
31.0ms
a
Results
AccuracySegmentsBranch
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.4%1r
99.4%1a
99.4%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes118.0ms (2.8%)

Memory
23.1MiB live, 176.4MiB allocated; 13ms collecting garbage
Counts
97 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))) (cos.f64 (+.f64 a b)))
(/.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 (/.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 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (+.f64 b b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.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 (- (* (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 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ 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 (/ (* 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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 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 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.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)) (fma.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 #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)) (sin.f64 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)) #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))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(/.f64 (*.f64 r #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))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #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)) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) (sin.f64 a))))
(/.f64 #s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.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)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.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 #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)) (sin.f64 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 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(/.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 #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)) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) (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:

37.0ms
r
27.0ms
a
26.0ms
b
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.4%1r
99.4%1a
99.4%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes170.0ms (4%)

Memory
-14.9MiB live, 171.4MiB allocated; 18ms collecting garbage
Counts
95 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 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 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (cos.f64 #s(approx (+ a b) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))) (cos.f64 (+.f64 a b)))
(/.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 (/.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 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (+.f64 b b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.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 (- (* (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 r (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ 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 (/ (* 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))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 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 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.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)) (fma.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 #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)) (sin.f64 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)) #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))))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2)) (*.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))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(/.f64 (*.f64 r #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))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #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)) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) (sin.f64 a))))
(/.f64 #s(approx (* r (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2))) (*.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)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.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 #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)) (sin.f64 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 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #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)) (sin.f64 a))))
(/.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 #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)) (sin.f64 a))))
(/.f64 (*.f64 #s(approx (/ 1 (pow (sin b) -1)) (*.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 #s(approx (/ 1 (pow (sin b) -1)) (*.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)) (sin.f64 a))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Calls

4 calls:

74.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
38.0ms
b
27.0ms
a
26.0ms
r
Results
AccuracySegmentsBranch
80.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
80.1%1r
80.1%1a
80.1%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes38.0ms (0.9%)

Memory
27.1MiB live, 70.2MiB allocated; 6ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(/.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
Calls

4 calls:

11.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
8.0ms
b
8.0ms
r
8.0ms
a
Results
AccuracySegmentsBranch
80.2%3a
80.4%3b
65.6%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
62.0%1r
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes10.0ms (0.2%)

Memory
-28.1MiB live, 17.1MiB allocated; 3ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b)) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(/.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
80.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 b (/.f64 r (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) b)) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (- 1/2 (* 1/2 (cos (* 2 b)))) -1/2) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (/ 1 (pow (sin b) -1)) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 #s(approx (+ a b) #s(approx (* (+ (/ b a) 1) a) a))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 (tan.f64 b) r))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
80.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.8%)

Memory
-33.5MiB live, 24.7MiB allocated; 17ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

24.0ms
r
3.0ms
b
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
a
Results
AccuracySegmentsBranch
62.0%1r
62.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
62.0%1a
62.0%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes13.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Accuracy

Total -14.4b remaining (-32.5%)

Threshold costs -14.4b (-32.5%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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)) (cos (+ a 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 (/ (* r (sin b)) (cos (+ a b))) #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)) (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)) (cos (+ a b))) (*.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)) (cos (+ a b))) (*.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 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #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)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
Calls

4 calls:

3.0ms
a
3.0ms
r
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
b
Results
AccuracySegmentsBranch
30.6%1a
30.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
30.6%1b
30.6%1r
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch61.0ms (1.4%)

Memory
25.4MiB live, 71.0MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.3682832592282315e-27
1.3634289615037368e-9
39.0ms
-218015772043.25598
-0.032203874593062655
Samples
35.0ms142×1valid
11.0ms178×0valid
Compiler

Compiled 492 to 534 computations (-8.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-cos: 25.0ms (66.6% of total)
ival-sin: 5.0ms (13.3% of total)
adjust: 3.0ms (8% of total)
ival-add!: 2.0ms (5.3% of total)
ival-div!: 2.0ms (5.3% of total)
ival-mult!: 2.0ms (5.3% of total)

bsearch6.0ms (0.1%)

Memory
-39.7MiB live, 4.8MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.3682832592282315e-27
1.3634289615037368e-9
5.0ms
-218015772043.25598
-0.032203874593062655
Compiler

Compiled 512 to 554 computations (-8.2% saved)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.3682832592282315e-27
1.3634289615037368e-9
1.0ms
-218015772043.25598
-0.032203874593062655
Compiler

Compiled 752 to 794 computations (-5.6% saved)

derivations256.0ms (6%)

Memory
31.9MiB live, 228.1MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 108 to 69 computations (36.1% saved)

preprocess114.0ms (2.7%)

Memory
-20.6MiB live, 120.5MiB allocated; 13ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 458 to 395 computations (13.8% saved)

end0.0ms (0%)

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

Profiling

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