rsin A (should all be same)

Time bar (total: 4.3s)

start0.0ms (0%)

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

analyze351.0ms (8.1%)

Memory
-17.5MiB live, 332.5MiB allocated; 124ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (31.3%)

Memory
47.7MiB live, 1 394.0MiB allocated; 144ms collecting garbage
Samples
925.0ms6 032×1valid
134.0ms2 224×0valid
Precisions
Click to see histograms. Total time spent on operations: 791.0ms
ival-cos: 282.0ms (35.6% of total)
ival-sin: 211.0ms (26.7% of total)
adjust: 135.0ms (17.1% of total)
ival-div!: 72.0ms (9.1% of total)
ival-mult!: 47.0ms (5.9% of total)
ival-add!: 44.0ms (5.6% of total)
Bogosity

preprocess79.0ms (1.8%)

Memory
-35.9MiB live, 27.0MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03897
110397
225197
357397
4101397
5204597
6433797
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 16 to 16 computations (0% saved)

series16.0ms (0.4%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Counts
8 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

9 calls:

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

rewrite168.0ms (3.9%)

Memory
9.5MiB live, 145.0MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval8.0ms (0.2%)

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

Compiled 778 to 370 computations (52.4% saved)

prune13.0ms (0.3%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New502171
Fresh000
Picked101
Done000
Total512172
Accuracy
99.8%
Counts
72 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
72.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
▶34.5%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
99.2%
(/.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))))
37.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶36.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
58.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
▶58.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
47.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
54.6%
(/.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))))
46.1%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
46.1%
(/.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)))
72.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.3%
#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))))
55.1%
#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))))
▶58.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
46.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 620 to 532 computations (14.2% saved)

series53.0ms (1.2%)

Memory
-51.0MiB live, 49.3MiB allocated; 10ms collecting garbage
Counts
32 → 169
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 b) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 a b))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b r)))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 b))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (sqrt b)))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* -1/12 (sqrt (pow b 5))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* 1/240 (sqrt (pow b 3))))))))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (+ (sqrt b) (* (pow b 3) (+ (* -1/12 (sqrt (/ 1 b))) (* (pow b 2) (+ (* -1/288 (sqrt (/ 1 b))) (* 1/240 (sqrt (/ 1 b))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (* (pow (sin b) 1/2) (pow (sin b) 1/2)) #s(hole binary64 (sin b)))
#s(approx (pow (sin b) 1/2) #s(hole binary64 (sqrt (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
Calls

9 calls:

TimeVariablePointExpression
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)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
6.0ms
a
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
5.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
5.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))
4.0ms
b
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (cos (+ a b))) (* r (* (pow (sin b) 1/2) (pow (sin b) 1/2))) (* (pow (sin b) 1/2) (pow (sin b) 1/2)) (pow (sin b) 1/2) 1/2 (cos (+ a b)))

rewrite180.0ms (4.2%)

Memory
5.1MiB live, 143.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval66.0ms (1.5%)

Memory
13.1MiB live, 58.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 416 to 1 707 computations (61.3% saved)

prune54.0ms (1.2%)

Memory
13.5MiB live, 60.5MiB allocated; 2ms collecting garbage
Pruning

62 alts after pruning (62 fresh and 0 done)

PrunedKeptTotal
New36952421
Fresh61016
Picked505
Done000
Total38062442
Accuracy
99.9%
Counts
442 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
26.1%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
58.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
45.7%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.3%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
26.2%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (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 (sin.f64 b) (sin.f64 a))))
36.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
72.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
58.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
22.6%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
▶37.2%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
19.8%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
26.7%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) b)))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.2%
(/.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)))))))
99.2%
(/.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)))))
75.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (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 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))))
73.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
76.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
76.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
83.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
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))))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (*.f64 (pow.f64 (sin.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 a) #s(literal 1/2 binary64))))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64))))))
57.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
54.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
59.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
37.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶17.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
17.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
47.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
54.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
35.6%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
▶19.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
46.1%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
31.2%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
72.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
58.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
36.3%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))))
31.9%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
58.2%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
46.3%
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
53.3%
#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))))
55.1%
#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))))
31.3%
#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)))))))
31.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
31.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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))))
31.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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))))
31.4%
#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))))
▶31.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
Compiler

Compiled 2 066 to 1 888 computations (8.6% saved)

series130.0ms (3%)

Memory
16.7MiB live, 113.0MiB allocated; 11ms collecting garbage
Counts
42 → 222
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
(neg.f64 b)
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64))
(log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(-.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)
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(-.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 (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (* 1/2 (PI)) (+ a b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) #s(hole binary64 (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #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)) (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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* (/ (* a (* r (cos (- (* 1/2 (PI)) b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (* a (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) b)) 2)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* a (+ (* -1 (* (* a (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) b)) 2)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1 (* (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) b)) 2)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) b))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (* (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (- (* (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 (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a)))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))))) (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a)))))) (+ (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (* b (+ (* -1 (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (+ (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (/ (* (cos (- (* 1/2 (PI)) a)) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a)))))) (sin (- (* 1/2 (PI)) a)))))) (* -1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))))))) (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) #s(hole binary64 (* b r)))
#s(approx (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (exp (* (log (- 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 (exp (* (log (- 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 (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) #s(hole binary64 b))
#s(approx (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (exp (* (log (- 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 (exp (* (log (- 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 (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (log b)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (+ (log b) (* -1/6 (pow b 2)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (+ (log b) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (+ (log b) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6)))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* 2 (log b))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (+ (* -1/3 (pow b 2)) (* 2 (log b)))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (+ (* 2 (log b)) (* (pow b 2) (- (* -1/90 (pow b 2)) 1/3)))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (+ (* 2 (log b)) (* (pow b 2) (- (* (pow b 2) (- (* -2/2835 (pow b 2)) 1/90)) 1/3)))))
#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 (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #s(hole binary64 (* b r)))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (* 1/2 (log (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (log (- 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 (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
52.0ms
b
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg b) (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (log (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
21.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg b) (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (log (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
10.0ms
a
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg b) (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (log (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
10.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg b) (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (log (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
8.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg b) (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (log (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2 (sin (+ (neg (+ a b)) (/ (PI) 2))) (+ (neg (+ a b)) (/ (PI) 2)) (neg (+ a b)) (+ a b) (/ (PI) 2) (PI) (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))

rewrite227.0ms (5.2%)

Memory
-16.9MiB live, 173.8MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010267139
010855935
161115935
081605694
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
264 → 494
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
(*.f64 r #s(approx (tan b) b))
#s(approx (tan b) b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
(neg.f64 b)
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64))
(log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(-.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)
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(-.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 (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (* 1/2 (PI)) (+ a b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) #s(hole binary64 (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* (/ r (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #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)) (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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) b))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 a) (* 1/2 (PI))) b)))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* (/ (* a (* r (cos (- (* 1/2 (PI)) b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (* a (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) b)) 2)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* a (+ (* -1 (* (* a (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) b)) 2)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* -1 (* (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) b)) 2)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) b))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (* (/ (* r (cos (- (* 1/2 (PI)) b))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))) (* (/ r (sin (- (* 1/2 (PI)) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (+ a b)) #s(hole binary64 (- (* -1 a) b)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* (/ r (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (- (* (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 (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ a b)))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) (+ 1 (/ b a))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 a)))
#s(approx (neg (+ a b)) #s(hole binary64 (* a (- (* -1 (/ b a)) 1))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #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 (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 a) (* 1/2 (PI))) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (- (* 1/2 (PI)) b) a)))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (+ (* -1 a) (* 1/2 (PI))) b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* a (+ 1 (/ b a))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (* 1/2 (PI)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (- (+ (* -1 b) (* 1/2 (PI))) a)))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) a)))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a)))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))))) (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (+ (* b (+ (* -1 (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a)))))) (+ (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (* b (+ (* -1 (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (+ (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (/ (* (cos (- (* 1/2 (PI)) a)) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a)))))) (sin (- (* 1/2 (PI)) a)))))) (* -1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))))))) (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2)))) (/ r (sin (- (* 1/2 (PI)) a)))))))
#s(approx (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) #s(hole binary64 (* b r)))
#s(approx (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (exp (* (log (- 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 (exp (* (log (- 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 (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) #s(hole binary64 b))
#s(approx (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (exp (* (log (- 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 (exp (* (log (- 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 (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (log b)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (+ (log b) (* -1/6 (pow b 2)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (+ (log b) (* (pow b 2) (- (* -1/180 (pow b 2)) 1/6)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (+ (log b) (* (pow b 2) (- (* (pow b 2) (- (* -1/2835 (pow b 2)) 1/180)) 1/6)))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* 2 (log b))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (+ (* -1/3 (pow b 2)) (* 2 (log b)))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (+ (* 2 (log b)) (* (pow b 2) (- (* -1/90 (pow b 2)) 1/3)))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (+ (* 2 (log b)) (* (pow b 2) (- (* (pow b 2) (- (* -2/2835 (pow b 2)) 1/90)) 1/3)))))
#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 (neg (+ a b)) #s(hole binary64 (- (* -1 b) a)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #s(hole binary64 (* b r)))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* b (- (* 1/2 (/ (PI) b)) (+ 1 (/ a b))))))
#s(approx (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) #s(hole binary64 (* 1/2 (log (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (log (- 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 (neg (+ a b)) #s(hole binary64 (* b (- (* -1 (/ a b)) 1))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))))
#s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) #s(hole binary64 (sin (- (+ (* -1 b) (* 1/2 (PI))) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ (- (* 1/2 (PI)) a) b)))))))
#s(approx (/ (* r (exp (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2))) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (* (/ r (sin (- (+ (* -1 b) (* 1/2 (PI))) a))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (neg (+ a b)) #s(hole binary64 (* -1 (* b (+ 1 (/ a 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 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (+.f64 a (neg.f64 b))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (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 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 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))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))
(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.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 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.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 (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (PI.f64)) a)) (cos.f64 (+.f64 (+.f64 b (PI.f64)) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 b (PI.f64)))) (cos.f64 (+.f64 a (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.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 (+.f64 b (PI.f64)))
(sin.f64 (neg.f64 b))
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(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))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))
(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.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 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.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 (neg.f64 b)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (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 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(*.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))
#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)) (*.f64 (sin.f64 b) r))
#s(approx r 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 (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) r))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) 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 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (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 (tan.f64 b) r)))
#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 #s(literal 1/6 binary64) (/.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (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 (tan.f64 b) 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 (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 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) 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 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (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 (tan.f64 b) r)))
#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 #s(literal 1/6 binary64) (/.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 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (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 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) #s(literal 1/6 binary64))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))))) a) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) r) a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))) a) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))) a (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) #s(literal -1/2 binary64) (fma.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (/.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) r)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))))) a) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))) a (*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))))
#s(approx (neg (+ a b)) (neg.f64 b))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 a) b))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (+.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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (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)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (neg.f64 (*.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))))) a) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))) a (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (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))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) (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) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))) 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)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) a (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))))
#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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 b a)) a))
#s(approx (neg (+ a b)) (neg.f64 a))
#s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a))
#s(approx (+ 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 (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* 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 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b) a)) #s(literal 1 binary64))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 a)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 a) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* 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) (+.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 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 (/.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 b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (+ (* (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) (+.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 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 (/.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 b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (tan b)) (*.f64 b r))
#s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (tan b) b)
#s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (-.f64 (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) b) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal -1/2 binary64))) b (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))
#s(approx (neg b) (neg.f64 b))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64) (neg.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) #s(literal -1/6 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) #s(literal -1/3 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (/.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))) b (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/6 binary64))) (neg.f64 (fma.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) r) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))))))) b (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))))) b (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (*.f64 b r))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b)
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (log.f64 b))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) (log.f64 b)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) (log.f64 b)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2835 binary64) (*.f64 b b)) #s(literal 1/180 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) (log.f64 b)))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) (fma.f64 (-.f64 (*.f64 #s(literal -1/90 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b) (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/2835 binary64) (*.f64 b b)) #s(literal 1/90 binary64)) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b) (*.f64 (log.f64 b) #s(literal 2 binary64))))
#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 (neg (+ a b)) (-.f64 (neg.f64 b) a))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64) (neg.f64 (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 (/.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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (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 -1/6 binary64) (neg.f64 (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) (/.f64 (*.f64 (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))))) b (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64))) (neg.f64 (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 (/.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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (*.f64 b r))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b)
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (+ (* (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 (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (tan b) (tan.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (* 2 b))))) 1/2) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 b))) #s(literal 1/2 binary64)))
#s(approx (log (- 1/2 (* 1/2 (cos (* 2 b))))) (*.f64 #s(literal 2 binary64) (log.f64 (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 (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sqrt.f64 (-.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)))) (/.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) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a)))
#s(approx (+ (neg (+ a b)) (/ (PI) 2)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 b)) a))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (neg (+ a b)) (*.f64 (neg.f64 b) (+.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval58.0ms (1.3%)

Memory
-1.0MiB live, 90.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 6 133 to 2 140 computations (65.1% saved)

prune66.0ms (1.5%)

Memory
7.3MiB live, 108.4MiB allocated; 6ms collecting garbage
Pruning

77 alts after pruning (74 fresh and 3 done)

PrunedKeptTotal
New41627443
Fresh104757
Picked235
Done000
Total42877505
Accuracy
99.9%
Counts
505 → 77
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
58.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
45.7%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.3%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
26.2%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (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 (sin.f64 b) (sin.f64 a))))
36.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
72.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
58.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
22.6%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
37.1%
(/.f64 (*.f64 r (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 b b)) #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)))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
37.2%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
27.3%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
19.1%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.2%
(/.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)))))))
99.2%
(/.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
75.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (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 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))))
73.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
76.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
76.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
▶83.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
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))))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (*.f64 (pow.f64 (sin.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 a) #s(literal 1/2 binary64))))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64))))))
57.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
54.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
59.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
37.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓17.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
17.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
50.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
47.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
▶55.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
54.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
▶35.6%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
19.4%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
19.3%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
19.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
20.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
14.3%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
14.6%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
20.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
13.5%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
46.1%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
31.2%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
27.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
7.4%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
72.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
58.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
31.9%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
19.2%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
26.7%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
19.8%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))))
46.3%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
36.3%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
58.2%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
53.3%
#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))))
55.1%
#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))))
31.3%
#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)))))))
31.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
31.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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))))
31.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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))))
▶31.4%
#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))))
✓31.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
Compiler

Compiled 2 812 to 2 563 computations (8.9% saved)

series81.0ms (1.9%)

Memory
-19.1MiB live, 117.9MiB allocated; 9ms collecting garbage
Counts
40 → 206
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
(*.f64 r #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 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (fabs.f64 (sin.f64 b)))
(fabs.f64 (sin.f64 b))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.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 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(-.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)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (sin b))) (cos (+ a b)))))
#s(approx (* r (fabs (sin b))) #s(hole binary64 (* r (fabs (sin 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 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #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 a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #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 a) (cos b)) #s(hole binary64 (cos b)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (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 (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (sin b))) (cos b))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (* (fabs (sin b)) (sin b)))) (pow (cos b) 2)) (/ (* r (fabs (sin b))) (cos b)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos b)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))))) (/ (* r (fabs (sin b))) (cos b)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos b)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))))) (/ (* r (fabs (sin b))) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (+ (* (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 a) (sin b)) (cos b)) #s(hole binary64 (cos b)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (+ (* (/ (* a (* r (sin b))) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (- 1/2 (* 1/2 (cos (* 2 b)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (+ (* 1/6 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* (/ (+ (* -1 (/ (* r (* (sin b) (- 1/2 (* 1/2 (cos (* 2 b)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))) (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (+ (* -1 (/ (* r (* (sin b) (- 1/2 (* 1/2 (cos (* 2 b)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (* -1/6 (* (pow a 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (* (pow a 2) (+ (* -1/6 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* 1/120 (* (pow a 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (* (pow a 2) (+ (* -1/6 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* 1/120 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos 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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* (sin a) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #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 a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #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 a) (cos b)) #s(hole binary64 (cos a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (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 (* 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 (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (sin b))) (cos a))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (/ (* b (* r (* (fabs (sin b)) (sin a)))) (pow (cos a) 2)) (/ (* r (fabs (sin b))) (cos a)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin a) 2))) (pow (cos a) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos a)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))))) (/ (* r (fabs (sin b))) (cos a)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin a) 2))) (pow (cos a) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin a) 2))) (pow (cos a) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos a)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))))) (/ (* r (fabs (sin b))) (cos a)))))
#s(approx (fabs (sin b)) #s(hole binary64 (fabs (sin 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 (/ (* 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 a) (sin b)) (cos b)) #s(hole binary64 1))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#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 (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 (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 (* 1/3 (pow b 3))))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/3 (/ 1 (pow b 2))))))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 (* 1/3 (pow b 2))))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 (* (pow b 2) (+ 1/3 (/ 1 (pow b 2))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (sqrt (- 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 (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (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
27.0ms
b
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (* (+ (* 1/3 (* b b)) 1) b) (+ (* 1/3 (* b b)) 1) 1/3 (* b b) 1 (/ (* r (fabs (sin b))) (cos (+ a b))) (* r (fabs (sin b))) (fabs (sin b)) (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 a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2)
7.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (* (+ (* 1/3 (* b b)) 1) b) (+ (* 1/3 (* b b)) 1) 1/3 (* b b) 1 (/ (* r (fabs (sin b))) (cos (+ a b))) (* r (fabs (sin b))) (fabs (sin b)) (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 a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2)
7.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (* (+ (* 1/3 (* b b)) 1) b) (+ (* 1/3 (* b b)) 1) 1/3 (* b b) 1 (/ (* r (fabs (sin b))) (cos (+ a b))) (* r (fabs (sin b))) (fabs (sin b)) (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 a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2)
6.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (* (+ (* 1/3 (* b b)) 1) b) (+ (* 1/3 (* b b)) 1) 1/3 (* b b) 1 (/ (* r (fabs (sin b))) (cos (+ a b))) (* r (fabs (sin b))) (fabs (sin b)) (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 a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2)
6.0ms
b
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (* (+ (* 1/3 (* b b)) 1) b) (+ (* 1/3 (* b b)) 1) 1/3 (* b b) 1 (/ (* r (fabs (sin b))) (cos (+ a b))) (* r (fabs (sin b))) (fabs (sin b)) (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 a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (- 1/2 (* 1/2 (cos (* 2 b)))) 1/2 (* 1/2 (cos (* 2 b))) (cos (* 2 b)) (* 2 b) 2)

rewrite208.0ms (4.8%)

Memory
31.4MiB live, 160.6MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08086123
08674866
145944733
087244525
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
246 → 528
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
(*.f64 r #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 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(*.f64 b b)
#s(literal 1 binary64)
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (fabs.f64 (sin.f64 b)))
(fabs.f64 (sin.f64 b))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.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 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))
(-.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(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (sin b))) (cos (+ a b)))))
#s(approx (* r (fabs (sin b))) #s(hole binary64 (* r (fabs (sin 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 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #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 a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #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 a) (cos b)) #s(hole binary64 (cos b)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (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 (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (sin b))) (cos b))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (* (fabs (sin b)) (sin b)))) (pow (cos b) 2)) (/ (* r (fabs (sin b))) (cos b)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos b)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))))) (/ (* r (fabs (sin b))) (cos b)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin b) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos b)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin b))) (pow (cos b) 2))))) (/ (* r (fabs (sin b))) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (+ (* (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 a) (sin b)) (cos b)) #s(hole binary64 (cos b)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (+ (* (/ (* a (* r (sin b))) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (- 1/2 (* 1/2 (cos (* 2 b)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (+ (* 1/6 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* (/ (+ (* -1 (/ (* r (* (sin b) (- 1/2 (* 1/2 (cos (* 2 b)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))) (cos b)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))) (+ (* -1 (/ (* r (* (sin b) (- 1/2 (* 1/2 (cos (* 2 b)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (* (/ (* r (sin b)) (pow (cos b) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (* -1/6 (* (pow a 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (* (pow a 2) (+ (* -1/6 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* 1/120 (* (pow a 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* a (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (* (pow a 2) (+ (* -1/6 (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))) (* 1/120 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos 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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* (sin a) (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #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 a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #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 a) (cos b)) #s(hole binary64 (cos a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (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 (* 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 (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (sin b))) (cos a))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (/ (* b (* r (* (fabs (sin b)) (sin a)))) (pow (cos a) 2)) (/ (* r (fabs (sin b))) (cos a)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin a) 2))) (pow (cos a) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos a)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))))) (/ (* r (fabs (sin b))) (cos a)))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin a) 2))) (pow (cos a) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (* (fabs (sin b)) (pow (sin a) 2))) (pow (cos a) 3))) (* -1/2 (/ (* r (fabs (sin b))) (cos a)))))) (* -1 (/ (* r (* (fabs (sin b)) (sin a))) (pow (cos a) 2))))) (/ (* r (fabs (sin b))) (cos a)))))
#s(approx (fabs (sin b)) #s(hole binary64 (fabs (sin 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 (/ (* 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 a) (sin b)) (cos b)) #s(hole binary64 1))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#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 (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 (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 (* 1/3 (pow b 3))))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) #s(hole binary64 (* (pow b 3) (+ 1/3 (/ 1 (pow b 2))))))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 (* 1/3 (pow b 2))))
#s(approx (+ (* 1/3 (* b b)) 1) #s(hole binary64 (* (pow b 2) (+ 1/3 (/ 1 (pow b 2))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) #s(hole binary64 (sqrt (- 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 (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* r (fabs (sin b))) (cos (+ a b))) #s(hole binary64 (/ (* r (fabs (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 (*.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 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b)))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
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(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
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(sin.f64 b)
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(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
b
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(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 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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)
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a
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(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))))
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(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
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(/.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 (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 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
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(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)))
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(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
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#s(approx (tan b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b)
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(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) b))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) #s(literal 1/3 binary64))))
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(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 (*.f64 b b) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 (*.f64 b b) #s(literal 1/3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal 1 binary64)))
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(fma.f64 (*.f64 #s(literal 1/3 binary64) b) b #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 b b)))
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#s(literal 1/3 binary64)
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
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(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
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(pow.f64 b #s(literal 2 binary64))
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(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(literal 1 binary64)
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(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 #s(approx (+ a b) b))))
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(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(*.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b)))
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(*.f64 (sin.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 b))
(pow.f64 (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))
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(sin.f64 b)
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(fabs.f64 (neg.f64 (neg.f64 (sin.f64 b))))
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(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(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))))
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(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) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 b) a) #s(literal 3 binary64))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 b) a) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b))))))
(fma.f64 (*.f64 (sin.f64 b) a) #s(literal -1 binary64) (cos.f64 b))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(fma.f64 (sin.f64 b) (neg.f64 a) (cos.f64 b))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) a) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) a)))
(+.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b))
(+.f64 (cos.f64 b) (*.f64 (neg.f64 a) (sin.f64 b)))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #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 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (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 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.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 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.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 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (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 (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 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (sin.f64 b)) (sqrt.f64 (sin.f64 b)))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 b))
(pow.f64 (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))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 b b)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (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)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 #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)))
(sin.f64 b)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 b))))
(fabs.f64 (neg.f64 (sin.f64 b)))
(fabs.f64 (sin.f64 b))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)) #s(literal 2 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 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 b))) (exp.f64 (log.f64 (sin.f64 b))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (sin.f64 b))))
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 b)))
(*.f64 (sin.f64 b) (sin.f64 b))
(pow.f64 (exp.f64 (log.f64 (sin.f64 b))) #s(literal 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 1/2 binary64))
(pow.f64 (neg.f64 (sin.f64 b)) #s(literal 2 binary64))
(pow.f64 (sin.f64 b) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 b) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (neg.f64 b) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (PI.f64)) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (+.f64 b (PI.f64)) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b b)) (cos.f64 (+.f64 b b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (neg.f64 b))) (cos.f64 (+.f64 (neg.f64 b) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 b) (+.f64 b (PI.f64)))) (cos.f64 (+.f64 (neg.f64 b) (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 (+.f64 b (PI.f64)) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (PI.f64)) (+.f64 b (PI.f64)))) (cos.f64 (+.f64 (+.f64 b (PI.f64)) (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.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))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 b b)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (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))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))
(sqrt.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)))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)))
(fabs.f64 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 b b))))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 b b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 b b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 b b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 b b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.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))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 b b))))
(cos.f64 (neg.f64 (+.f64 b b)))
(cos.f64 (+.f64 b b))
(+.f64 (*.f64 (sin.f64 (+.f64 b b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 b b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
(+.f64 b b)
#s(literal 2 binary64)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (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 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (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)) (sin.f64 b) (*.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)))) 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 (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 (tan.f64 b) r)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (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 a) (cos b)) (cos.f64 b))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (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 a) (cos b)) (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 (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (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 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (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)) (sin.f64 b) (*.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)))) 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 (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 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (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 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (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)) (sin.f64 b) (*.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)))) 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 (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 (tan.f64 b) r)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (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 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (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)) (sin.f64 b) (*.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)))) 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 (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 (tan.f64 b) r)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (+ (* (neg a) (sin b)) (cos b)) (cos.f64 b))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (neg a) (neg.f64 a))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (/.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)))) (sin.f64 b) (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (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 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (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 (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)) (sin.f64 b) (*.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)))) 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 (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 (tan.f64 b) r)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (* (cos a) (cos b)) (cos.f64 b))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (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 a) (cos b)) (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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/6 binary64) (sin.f64 b)) a))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (+.f64 (/.f64 (cos.f64 b) a) (neg.f64 (sin.f64 b))) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (cos.f64 b) a)) (sin.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (*.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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b)
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #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 #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 a) (cos b)) (cos.f64 a))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (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 a) (cos b)) (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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (tan b)) (*.f64 b r))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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 (*.f64 b b) #s(literal 1/3 binary64) #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 (* (+ (* 1/3 (* b b)) 1) b) b)
#s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))
#s(approx (+ (* 1/3 (* b b)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/3 (* b b)) 1) (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 b (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 a)) (+.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) (fma.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 a))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))))) (fma.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 a) (sin b)) (cos b)) #s(literal 1 binary64))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (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 a) (cos b)) (cos.f64 a))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (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 a) (cos b)) (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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (* (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b)
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (sqrt (- 1/2 (* 1/2 (cos (* 2 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 (- 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 (*.f64 b b) #s(literal 1/3 binary64)) #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 (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (sin.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (cos b) (cos.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64)))
#s(approx (* (+ (* 1/3 (* b b)) 1) b) (fma.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64) b))
#s(approx (+ (* 1/3 (* b b)) 1) (*.f64 (*.f64 b b) #s(literal 1/3 binary64)))
#s(approx (+ (* 1/3 (* b b)) 1) (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) (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 (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval59.0ms (1.4%)

Memory
30.9MiB live, 76.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 396 to 2 260 computations (58.1% saved)

prune94.0ms (2.2%)

Memory
-43.8MiB live, 100.9MiB allocated; 26ms collecting garbage
Pruning

95 alts after pruning (89 fresh and 6 done)

PrunedKeptTotal
New49130521
Fresh105969
Picked235
Done033
Total50395598
Accuracy
99.9%
Counts
598 → 95
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
72.7%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
58.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
55.1%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
45.7%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
16.3%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
26.2%
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 #s(approx (+ a b) b)))
37.2%
(/.f64 (*.f64 r (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 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 (sin.f64 b) (sin.f64 a))))
36.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
72.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
58.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
22.6%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
38.6%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
37.2%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
25.9%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
27.3%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
19.1%
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.0%
(/.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 a) (cos.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (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 b))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
59.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.2%
(/.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 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
99.2%
(/.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)))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
83.5%
(/.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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
75.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (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 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))))
73.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
76.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
76.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
83.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.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))))) (sin.f64 a))))
83.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (sin.f64 a))))
73.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) (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))))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (*.f64 (pow.f64 (sin.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 a) #s(literal 1/2 binary64))))))
50.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64))))))
57.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
54.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
58.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
50.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
59.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
52.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
37.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓17.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
17.1%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
47.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
32.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (cos.f64 b))))
54.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.f64 b)))))
31.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
36.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
54.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
28.2%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
37.9%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
33.6%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
✓35.6%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
35.3%
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
23.4%
(/.f64 (*.f64 r (fabs.f64 #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b))) (cos.f64 #s(approx (+ a b) b)))
19.4%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
19.3%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
19.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
20.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
14.3%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
13.5%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
46.1%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
27.4%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
7.4%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
72.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
58.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
19.2%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
26.7%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
19.8%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b)))))
46.3%
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
47.6%
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 b (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
50.2%
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
58.2%
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
36.3%
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
53.3%
#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))))
55.1%
#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))))
31.3%
#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)))))))
31.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
31.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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))))
31.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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))))
✓31.4%
#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))))
14.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
14.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
✓31.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
Compiler

Compiled 3 187 to 2 262 computations (29% saved)

regimes193.0ms (4.5%)

Memory
25.5MiB live, 130.5MiB allocated; 97ms collecting garbage
Counts
131 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.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 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.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 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (cos.f64 b))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.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))))
(/.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 a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) (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 (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
#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 (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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (sin.f64 a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) (-.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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 b (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (sin.f64 a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))) (*.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) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (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 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (neg.f64 a) (sin.f64 b)) (cos.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))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (*.f64 (pow.f64 (sin.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 a) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (*.f64 (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 a) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 b) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 b) #s(literal 1/2 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.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))))) (sin.f64 a))))
(/.f64 (*.f64 r (/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sqrt.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (+.f64 b b)) #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)))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (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 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (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 b))))
(/.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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.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)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
Calls

4 calls:

92.0ms
r
34.0ms
a
31.0ms
b
30.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes133.0ms (3.1%)

Memory
4.3MiB live, 99.1MiB allocated; 15ms collecting garbage
Counts
99 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.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 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.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 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (cos.f64 b))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.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))))
(/.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 a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) (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 (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
#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 (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))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
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:

51.0ms
a
29.0ms
r
24.0ms
b
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1a
99.5%1b
99.5%1r
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes106.0ms (2.5%)

Memory
-42.6MiB live, 103.4MiB allocated; 11ms collecting garbage
Counts
98 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.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 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.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 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (cos.f64 b))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.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))))
(/.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 a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) (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 (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
#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 (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:

27.0ms
a
27.0ms
b
24.0ms
r
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%1a
99.4%1r
99.4%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes101.0ms (2.3%)

Memory
42.6MiB live, 134.5MiB allocated; 5ms collecting garbage
Counts
96 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.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 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.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 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (cos.f64 b))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.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))))
(/.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 a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) (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 (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
#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)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) (sin.f64 a))))
Calls

4 calls:

26.0ms
a
24.0ms
r
23.0ms
b
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
73.8%1a
73.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
73.8%1r
73.8%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes94.0ms (2.2%)

Memory
-7.6MiB live, 135.3MiB allocated; 10ms collecting garbage
Counts
86 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.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 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.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 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (sin.f64 (+.f64 #s(approx (+ a b) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (cos.f64 b)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (/.f64 r (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64)))) (/.f64 r (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a) 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 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) #s(approx (pow (sin b) 1/2) (sqrt.f64 b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 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)) (cos.f64 b))))
(/.f64 (*.f64 r (pow.f64 (sqrt.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos 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 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (neg (+ a b)) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (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)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.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)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 b b)) #s(literal 1/2 binary64))))) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.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))))
(/.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 a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

4 calls:

24.0ms
b
22.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
22.0ms
a
21.0ms
r
Results
AccuracySegmentsBranch
72.7%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
72.7%1r
72.7%1a
72.7%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes40.0ms (0.9%)

Memory
13.3MiB live, 60.3MiB allocated; 1ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 #s(approx (sqrt (- 1/2 (* 1/2 (cos (* 2 b))))) b))) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
#s(approx (/ (* r (sqrt (- 1/2 (* 1/2 (cos (* 2 b)))))) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.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 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 b))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 b)))) (*.f64 b b))) #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.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 r (/.f64 (sin.f64 b) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 r (fabs.f64 (sin.f64 b))) (cos.f64 #s(approx (+ a b) b)))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

10.0ms
r
9.0ms
b
9.0ms
a
9.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
72.3%3a
61.9%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
58.2%1r
73.0%3b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes16.0ms (0.4%)

Memory
-26.4MiB live, 25.9MiB allocated; 2ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (+ (* (neg a) (sin b)) (cos b)) #s(literal 1 binary64))))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

5.0ms
b
3.0ms
a
3.0ms
r
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
58.2%1r
58.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
58.2%1a
58.2%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes9.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Accuracy

Total -17.5b remaining (-40.1%)

Threshold costs -17.5b (-40.1%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) #s(approx (* (+ (* 1/3 (* b b)) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal 1/3 binary64))))))
#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 r #s(approx (tan b) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/3 binary64)) (*.f64 b b)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #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))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) b)))
Calls

4 calls:

2.0ms
r
2.0ms
b
2.0ms
a
2.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
31.7%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
31.7%1a
31.7%1r
31.7%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch48.0ms (1.1%)

Memory
-22.0MiB live, 69.3MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
2.1910109276402474e-13
1.3611029074079933e-5
19.0ms
-0.0040136637170798475
-6.62497975848502e-9
Samples
20.0ms147×1valid
14.0ms141×0valid
Compiler

Compiled 516 to 554 computations (-7.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 8.0ms (40.3% of total)
adjust: 4.0ms (20.2% of total)
ival-sin: 3.0ms (15.1% of total)
ival-div!: 2.0ms (10.1% of total)
ival-mult!: 2.0ms (10.1% of total)
ival-add!: 1.0ms (5% of total)

derivations240.0ms (5.6%)

Memory
-7.9MiB live, 135.7MiB allocated; 37ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 84 to 62 computations (26.2% saved)

preprocess80.0ms (1.8%)

Memory
38.3MiB live, 130.6MiB allocated; 8ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 346 to 312 computations (9.8% saved)

end0.0ms (0%)

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

Profiling

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