rsin A (should all be same)

Time bar (total: 6.2s)

start0.0ms (0%)

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

analyze261.0ms (4.2%)

Memory
8.2MiB live, 391.1MiB allocated; 60ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (23.4%)

Memory
53.3MiB live, 1 582.6MiB allocated; 376ms collecting garbage
Samples
988.0ms6 014×1valid
160.0ms2 242×0valid
Precisions
Click to see histograms. Total time spent on operations: 773.0ms
ival-cos: 278.0ms (36% of total)
ival-sin: 199.0ms (25.7% of total)
adjust: 123.0ms (15.9% of total)
ival-div!: 87.0ms (11.3% of total)
ival-mult!: 45.0ms (5.8% of total)
ival-add!: 40.0ms (5.2% of total)
Bogosity

preprocess54.0ms (0.9%)

Memory
-17.3MiB live, 25.7MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03895
117293
267093
3292793
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 16 to 16 computations (0% saved)

series16.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB 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)

rewrite576.0ms (9.2%)

Memory
-19.7MiB live, 199.0MiB allocated; 752ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228937
0235899
11529840
08141806
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
50 → 94
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 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.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 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (*.f64 (*.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 (*.f64 #s(literal 1 binary64) a))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal 1 binary64) a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 (neg.f64 a)))))
(-.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 (-.f64 (neg.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 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 #s(literal 1 binary64) a)))))
(/.f64 (fma.f64 (*.f64 b b) b (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b (neg.f64 (neg.f64 a))))))
(/.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 (-.f64 (*.f64 b b) (*.f64 a a))) (neg.f64 (+.f64 b (neg.f64 a))))
(/.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 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 a a) (neg.f64 a)))) (neg.f64 (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b (neg.f64 a)))
(/.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 (*.f64 b b) b) (*.f64 (*.f64 a a) (neg.f64 a))) (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a)))))
(neg.f64 (-.f64 (neg.f64 a) b))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (neg.f64 a))) (/.f64 (*.f64 a a) (+.f64 b (neg.f64 a))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a))))) (/.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a))))))
(-.f64 b (neg.f64 a))
(+.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 (*.f64 #s(literal 1 binary64) a))
(+.f64 b (neg.f64 (neg.f64 a)))
(+.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 a b))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#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 (+.f64 (-.f64 (neg.f64 (*.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) (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)))) b)) (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))))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) r) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 a))) 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 (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 (sin b) (*.f64 (fma.f64 (fma.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 (neg.f64 b) a))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 (neg.f64 b) a)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval49.0ms (0.8%)

Memory
-27.3MiB live, 18.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 913 to 443 computations (51.5% saved)

prune14.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New612485
Fresh000
Picked101
Done000
Total622486
Accuracy
99.8%
Counts
86 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
70.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
30.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
▶56.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
55.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) a)))
47.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
46.4%
(/.f64 (*.f64 r (sin.f64 b)) #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))))
46.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
44.9%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
45.3%
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
70.0%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
70.1%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
70.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
▶45.0%
#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))
▶55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
45.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 688 to 614 computations (10.8% saved)

series115.0ms (1.8%)

Memory
-28.1MiB live, 75.5MiB allocated; 17ms collecting garbage
Counts
38 → 184
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 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
(*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b)
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))
(*.f64 (sin.f64 a) r)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))
(cos.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* r (sin a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a r)))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a r)))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* -1/6 (* (pow a 2) r))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r))))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* -1 (pow a 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* -1 (pow a 2)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (cos (* 2 a)) #s(hole binary64 1))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* -2 (pow a 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 2/3 (pow a 2)) 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 2/3 (* -4/45 (pow a 2)))) 2)))))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 1))
#s(approx (+ (/ b a) 1) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 a))))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (* 1/2 (cos (* 2 a)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (cos (* 2 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
Calls

9 calls:

TimeVariablePointExpression
50.0ms
a
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)))
11.0ms
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) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)))
10.0ms
b
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)))
10.0ms
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) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)))
7.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)))

rewrite230.0ms (3.7%)

Memory
2.0MiB live, 192.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07264884
07804325
147514278
083204088
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
222 → 440
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 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(/.f64 b a)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
(*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b)
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))
(*.f64 (sin.f64 a) r)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))
(cos.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 r (cos.f64 a))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* r (sin a))))
#s(approx (/ r (cos a)) #s(hole binary64 (/ r (cos a))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 b))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ b a)))
#s(approx (+ (/ b a) 1) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a r)))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (* -1/6 r) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) #s(hole binary64 (* a (+ r (* (pow a 2) (- (+ (* -1/6 r) (* (pow a 2) (- (+ (* 1/120 r) (* (pow a 2) (- (* -1/5040 r) (+ (* -1 (- (* 1/120 r) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r)))) (+ (* -2/45 r) (* 1/3 (- (* -1/6 r) (* -1 r)))))))) (+ (* -1 (- (* -1/6 r) (* -1 r))) (* 1/3 r))))) (* -1 r)))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a r)))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* -1/6 (* (pow a 2) r))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* 1/120 (* (pow a 2) r))))))))
#s(approx (* (sin a) r) #s(hole binary64 (* a (+ r (* (pow a 2) (+ (* -1/6 r) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) r)) (* 1/120 r)))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 1))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* -1 (pow a 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* -1 (pow a 2)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (+ 1/2 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))))
#s(approx (cos (* 2 a)) #s(hole binary64 1))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* -2 (pow a 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 2/3 (pow a 2)) 2)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 2/3 (* -4/45 (pow a 2)))) 2)))))
#s(approx (* 2 a) #s(hole binary64 (* 2 a)))
#s(approx (/ r (cos a)) #s(hole binary64 r))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* 1/2 (* (pow a 2) r)))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (/ r (cos a)) #s(hole binary64 (+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 a))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 1))
#s(approx (+ (/ b a) 1) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 a))))))
#s(approx (* 1/2 (cos (* 2 a))) #s(hole binary64 (* 1/2 (cos (* 2 a)))))
#s(approx (cos (* 2 a)) #s(hole binary64 (cos (* 2 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b r)))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 1/3 (* (pow b 2) r))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 2/15 (* (pow b 2) r)) (* 1/3 r)))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* 1/3 r) (* (pow b 2) (+ (* 17/315 (* (pow b 2) r)) (* 2/15 r)))))))))
#s(approx (tan b) #s(hole binary64 b))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (/ b a) 1) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (+ (/ b a) 1) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (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))) (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))) (+.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))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.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)))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (*.f64 #s(literal 1 binary64) a))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal 1 binary64) a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 (neg.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 (-.f64 (neg.f64 a) b))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.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 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 b) a))) #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 a b))) #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 (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 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(pow.f64 (cos.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.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) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(exp.f64 (*.f64 (log.f64 (cos.f64 b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
a
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(pow.f64 (sin.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64)))
(sin.f64 a)
(exp.f64 (*.f64 (log.f64 (sin.f64 a)) #s(literal 1 binary64)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(*.f64 r (tan.f64 b))
(pow.f64 (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
(pow.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1 binary64))
(/.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 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.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 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
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(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.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))))
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(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 a) (cos.f64 b) (neg.f64 (*.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)))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
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(-.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 (-.f64 (neg.f64 a) b))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
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(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
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(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b (neg.f64 a)))
(/.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 (*.f64 b b) b) (*.f64 (neg.f64 a) (*.f64 a a))) (fma.f64 b b (fma.f64 a a (*.f64 b (neg.f64 a)))))
(neg.f64 (-.f64 (neg.f64 a) b))
(-.f64 b (neg.f64 a))
(+.f64 a b)
(+.f64 b (neg.f64 (neg.f64 a)))
(+.f64 b (*.f64 #s(literal 1 binary64) a))
(+.f64 b a)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(pow.f64 (/.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))))
(cos.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
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#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
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(*.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 b a) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 b a)))
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(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(neg.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(+.f64 (/.f64 b a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 b a)
#s(literal 1 binary64)
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(*.f64 b (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
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(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b))
(fma.f64 b (/.f64 r (cos.f64 a)) (*.f64 b (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 r (cos.f64 a)) b) (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b))
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(/.f64 (fma.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 r (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 r (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
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(neg.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 r (cos.f64 a))))
(fma.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a)))
(fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) b (/.f64 r (cos.f64 a)))
(fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a)))
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(*.f64 r (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) r)) #s(literal -1 binary64))
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(/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 a) r)))
(*.f64 (sin.f64 a) r)
(*.f64 r (sin.f64 a))
(*.f64 (fabs.f64 (cos.f64 a)) (fabs.f64 (cos.f64 a)))
(*.f64 (exp.f64 (log.f64 (cos.f64 a))) (exp.f64 (log.f64 (cos.f64 a))))
(*.f64 (neg.f64 (cos.f64 a)) (neg.f64 (cos.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 a))
(pow.f64 (exp.f64 (log.f64 (cos.f64 a))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) a)) (cos.f64 (-.f64 (neg.f64 a) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 a))) (cos.f64 (-.f64 a (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
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(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a a)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 a a))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64))))
(+.f64 (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
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(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a a))))
(cos.f64 (neg.f64 (+.f64 a a)))
(cos.f64 (+.f64 a a))
(+.f64 (*.f64 (sin.f64 (+.f64 a a)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a a)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(+.f64 a a)
#s(literal 2 binary64)
(*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)))
(pow.f64 (/.f64 (cos.f64 a) r) #s(literal -1 binary64))
(/.f64 (neg.f64 r) (neg.f64 (cos.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r))
(/.f64 r (cos.f64 a))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* (sin b) r) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (*.f64 b r) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (sin a) r) (*.f64 (sin.f64 a) r))
#s(approx (/ r (cos a)) (/.f64 r (cos.f64 a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 b r) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (neg.f64 r) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.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 (fma.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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* (+ (/ b a) 1) a) b)
#s(approx (* (+ (/ b a) 1) a) (+.f64 a b))
#s(approx (+ (/ b a) 1) (/.f64 b a))
#s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b r))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 b r) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) r)) b) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b r) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) r)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 b r)) a r))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 a r))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) r) (neg.f64 r)) (*.f64 a a) r) a))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 a a) (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) r) (neg.f64 r))))) (*.f64 #s(literal -1/6 binary64) r)) (neg.f64 r)) (*.f64 a a) r) a))
#s(approx (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) r) (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) r) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) r) (neg.f64 r))))))) (fma.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) r) (neg.f64 r)) (*.f64 #s(literal -2/45 binary64) r))) (*.f64 a a) (*.f64 #s(literal 1/120 binary64) r)) (fma.f64 #s(literal 1/3 binary64) r (neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) r) (neg.f64 r))))) (*.f64 a a) (*.f64 #s(literal -1/6 binary64) r)) (neg.f64 r)) (*.f64 a a) r) a))
#s(approx (* (sin a) r) (*.f64 a r))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (*.f64 (*.f64 a a) r) #s(literal -1/6 binary64) r) a))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 a a) r) a))
#s(approx (* (sin a) r) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 a a) r) a))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (+.f64 (neg.f64 (*.f64 a a)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 a))) (+.f64 (neg.f64 (*.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 a)) #s(literal 1 binary64))
#s(approx (cos (* 2 a)) (fma.f64 #s(literal -2 binary64) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (* 2 a)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 a a) #s(literal -2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos (* 2 a)) (fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 a a) #s(literal 2/3 binary64)) (*.f64 a a) #s(literal -2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (* 2 a) (+.f64 a a))
#s(approx (/ r (cos a)) r)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (neg.f64 (*.f64 a a)) (*.f64 r #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (/ r (cos a)) (fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (*.f64 a a)) (fma.f64 #s(literal -1/720 binary64) r (fma.f64 #s(literal 1/48 binary64) r (*.f64 (*.f64 r #s(literal -5/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 r #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (+ (/ b a) 1) a) a)
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (/ b a) 1) #s(literal 1 binary64))
#s(approx (+ (/ b a) 1) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 a))) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 a)) (cos.f64 (+.f64 a a)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (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 (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx b b)
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/2 binary64)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/720 binary64)) (cos.f64 a) (*.f64 #s(literal 1/24 binary64) (cos.f64 a))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) #s(literal 1 binary64))
#s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.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 (fma.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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (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 b) r) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 a))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a)))
#s(approx (sin b) (sin.f64 b))
#s(approx (cos b) (cos.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (/ b a) 1) (fma.f64 (/.f64 #s(literal 1 binary64) a) b #s(literal 1 binary64)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) (sin.f64 a)) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (cos.f64 (-.f64 (neg.f64 b) a)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (* (+ (/ b a) 1) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 r) (*.f64 (cos.f64 a) b)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))

eval49.0ms (0.8%)

Memory
13.9MiB live, 57.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 412 to 2 005 computations (54.6% saved)

prune56.0ms (0.9%)

Memory
5.0MiB live, 108.3MiB allocated; 12ms collecting garbage
Pruning

62 alts after pruning (61 fresh and 1 done)

PrunedKeptTotal
New33955394
Fresh13619
Picked415
Done000
Total35662418
Accuracy
99.9%
Counts
418 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))))
✓70.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
56.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
55.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
48.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
▶44.9%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
45.3%
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 a))))
▶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))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (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))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.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))))))
57.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶35.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
33.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
55.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) a))))
40.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
47.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
46.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a))))
47.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
45.5%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
▶45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
46.2%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
70.0%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
70.1%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
70.1%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
70.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.1%
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
55.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
44.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
22.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
29.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
45.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
33.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
▶29.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
30.7%
#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)))))))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
55.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
30.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
29.2%
#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))))
29.2%
#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))))
29.3%
#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))))
28.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
29.2%
#s(approx (/ (* r (sin b)) (cos (+ a 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)))
29.2%
#s(approx (/ (* r (sin b)) (cos (+ a 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)))
29.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 2 240 to 2 040 computations (8.9% saved)

series65.0ms (1%)

Memory
-9.0MiB live, 127.5MiB allocated; 16ms collecting garbage
Counts
42 → 230
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a 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 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r #s(approx (sin b) (*.f64 (fma.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 (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (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 (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (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 (- (* (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 (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (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 (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (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 (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (- (* 1/120 (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 (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* 1/120 (pow b 5))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* 1/120 (pow b 4))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (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)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
8.0ms
r
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (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)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
8.0ms
a
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (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)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
7.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (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)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
6.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (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)) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) (sin b) (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (+ (* (* b b) 1/120) -1/6) 1/120 (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))

rewrite191.0ms (3.1%)

Memory
40.6MiB live, 226.0MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08937068
09456209
157745886
083475650
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
272 → 574
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a 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 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r #s(approx (sin b) (*.f64 (fma.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 (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx a #s(hole binary64 a))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos b)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))
#s(approx (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 (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (cos b)))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (sin b))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (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 (- (* (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 (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (neg (+ a b)) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))))
#s(approx (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 (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (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 (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6)))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (- (* 1/120 (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 (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* 1/120 (pow b 5))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* (pow b 5) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* 1/120 (pow b 4))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(hole binary64 (* (pow b 4) (- (+ 1/120 (/ 1 (pow b 4))) (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* 1/120 (pow b 2))))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(hole binary64 (* (pow b 2) (- 1/120 (* 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) 1/120)))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) #s(hole binary64 (* -1 (* (pow b 5) (- (* 1/6 (/ 1 (pow b 2))) (+ 1/120 (/ 1 (pow b 4))))))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.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 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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 b) (cos.f64 a)) #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 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(neg.f64 (sin.f64 (-.f64 b (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(neg.f64 (sin.f64 (-.f64 (+.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a))
(sin.f64 (+.f64 a (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (+.f64 a b) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b))
(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 (-.f64 (neg.f64 a) b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))
(fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))))
(neg.f64 (-.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (cos.f64 (-.f64 a (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (+.f64 a b))) #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 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (-.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))
(*.f64 (sin.f64 a) #s(approx (sin b) (*.f64 (fma.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 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (*.f64 b r) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (sin b) r) (*.f64 (sin.f64 b) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (neg.f64 (*.f64 (*.f64 b r) (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 a) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #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 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (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 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 (fma.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 (fma.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 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.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)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #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 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b r))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 b r) a) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 b r) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) r)) b) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b r) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) r)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 b r)) a r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #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 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.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) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.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) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.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) b))))) #s(literal -1/2 binary64) (fma.f64 (neg.f64 (neg.f64 (sin.f64 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (cos.f64 b)) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.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) b))))) #s(literal 1/6 binary64)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sin.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) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 a (fma.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 b))))) (cos.f64 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 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #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 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (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 (*.f64 a a) #s(literal -1/6 binary64)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ (neg (+ 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 (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (+.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)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (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 (sin b) (*.f64 (fma.f64 (fma.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 (-.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) #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 (fma.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 (fma.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 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.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 (fma.f64 (fma.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 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) b)
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* b b) -1/6) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 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 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (/.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (cos.f64 a))))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 (neg.f64 b) (neg.f64 (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 b (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 a))))) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (neg.f64 (neg.f64 (sin.f64 a))) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 a))))) (cos.f64 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 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))
#s(approx (neg (+ a b)) (-.f64 (neg.f64 b) a))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (fma.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 (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (+ (* (* b b) 1/120) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (* b b) 1/120) -1/6) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (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 (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) (*.f64 b b)) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b 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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (pow.f64 b #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))))
#s(approx (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (/.f64 #s(literal 1/6 binary64) (*.f64 b b)))) (*.f64 (*.f64 b b) (*.f64 b b))))
#s(approx (+ (* (* b b) 1/120) -1/6) (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))
#s(approx (+ (* (* b b) 1/120) -1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 b b))) (*.f64 b b)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 r (*.f64 (cos.f64 a) b))) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (pow.f64 b #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))) (pow.f64 b #s(literal 5 binary64)))))

eval112.0ms (1.8%)

Memory
-28.6MiB live, 69.4MiB allocated; 24ms collecting garbage
Compiler

Compiled 6 264 to 2 344 computations (62.6% saved)

prune69.0ms (1.1%)

Memory
24.9MiB live, 114.0MiB allocated; 9ms collecting garbage
Pruning

80 alts after pruning (76 fresh and 4 done)

PrunedKeptTotal
New42629455
Fresh94756
Picked235
Done011
Total43780517
Accuracy
99.9%
Counts
517 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))))
✓70.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
56.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
55.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
48.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
44.5%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
19.6%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
14.0%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
16.3%
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
45.3%
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 a))))
53.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 a) (*.f64 (neg.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 b) (cos.f64 a))))
99.1%
(/.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))))
49.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 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 (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))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.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))))))
▶57.1%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶35.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
33.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
18.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
17.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
55.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) a))))
40.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
47.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
47.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
45.5%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
✓45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.1%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.f64 a))))
30.5%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
44.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
45.6%
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
▶44.8%
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
70.1%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
44.9%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
70.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.1%
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
35.3%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
55.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
44.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
22.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
▶29.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
45.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
33.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
✓29.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
30.7%
#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)))))))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
55.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
30.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
29.2%
#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))))
29.2%
#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))))
29.3%
#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))))
28.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
29.2%
#s(approx (/ (* r (sin b)) (cos (+ a 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)))
29.2%
#s(approx (/ (* r (sin b)) (cos (+ a 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)))
29.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 3 023 to 2 732 computations (9.6% saved)

series79.0ms (1.3%)

Memory
6.5MiB live, 107.8MiB allocated; 39ms collecting garbage
Counts
39 → 220
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
(fma.f64 (*.f64 b r) a r)
(*.f64 b r)
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a))
(+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)
(+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b)))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 r))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos b))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (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 (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#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 (* (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) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 a))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ 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 (* (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 (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (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 (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos a))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (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 (* (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 (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b)))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 b))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 b))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (* b (+ 1 (* 1/2 (/ (PI) b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (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 (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
a
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (* (sin b) r) (/ 1 (cos (+ a b)))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (/ 1 (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (sin (+ (+ b (* (PI) 1/2)) a)) (+ (+ b (* (PI) 1/2)) a) (+ b (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
8.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (* (sin b) r) (/ 1 (cos (+ a b)))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (/ 1 (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (sin (+ (+ b (* (PI) 1/2)) a)) (+ (+ b (* (PI) 1/2)) a) (+ b (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
7.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (* (sin b) r) (/ 1 (cos (+ a b)))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (/ 1 (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (sin (+ (+ b (* (PI) 1/2)) a)) (+ (+ b (* (PI) 1/2)) a) (+ b (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
6.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (* (sin b) r) (/ 1 (cos (+ a b)))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (/ 1 (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (sin (+ (+ b (* (PI) 1/2)) a)) (+ (+ b (* (PI) 1/2)) a) (+ b (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))
6.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (+ (* (* b r) a) r) (* b r) (* (* (sin b) r) (/ 1 (cos (+ a b)))) (* (sin b) r) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) (* b b) -1/6 1 (/ 1 (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (sin (+ (+ b (* (PI) 1/2)) a)) (+ (+ b (* (PI) 1/2)) a) (+ b (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (* (sin b) (sin a)))

rewrite244.0ms (3.9%)

Memory
-37.2MiB live, 194.8MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09016817
09486094
159496010
083135645
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
259 → 473
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
(fma.f64 (*.f64 b r) a r)
(*.f64 b r)
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 b b)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a))
(+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)
(+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a))))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* r (+ (/ 1 (cos a)) (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* r (+ 1 (* a b)))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* (sin b) r) #s(hole binary64 (* r (sin b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* -1 (* b (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* r (- (* -1 (/ (* b (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ 1 (cos a)))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* r (- (* -1 (* a b)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos b)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (* (pow b 2) r)) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* 1/2 (* a (* b r))) (* (pow b 2) r))) (* b r))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (+ (* a (+ (* a (+ (* 1/2 (* b r)) (* a (* b (- (* -1/6 (* b r)) (* -1 (* b r))))))) (* (pow b 2) r))) (* b r))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* 1/2 (* a r)) (* b r))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ r (* a (+ (* a (- (* a (- (* -1/6 (* b r)) (* -1 (* b r)))) (* -1/2 r))) (* b r))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 r))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (+ r (* a (* b r)))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos b))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (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 (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#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 (* (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) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (+ (/ r (cos a)) (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (* b r))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* a (+ (* b r) (/ r a)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos (+ a b)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 a))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ 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 (* (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 (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* a (+ (* -1 (* b r)) (* -1 (/ r a)))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (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 (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (cos a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 1))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ r (cos a))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b r)))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* (sin b) r) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (cos a))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (- (* (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 (* (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 (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (cos b) #s(hole binary64 (cos b)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (/ (* (pow b 2) (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) #s(hole binary64 (* (pow b 2) (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (/ (* b (* r (sin a))) (+ 1/2 (* 1/2 (cos (* 2 a)))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* b (+ (/ r (* b (cos a))) (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* b (+ (* a r) (/ r b)))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 b))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 b))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (* b (+ 1 (* 1/2 (/ (PI) b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ r (* b (cos a)))) (* -1 (/ (* r (sin a)) (+ 1/2 (* 1/2 (cos (* 2 a)))))))))))
#s(approx (+ (* (* b r) a) r) #s(hole binary64 (* -1 (* b (+ (* -1 (* a r)) (* -1 (/ r b)))))))
#s(approx (* (* (sin b) r) (/ 1 (cos (+ a b)))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (/ 1 (cos (+ a b))) #s(hole binary64 (/ 1 (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 (+ (+ b (* (PI) 1/2)) a))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ b (* (PI) 1/2)) a) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
#s(approx (+ b (* (PI) 1/2)) #s(hole binary64 (* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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 b) (cos.f64 a)) #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 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))
(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 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (*.f64 #s(literal 1 binary64) a))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal 1 binary64) a))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 (neg.f64 (neg.f64 a)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 a)
a
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 b))
(sin.f64 (+.f64 b (PI.f64)))
(fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (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 a b))) #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 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (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)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
(*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b)
(*.f64 b #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r))) (-.f64 r (*.f64 (*.f64 a b) r)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))
(/.f64 (+.f64 (pow.f64 r #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a b) r) #s(literal 3 binary64))) (fma.f64 r r (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r (*.f64 (*.f64 a b) r)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a b) r) #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r) (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 a b) r) r))))
(neg.f64 (-.f64 (neg.f64 r) (*.f64 (*.f64 a b) r)))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 a b) r)) r))
(fma.f64 (*.f64 a b) r r)
(fma.f64 (*.f64 b r) a r)
(fma.f64 a (*.f64 b r) r)
(fma.f64 b (*.f64 a r) r)
(-.f64 r (*.f64 (neg.f64 a) (*.f64 b r)))
(+.f64 (*.f64 (*.f64 a b) r) r)
(+.f64 r (*.f64 (*.f64 a b) r))
(*.f64 b r)
(*.f64 r b)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)
(*.f64 r #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 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(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 -1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(/.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 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.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 b) (cos.f64 a)) #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 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a))))
(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))
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#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (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 b) (cos 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 (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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx a a)
#s(approx (* (cos b) (cos a)) (cos.f64 b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #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 (fma.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 (fma.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 b) (cos a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b r))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (*.f64 (*.f64 a b) r) #s(literal 1/2 binary64) (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 b r) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) r)) b) a (*.f64 (*.f64 b r) #s(literal 1/2 binary64))) a (*.f64 (*.f64 b b) r)) a (*.f64 b r)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r)
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b r) #s(literal -1/6 binary64)) (*.f64 (neg.f64 b) r)) a (*.f64 #s(literal 1/2 binary64) r)) a (*.f64 b r)) a r))
#s(approx (+ (* (* b r) a) r) r)
#s(approx (+ (* (* b r) a) r) (fma.f64 (*.f64 b r) a r))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
#s(approx (/ 1 (cos (+ a b))) (fma.f64 a (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) a) (neg.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (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 b) (cos a))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))) a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (neg.f64 (*.f64 r (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 3 binary64))))))) a) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (fma.f64 a (fma.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (fma.f64 (fma.f64 a (fma.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a) #s(literal -1/6 binary64) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))))
#s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))
#s(approx (+ (+ b (* (PI) 1/2)) a) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 a (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 r (tan.f64 b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (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 b) (cos 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 (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/6 binary64) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 b) #s(literal 1/120 binary64))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 (+.f64 a b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))))
#s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)))
#s(approx (+ (+ b (* (PI) 1/2)) a) a)
#s(approx (+ (+ b (* (PI) 1/2)) a) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a) #s(literal 1 binary64)) a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 (+.f64 a b)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) r (neg.f64 (/.f64 r a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)))
#s(approx (+ (+ b (* (PI) 1/2)) a) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (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 (sin b) (*.f64 (fma.f64 (fma.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 b) (cos a))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (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 b) (cos 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 (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.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 (fma.f64 (fma.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 (* (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 (fma.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 (fma.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 b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* (sin b) r) (*.f64 b r))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (sin b) r) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) b)
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (+ (* (* b b) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* b b) -1/6) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
#s(approx (/ 1 (cos (+ a b))) (fma.f64 b (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b) (neg.f64 (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (/ 1 (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (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 b) (cos a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (*.f64 (+.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) r) b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))))))) b))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) b) (/.f64 (*.f64 (cos.f64 (fma.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/6 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (fma.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (*.f64 (/.f64 (*.f64 (cos.f64 (fma.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))))) #s(literal 1/2 binary64)))) b))) (fma.f64 (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))) r) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) b) (/.f64 (*.f64 (cos.f64 (fma.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))))) b (/.f64 r (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))) b))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (fma.f64 b (fma.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) b) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (fma.f64 (fma.f64 b (fma.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) b) #s(literal -1/6 binary64) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a)) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))) b (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))
#s(approx (+ b (* (PI) 1/2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ b (* (PI) 1/2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b))) (fma.f64 #s(literal -1/2 binary64) (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 a))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (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 b) (cos 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 (* (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 (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (cos b) (cos.f64 b))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) (*.f64 b b)) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (*.f64 (fma.f64 r (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) (*.f64 b b)))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 r (/.f64 (sin.f64 a) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b))
#s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ (+ b (* (PI) 1/2)) a) b)
#s(approx (+ (+ b (* (PI) 1/2)) a) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b) #s(literal 1 binary64)) b))
#s(approx (+ b (* (PI) 1/2)) b)
#s(approx (+ b (* (PI) 1/2)) (*.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a))))
#s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 r (*.f64 (cos.f64 a) b))) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (* b r) a) r) (*.f64 (neg.f64 b) (fma.f64 (neg.f64 a) r (neg.f64 (/.f64 r b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b))))
#s(approx (/ 1 (cos (+ a b))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (neg.f64 b) a))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (cos.f64 (-.f64 (neg.f64 b) a)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) (neg.f64 b)))))
#s(approx (sin (+ (+ b (* (PI) 1/2)) a)) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) (neg.f64 b))))
#s(approx (+ (+ b (* (PI) 1/2)) a) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a) b)) #s(literal 1 binary64))))
#s(approx (+ b (* (PI) 1/2)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal -1 binary64))))

eval110.0ms (1.8%)

Memory
0.4MiB live, 96.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 4 935 to 1 905 computations (61.4% saved)

prune90.0ms (1.4%)

Memory
12.9MiB live, 151.1MiB allocated; 11ms collecting garbage
Pruning

101 alts after pruning (95 fresh and 6 done)

PrunedKeptTotal
New36331394
Fresh76471
Picked325
Done044
Total373101474
Accuracy
99.9%
Counts
474 → 101
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
57.1%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
31.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))))
✓70.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
56.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
55.1%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
48.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
44.5%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
19.6%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
14.0%
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
16.3%
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
45.3%
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 a))))
53.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.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))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
57.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
49.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.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)) (*.f64 (cos.f64 b) (cos.f64 a))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 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))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 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 (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))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.5%
(/.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))))))
34.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
33.9%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
55.2%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
50.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
25.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
19.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
34.5%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
17.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
17.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
35.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
18.6%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 b))))
17.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (neg.f64 a))))
54.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
55.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
56.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) a))))
40.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
47.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
47.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
45.5%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
28.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
✓45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.1%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.f64 a))))
32.6%
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
30.4%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
30.5%
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
35.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
44.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
57.0%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
35.3%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
45.6%
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
45.3%
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
70.1%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
44.9%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
44.8%
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
57.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
70.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
55.1%
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
30.3%
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
55.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
44.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
22.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
✓29.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
23.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
45.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
33.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
24.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
24.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
13.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
✓29.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
30.7%
#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)))))))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
55.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
30.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
30.6%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
29.2%
#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))))
29.2%
#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))))
29.3%
#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))))
28.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
29.2%
#s(approx (/ (* r (sin b)) (cos (+ a 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)))
29.2%
#s(approx (/ (* r (sin b)) (cos (+ a 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)))
29.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
Compiler

Compiled 3 433 to 2 482 computations (27.7% saved)

regimes154.0ms (2.5%)

Memory
4.1MiB live, 249.5MiB allocated; 38ms collecting garbage
Counts
140 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
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(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.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)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 b))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #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))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a))))
(/.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 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64))) (sin.f64 a))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (sin.f64 a))))
(/.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 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.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 (*.f64 r (sin.f64 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))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
Calls

4 calls:

45.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
36.0ms
b
33.0ms
a
33.0ms
r
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)

regimes146.0ms (2.4%)

Memory
9.6MiB live, 196.8MiB allocated; 37ms collecting garbage
Counts
122 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.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)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.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:

45.0ms
a
40.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.0ms
b
27.0ms
r
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)

regimes119.0ms (1.9%)

Memory
7.2MiB live, 144.5MiB allocated; 10ms collecting garbage
Counts
121 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.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)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

4 calls:

30.0ms
b
29.0ms
a
28.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
27.0ms
r
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)

regimes117.0ms (1.9%)

Memory
-3.3MiB live, 140.9MiB allocated; 9ms collecting garbage
Counts
119 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.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)) (*.f64 (cos.f64 b) (cos.f64 a))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

4 calls:

29.0ms
b
28.0ms
r
27.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
27.0ms
a
Results
AccuracySegmentsBranch
70.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
70.2%1r
70.2%1a
73.8%3b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes33.0ms (0.5%)

Memory
-0.5MiB live, 44.8MiB allocated; 3ms collecting garbage
Counts
117 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

28.0ms
b
Results
AccuracySegmentsBranch
73.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (0.5%)

Memory
-10.5MiB live, 41.4MiB allocated; 5ms collecting garbage
Counts
116 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

28.0ms
b
Results
AccuracySegmentsBranch
73.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes32.0ms (0.5%)

Memory
-6.3MiB live, 40.1MiB allocated; 2ms collecting garbage
Counts
115 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

26.0ms
b
Results
AccuracySegmentsBranch
73.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.5%)

Memory
44.5MiB live, 44.5MiB allocated; 0ms collecting garbage
Counts
114 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
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(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)))) (sin.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

25.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.5%)

Memory
-9.4MiB live, 37.3MiB allocated; 1ms collecting garbage
Counts
110 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

24.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes32.0ms (0.5%)

Memory
-5.4MiB live, 39.5MiB allocated; 3ms collecting garbage
Counts
109 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

27.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes78.0ms (1.2%)

Memory
-23.2MiB live, 40.9MiB allocated; 79ms collecting garbage
Counts
104 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

1 calls:

73.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.5%)

Memory
-16.4MiB live, 33.9MiB allocated; 5ms collecting garbage
Counts
103 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

1 calls:

26.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.4%)

Memory
38.1MiB live, 38.1MiB allocated; 0ms collecting garbage
Counts
101 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

1 calls:

23.0ms
b
Results
AccuracySegmentsBranch
73.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.4%)

Memory
-11.7MiB live, 35.1MiB allocated; 1ms collecting garbage
Counts
97 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
Calls

1 calls:

22.0ms
b
Results
AccuracySegmentsBranch
73.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.4%)

Memory
-13.7MiB live, 32.2MiB allocated; 2ms collecting garbage
Counts
96 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (neg (+ a b)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 b a)) a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.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)) (cos.f64 #s(approx (+ a b) (*.f64 #s(approx (+ (/ b a) 1) (/.f64 (+.f64 a b) a)) 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)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 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)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) #s(approx (+ 1/2 (* 1/2 (cos (* 2 a)))) #s(literal 1 binary64))) (/.f64 r (cos.f64 a))) b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (fma.f64 b (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 #s(approx (neg (+ a b)) (*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.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 r (sin.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 b) #s(approx (sin a) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) #s(approx (* (+ (* (+ (* (* b b) 1/120) -1/6) (* b b)) 1) b) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) b)) (sin.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 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (*.f64 (fma.f64 (sin.f64 a) (/.f64 r (fma.f64 (cos.f64 (+.f64 a a)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 r (*.f64 (cos.f64 a) b))) b)) b))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

1 calls:

23.0ms
b
Results
AccuracySegmentsBranch
70.2%1b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes50.0ms (0.8%)

Memory
11.3MiB live, 63.1MiB allocated; 4ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
Calls

4 calls:

14.0ms
a
11.0ms
b
11.0ms
r
11.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
70.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
70.1%1a
70.1%1r
70.1%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes51.0ms (0.8%)

Memory
-6.6MiB live, 83.6MiB allocated; 7ms collecting garbage
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b))) b)) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) a)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ b (* (PI) 1/2)) a) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 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 (*.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 (sin.f64 b)) (sin.f64 (+.f64 #s(approx (+ b (* (PI) 1/2)) b) a)))
Outputs
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

15.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
12.0ms
r
11.0ms
a
11.0ms
b
Results
AccuracySegmentsBranch
55.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
70.0%3a
56.7%2r
70.6%3b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
Outputs
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (/.f64 r (cos.f64 (+.f64 a b))))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
70.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory
-22.1MiB live, 20.5MiB allocated; 12ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#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)))
(/.f64 (*.f64 #s(approx (sin b) b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ b (* (PI) 1/2)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(*.f64 (*.f64 #s(approx (sin b) #s(approx (* (+ (* (* b b) -1/6) 1) b) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (+.f64 b (*.f64 (PI.f64) #s(literal 1/2 binary64))) a)))
(/.f64 (*.f64 r #s(approx (sin b) b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 #s(approx (+ a b) a)))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 #s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) b)) r) (cos.f64 (+.f64 a b)))
Outputs
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 r #s(approx (sin b) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

14.0ms
b
Results
AccuracySegmentsBranch
70.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
Outputs
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
70.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.4%)

Memory
-22.4MiB live, 31.9MiB allocated; 16ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Outputs
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

3 calls:

13.0ms
r
4.0ms
a
4.0ms
b
Results
AccuracySegmentsBranch
55.1%1r
55.1%1a
55.1%1b
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes16.0ms (0.3%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Accuracy

Total -14.3b remaining (-31.8%)

Threshold costs -14.3b (-31.8%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (*.f64 a b) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (*.f64 b r) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (fma.f64 (*.f64 (*.f64 b b) r) a (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 a r (/.f64 r b)) b))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) #s(approx (+ (* (* b r) a) r) (*.f64 (fma.f64 b r (/.f64 r a)) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (fma.f64 (fma.f64 (*.f64 a r) #s(literal 1/2 binary64) (*.f64 b r)) a r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 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))) #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 (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)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a b) r) (*.f64 (*.f64 a b) r)) (*.f64 r r)) (-.f64 (*.f64 (*.f64 a b) r) r))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) r) b))
Calls

4 calls:

4.0ms
b
4.0ms
r
4.0ms
a
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
29.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.6%1r
29.6%1a
29.6%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch54.0ms (0.9%)

Memory
15.4MiB live, 60.6MiB allocated; 6ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.061511211729827195
116150473.41988131
28.0ms
-1325094354391.2463
-102959708383.45718
Samples
34.0ms168×1valid
7.0ms72×0valid
Compiler

Compiled 624 to 611 computations (2.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-cos: 18.0ms (53.4% of total)
ival-sin: 8.0ms (23.7% of total)
adjust: 3.0ms (8.9% of total)
ival-div!: 2.0ms (5.9% of total)
ival-add!: 1.0ms (3% of total)
ival-mult!: 1.0ms (3% of total)

bsearch44.0ms (0.7%)

Memory
-8.5MiB live, 36.7MiB allocated; 9ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.061511211729827195
116150473.41988131
28.0ms
-0.9695314756998145
-0.07518208377017511
Samples
21.0ms99×0valid
11.0ms93×1valid
Compiler

Compiled 744 to 596 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult!: 17.0ms (62% of total)
ival-cos: 5.0ms (18.2% of total)
adjust: 2.0ms (7.3% of total)
ival-sin: 2.0ms (7.3% of total)
ival-add!: 1.0ms (3.6% of total)
ival-div!: 1.0ms (3.6% of total)

bsearch20.0ms (0.3%)

Memory
-21.1MiB live, 23.9MiB allocated; 7ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.061511211729827195
116150473.41988131
1.0ms
-1325094354391.2463
-102959708383.45718
Samples
6.0ms38×1valid
3.0ms26×0valid
Compiler

Compiled 579 to 581 computations (-0.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 2.0ms (30.4% of total)
ival-cos: 2.0ms (30.4% of total)
adjust: 1.0ms (15.2% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.061511211729827195
116150473.41988131
1.0ms
-1325094354391.2463
-102959708383.45718
Compiler

Compiled 579 to 581 computations (-0.3% saved)

bsearch16.0ms (0.3%)

Memory
29.8MiB live, 29.8MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.061511211729827195
116150473.41988131
5.0ms
-0.9695314756998145
-0.07518208377017511
Samples
6.0ms52×1valid
3.0ms44×0valid
Compiler

Compiled 669 to 566 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (32.6% of total)
adjust: 1.0ms (16.3% of total)
ival-sin: 1.0ms (16.3% of total)
ival-div!: 1.0ms (16.3% of total)
ival-mult!: 1.0ms (16.3% of total)
ival-add!: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
-50.9MiB live, 5.0MiB allocated; 10ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.061511211729827195
116150473.41988131
7.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 669 to 566 computations (15.4% saved)

bsearch3.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
0.061511211729827195
116150473.41988131
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 819 to 671 computations (18.1% saved)

bsearch3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
0.061511211729827195
116150473.41988131
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 819 to 671 computations (18.1% saved)

bsearch3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
0.061511211729827195
116150473.41988131
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 807 to 659 computations (18.3% saved)

bsearch3.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.061511211729827195
116150473.41988131
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 762 to 629 computations (17.5% saved)

bsearch3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.061511211729827195
116150473.41988131
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 762 to 629 computations (17.5% saved)

bsearch47.0ms (0.8%)

Memory
-13.9MiB live, 31.8MiB allocated; 6ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.061511211729827195
116150473.41988131
35.0ms
-0.9695314756998145
-0.07518208377017511
Samples
34.0ms84×1valid
4.0ms76×0valid
Compiler

Compiled 387 to 419 computations (-8.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult!: 25.0ms (72.8% of total)
ival-cos: 4.0ms (11.7% of total)
adjust: 2.0ms (5.8% of total)
ival-sin: 2.0ms (5.8% of total)
ival-add!: 1.0ms (2.9% of total)
ival-div!: 1.0ms (2.9% of total)

bsearch2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.061511211729827195
116150473.41988131
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 387 to 419 computations (-8.3% saved)

bsearch7.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.153997864893273e-6
1.4841780780754336e-6
0.0ms
-0.9695314756998145
-0.07518208377017511
Samples
3.0ms23×1valid
1.0ms25×0valid
Compiler

Compiled 192 to 212 computations (-10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sin: 1.0ms (35.1% of total)
ival-cos: 1.0ms (35.1% of total)
ival-add!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.153997864893273e-6
1.4841780780754336e-6
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 345 to 365 computations (-5.8% saved)

derivations730.0ms (11.7%)

Memory
-3.3MiB live, 718.1MiB allocated; 89ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 358 to 194 computations (45.8% saved)

preprocess354.0ms (5.7%)

Memory
-2.6MiB live, 514.8MiB allocated; 69ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 2 042 to 1 548 computations (24.2% saved)

end0.0ms (0%)

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

Profiling

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