rsin A (should all be same)

Time bar (total: 6.0s)

start0.0ms (0%)

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

analyze259.0ms (4.4%)

Memory
-15.9MiB live, 172.1MiB allocated; 31ms 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)

sample1.8s (29.8%)

Memory
89.5MiB live, 1 949.4MiB allocated; 1.2s collecting garbage
Samples
1.4s6 014×1valid
131.0ms2 242×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sin: 641.0ms (52% of total)
ival-cos: 296.0ms (24% of total)
adjust: 133.0ms (10.8% of total)
ival-div!: 67.0ms (5.4% of total)
ival-mult!: 50.0ms (4.1% of total)
ival-add!: 47.0ms (3.8% of total)
Bogosity

preprocess56.0ms (0.9%)

Memory
-45.6MiB live, 69.7MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03897
114397
248393
3257093
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
33.9MiB live, 33.9MiB allocated; 0ms collecting garbage
Counts
8 → 39
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 (+ 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 (+ 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 (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)

rewrite202.0ms (3.4%)

Memory
-17.7MiB live, 215.3MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0225925
0232889
11326833
08097799
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
47 → 74
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 (+ 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 (+ 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 (cos (+ a b)) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b 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 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(+.f64 a b)
(+.f64 b a)
a
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 r (tan.f64 b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 r (tan.f64 b)) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))))) a (*.f64 r (tan.f64 b))))
#s(approx (cos (+ a b)) (cos.f64 b))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (cos (+ a b)) (cos.f64 a))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (sin b) (sin.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval8.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 762 to 357 computations (53.1% saved)

prune18.0ms (0.3%)

Memory
-9.3MiB live, 35.2MiB allocated; 4ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New432467
Fresh000
Picked101
Done000
Total442468
Accuracy
99.8%
Counts
68 → 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)))
35.7%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
69.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
99.3%
(/.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)))
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))))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (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 #s(approx (* r (sin b)) (*.f64 b r)) (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 716 to 632 computations (11.7% saved)

series47.0ms (0.8%)

Memory
-3.9MiB live, 95.3MiB allocated; 12ms collecting garbage
Counts
32 → 104
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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.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))))
#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)))
(fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) b)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (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) (* -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 (+ 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 b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1 a) (* -1/2 b))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* -1/2 (* (pow a 2) b)))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* 1/24 (* (pow a 2) b)))))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* (pow a 2) (+ (* -1/720 (* (pow a 2) b)) (* 1/24 b))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (- (* -1/2 (* b (cos a))) (sin a))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (* (cos a) b) #s(hole binary64 (* b (cos 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 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 (+ 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 (- (* (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 (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin 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 (* (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 (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 (+ 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 (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* -1/2 (* (pow b 2) (cos a)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
7.0ms
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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
6.0ms
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 (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
5.0ms
b
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)
4.0ms
r
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* (sin b) r) (cos (+ a b))) (* (sin b) r) (cos (+ a b)) (+ a b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) -1 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (- (* (* (cos a) b) -1/2) (sin a)) (* (* (cos a) b) -1/2) (* (cos a) b) -1/2)

rewrite166.0ms (2.8%)

Memory
-3.9MiB live, 230.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05752578
06242361
136052346
081562230
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
136 → 303
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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.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))))
#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)))
(fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) b)
#s(literal -1/2 binary64)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (- (* (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) (* -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 (+ 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 b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1/2 b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1 a) (* -1/2 b))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (+ (* -1/2 b) (* a (- (* a (+ (* 1/6 a) (* 1/4 b))) 1)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* -1/2 (* (pow a 2) b)))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* 1/24 (* (pow a 2) b)))))))
#s(approx (* (cos a) b) #s(hole binary64 (+ b (* (pow a 2) (+ (* -1/2 b) (* (pow a 2) (+ (* -1/720 (* (pow a 2) b)) (* 1/24 b))))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* (sin a) (sin b))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (- (* -1/2 (* b (cos a))) (sin a))))
#s(approx (* (* (cos a) b) -1/2) #s(hole binary64 (* -1/2 (* b (cos a)))))
#s(approx (* (cos a) b) #s(hole binary64 (* b (cos 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 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 (+ 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 (- (* (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 (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin 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 (* (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 (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 (+ 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 (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (sin b) #s(hole binary64 (sin b)))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* -1/2 (* (pow b 2) (cos a)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* b (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) #s(hole binary64 (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (cos a)) (/ (sin a) b))))))
Outputs
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
r
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.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)))) (neg.f64 (+.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (-.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (-.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (-.f64 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.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 b a))) #s(literal 2 binary64))
(pow.f64 (cos.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(exp.f64 (*.f64 (log.f64 (cos.f64 b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(pow.f64 (cos.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 a) (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 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(*.f64 r (tan.f64 b))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 b))))
(/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 b (PI.f64)))
(tan.f64 b)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.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)))) (neg.f64 (+.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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(+.f64 a b)
(+.f64 b a)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(sin.f64 b)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (fabs.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 b) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal -1 binary64))))
#s(literal -1 binary64)
(*.f64 r (/.f64 (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 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 #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 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 #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 (sin.f64 b) r) #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 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64))) (-.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b)))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))
(-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))))
(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b) (cos.f64 a))
(+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (sin.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (sin.f64 a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)))))
(-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a))
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a))
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))
(*.f64 (cos.f64 a) b)
(*.f64 b (cos.f64 a))
#s(literal -1/2 binary64)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (sin.f64 b) (/.f64 (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #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 (+ 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 (cos.f64 b) #s(literal -1/2 binary64))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx 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) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) a (neg.f64 b)) a (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 a b) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) a (neg.f64 b)) a (*.f64 (*.f64 b b) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a b)) #s(literal 1 binary64)) a (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) b (*.f64 #s(literal 1/6 binary64) a)) a) #s(literal 1 binary64)) a (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (* (cos a) b) -1/2) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (* (cos a) b) -1/2) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 a a) b) (*.f64 #s(literal 1/4 binary64) b)) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (* (cos a) b) -1/2) (fma.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 a a) b) (*.f64 #s(literal -1/48 binary64) b)) (*.f64 #s(literal 1/4 binary64) b)) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) b)))
#s(approx (* (cos a) b) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal -1/2 binary64) b))
#s(approx (* (cos a) b) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) b))
#s(approx (* (cos a) b) (fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (*.f64 (*.f64 a a) b) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) b)) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) b))
#s(approx (cos (+ a b)) (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 (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (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 (- (* (* (cos a) b) -1/2) (sin a)) (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)))
#s(approx (* (* (cos a) b) -1/2) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
#s(approx (* (cos a) b) (*.f64 (cos.f64 a) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (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 (* (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) #s(literal 1/24 binary64)) (cos.f64 a) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (*.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 (cos.f64 a) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/6 binary64) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/120 binary64) (*.f64 (sin.f64 a) #s(literal -1/6 binary64))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal -1/5040 binary64) (*.f64 (sin.f64 a) #s(literal 1/120 binary64))) (*.f64 b b))) (*.f64 b b) (sin.f64 a)) b))
#s(approx (* r (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) (*.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 (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (neg.f64 (sin.f64 a)))
#s(approx (sin b) (sin.f64 b))
#s(approx (tan b) (tan.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (*.f64 (*.f64 (*.f64 b b) (cos.f64 a)) #s(literal -1/2 binary64)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (*.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 a)) b)) (*.f64 b b)))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (*.f64 (-.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (cos.f64 a) (*.f64 b b))) (/.f64 (sin.f64 a) b)) (*.f64 b b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 a)) b)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (neg.f64 b)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 a (neg.f64 b))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (*.f64 (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 a) b)) (sin.f64 a)) b))) (*.f64 b b)))
#s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 (neg.f64 b) (fma.f64 (cos.f64 a) #s(literal 1/2 binary64) (/.f64 (sin.f64 a) b))))

eval88.0ms (1.5%)

Memory
18.7MiB live, 63.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 582 to 1 510 computations (57.8% saved)

prune70.0ms (1.2%)

Memory
-0.4MiB live, 104.7MiB allocated; 14ms collecting garbage
Pruning

57 alts after pruning (56 fresh and 1 done)

PrunedKeptTotal
New27344317
Fresh71219
Picked415
Done000
Total28457341
Accuracy
99.9%
Counts
341 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
46.2%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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))))
70.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) 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))))
✓70.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
56.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
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)))
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)))
29.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
55.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))))
▶45.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
45.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
48.4%
(/.f64 (*.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
35.7%
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
▶69.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.3%
(/.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) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.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 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.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)))))
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))))
45.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 a))))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
30.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
47.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (sin.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 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
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))))
45.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
45.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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))))
45.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
45.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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))))
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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
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))))
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))))
45.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
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 1 988 to 1 766 computations (11.2% saved)

series78.0ms (1.3%)

Memory
-16.8MiB live, 172.9MiB allocated; 16ms collecting garbage
Counts
42 → 143
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))) #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 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b b)
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
#s(literal 1 binary64)
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
(/.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))
#s(literal 1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) (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 (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)))))
(sin.f64 (+.f64 a b))
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI))))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#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 (+ 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 (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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (+ (* -1 (/ (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))) (/ (* r (* (sin b) (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin b))) (* a (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin b)))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (cos b)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* -1/2 (* a (sin b))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* a (+ (* -1/2 (sin b)) (* -1/6 (* a (cos b))))))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos b) (sin (* 1/2 (PI))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* -1 (* a (* (sin b) (sin (* 1/2 (PI)))))) (* (cos b) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* -1/2 (* a (* (cos b) (sin (* 1/2 (PI)))))))) (* (cos b) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* 1/6 (* a (* (sin b) (sin (* 1/2 (PI)))))))))) (* (cos b) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (+ a b))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (+ a b)) (sin (* 1/2 (PI))))))
#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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- b (* -1 a)))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (- b (* -1 a))) (sin (* 1/2 (PI))))))
#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 (+ 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 (+ (* (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 (* -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 (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 (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (+ r (* 1/3 (* (pow b 2) r)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (+ (* (* b b) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow b 2)))))
#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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (+ (/ (* r (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)) (/ (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))))) (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* b (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (cos a)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* -1/2 (* b (sin a))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* b (+ (* -1/2 (sin a)) (* -1/6 (* b (cos a))))))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos a) (sin (* 1/2 (PI))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* -1 (* b (* (sin a) (sin (* 1/2 (PI)))))) (* (cos a) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* -1/2 (* b (* (cos a) (sin (* 1/2 (PI)))))))) (* (cos a) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* 1/6 (* b (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos a) (sin (* 1/2 (PI)))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* 1/3 (* (pow b 2) r))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (/ (+ (* (* b b) 1/6) 1) b) #s(hole binary64 (* 1/6 b)))
#s(approx (/ (+ (* (* b b) 1/6) 1) b) #s(hole binary64 (* b (+ 1/6 (/ 1 (pow b 2))))))
#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) (+ 1/6 (/ 1 (pow b 2))))))
#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 (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#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 (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- a (* -1 b)))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (- a (* -1 b))) (sin (* 1/2 (PI))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
r
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) 1/6 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin (+ a b)) (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (+ a b)) (sin (/ (PI) 2))) (sin (/ (PI) 2)))
10.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) 1/6 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin (+ a b)) (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (+ a b)) (sin (/ (PI) 2))) (sin (/ (PI) 2)))
9.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) 1/6 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin (+ a b)) (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (+ a b)) (sin (/ (PI) 2))) (sin (/ (PI) 2)))
9.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) 1/6 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin (+ a b)) (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (+ a b)) (sin (/ (PI) 2))) (sin (/ (PI) 2)))
9.0ms
a
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) r (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (/ 1 (pow (sin b) -1))) (cos (+ a b))) (* r (/ 1 (pow (sin b) -1))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) 1/6 (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* (neg a) (sin b)) (cos b)) (neg a) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin (+ a b)) (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (+ a b)) (sin (/ (PI) 2))) (sin (/ (PI) 2)))

rewrite195.0ms (3.3%)

Memory
36.0MiB live, 268.6MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08015226
08624526
149833882
082683664
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
185 → 427
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))) #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 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
(*.f64 b b)
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))
#s(literal 1 binary64)
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
(/.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))
#s(literal 1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) (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 (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)))))
(sin.f64 (+.f64 a b))
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI))))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#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 (+ 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 (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 (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (+ (* -1 (/ (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))) (/ (* r (* (sin b) (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin b))) (* a (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin b)))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (cos b)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* -1/2 (* a (sin b))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* a (+ (* -1/2 (sin b)) (* -1/6 (* a (cos b))))))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos b) (sin (* 1/2 (PI))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* -1 (* a (* (sin b) (sin (* 1/2 (PI)))))) (* (cos b) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* -1/2 (* a (* (cos b) (sin (* 1/2 (PI)))))))) (* (cos b) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* 1/6 (* a (* (sin b) (sin (* 1/2 (PI)))))))))) (* (cos b) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (neg (sin b)) (sin a)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (/ (cos b) a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (+ a b))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (+ a b)) (sin (* 1/2 (PI))))))
#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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- b (* -1 a)))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (- b (* -1 a))) (sin (* 1/2 (PI))))))
#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 (+ 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 (+ (* (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 (* -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 (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 (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (+ r (* 1/3 (* (pow b 2) r)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow b 2))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* 7/360 (pow b 2))))) b)))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ (+ 1 (* (pow b 2) (+ 1/6 (* (pow b 2) (+ 7/360 (* 31/15120 (pow b 2))))))) b)))
#s(approx (+ (* (* b b) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow b 2)))))
#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 (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* -1/2 b))))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) #s(hole binary64 (+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (+ (/ (* r (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)) (/ (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))))) (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* b (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (cos a)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* -1/2 (* b (sin a))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* b (+ (* -1/2 (sin a)) (* -1/6 (* b (cos a))))))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos a) (sin (* 1/2 (PI))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* -1 (* b (* (sin a) (sin (* 1/2 (PI)))))) (* (cos a) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* -1/2 (* b (* (cos a) (sin (* 1/2 (PI)))))))) (* (cos a) (sin (* 1/2 (PI)))))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* 1/6 (* b (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos a) (sin (* 1/2 (PI)))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* 1/3 (* (pow b 2) r))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* (pow b 2) (+ (* 1/3 r) (/ r (pow b 2))))))
#s(approx (pow (sin b) -1) #s(hole binary64 (/ 1 (sin b))))
#s(approx (/ (+ (* (* b b) 1/6) 1) b) #s(hole binary64 (* 1/6 b)))
#s(approx (/ (+ (* (* b b) 1/6) 1) b) #s(hole binary64 (* b (+ 1/6 (/ 1 (pow b 2))))))
#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) (+ 1/6 (/ 1 (pow b 2))))))
#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 (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#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 (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- a (* -1 b)))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (- a (* -1 b))) (sin (* 1/2 (PI))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 b) #s(literal 0 binary64) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 b)
(+.f64 (*.f64 (sin.f64 b) #s(literal 0 binary64)) (*.f64 (cos.f64 b) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 a) #s(literal 0 binary64) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (neg.f64 a))
(cos.f64 a)
(+.f64 (*.f64 (sin.f64 a) #s(literal 0 binary64)) (*.f64 (cos.f64 a) #s(literal 1 binary64)))
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (PI.f64)) a)) (cos.f64 (+.f64 (+.f64 b (PI.f64)) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 b (PI.f64)))) (cos.f64 (+.f64 a (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (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) #s(literal 0 binary64)) (*.f64 (sin.f64 b) #s(literal 1 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))))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b)
(*.f64 b (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r))
(fma.f64 b r (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(fma.f64 b r (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(fma.f64 r b (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(+.f64 (*.f64 b r) (*.f64 b (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r r)) (-.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r))
(/.f64 (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))) (-.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 b b) r) #s(literal 3 binary64)) #s(literal 1/27 binary64) (*.f64 (*.f64 r r) r)) (fma.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (-.f64 (*.f64 r r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r))))
(/.f64 (fma.f64 (*.f64 r r) r (*.f64 (pow.f64 (*.f64 (*.f64 b b) r) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 r r (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) (*.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r)
(fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r)
(-.f64 r (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 b b) r)))
(+.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)
(+.f64 r (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 (*.f64 b b) r)
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(-.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 a b))
(fma.f64 (sin.f64 a) (cos.f64 b) (*.f64 (cos.f64 a) (sin.f64 b)))
(fma.f64 (sin.f64 b) (cos.f64 a) (*.f64 (cos.f64 b) (sin.f64 a)))
(+.f64 (*.f64 (sin.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (sin.f64 b)))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (sin.f64 a)))
#s(literal 0 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (-.f64 a (neg.f64 b))))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (-.f64 a (neg.f64 b)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 a (neg.f64 b)))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 a (neg.f64 b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r) b))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r))
#s(approx (* (* b b) r) (*.f64 (*.f64 b b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 b) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/6 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (cos.f64 b))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 a (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (sin.f64 b) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal -1/120 binary64) (*.f64 (sin.f64 b) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (sin b)) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (neg.f64 (sin.f64 b))) a))
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (neg a) (neg.f64 a))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))) a)) (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))) (fma.f64 r (/.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 b)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))) (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) a) (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) a (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (fma.f64 (*.f64 (sin.f64 b) #s(literal 1/6 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 b)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) a)) a (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (sin (+ a b)) (sin.f64 b))
#s(approx (sin (+ a b)) (fma.f64 (cos.f64 b) a (sin.f64 b)))
#s(approx (sin (+ a b)) (fma.f64 a (fma.f64 (*.f64 (sin.f64 b) a) #s(literal -1/2 binary64) (cos.f64 b)) (sin.f64 b)))
#s(approx (sin (+ a b)) (fma.f64 (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal -1/2 binary64))) (cos.f64 b)) a (sin.f64 b)))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b) (*.f64 (neg.f64 a) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b)))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) a (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) a (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) a (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (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 (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (+.f64 (/.f64 (cos.f64 b) a) (neg.f64 (sin.f64 b))) a))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b))))
#s(approx (sin (+ a b)) (sin.f64 (+.f64 a b)))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (cos.f64 b) a)) (sin.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 b (neg.f64 a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 b (neg.f64 a)))))
#s(approx (sin (+ a b)) (sin.f64 (-.f64 b (neg.f64 a))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (*.f64 (cos.f64 (-.f64 b (neg.f64 a))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 b b) r) 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) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (cos b) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #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 (sin.f64 a) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/5040 binary64) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (*.f64 b b))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r))
#s(approx (* b b) (*.f64 b b))
#s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (pow (sin b) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 b b) #s(literal 7/360 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (* b b) 1/6) 1) (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 a b) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 (+.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (neg.f64 (/.f64 (*.f64 (*.f64 b r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) r) (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (*.f64 r (/.f64 (fma.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 a)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 2 binary64))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (*.f64 (fma.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 a)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) b)) b (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (sin (+ a b)) (fma.f64 (cos.f64 a) b (sin.f64 a)))
#s(approx (sin (+ a b)) (fma.f64 b (fma.f64 (*.f64 (sin.f64 a) b) #s(literal -1/2 binary64) (cos.f64 a)) (sin.f64 a)))
#s(approx (sin (+ a b)) (fma.f64 (fma.f64 b (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/6 binary64) (*.f64 (sin.f64 a) #s(literal -1/2 binary64))) (cos.f64 a)) b (sin.f64 a)))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a) (*.f64 (neg.f64 b) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a)))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) b (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) b (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) b (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b)))
#s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
#s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))
#s(approx (/ (+ (* (* b b) 1/6) 1) b) (fma.f64 #s(literal 1/6 binary64) b (/.f64 #s(literal 1 binary64) b)))
#s(approx (+ (* (* b b) 1/6) 1) (*.f64 (*.f64 b b) #s(literal 1/6 binary64)))
#s(approx (+ (* (* b b) 1/6) 1) (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (fma.f64 #s(literal -1/3 binary64) r (neg.f64 (/.f64 r (*.f64 b b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 a (neg.f64 b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 a (neg.f64 b)))))
#s(approx (sin (+ a b)) (sin.f64 (-.f64 a (neg.f64 b))))
#s(approx (* (cos (+ a b)) (sin (/ (PI) 2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (+.f64 a b))))

eval52.0ms (0.9%)

Memory
-31.5MiB live, 115.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 4 995 to 1 795 computations (64.1% saved)

prune73.0ms (1.2%)

Memory
24.5MiB live, 118.8MiB allocated; 2ms collecting garbage
Pruning

77 alts after pruning (75 fresh and 2 done)

PrunedKeptTotal
New32233355
Fresh94251
Picked415
Done011
Total33577412
Accuracy
99.9%
Counts
412 → 77
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
45.6%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
70.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) 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))))
✓70.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
56.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
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)))
52.6%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
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)))
29.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))))
45.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
30.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
46.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
23.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
45.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
4.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
48.4%
(/.f64 (*.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
53.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
▶69.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
▶99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
99.1%
(/.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))))
71.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 b (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 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (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 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (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 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
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) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.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 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
47.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
▶34.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
45.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 a))))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
30.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
30.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
47.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (sin.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))))
22.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
45.5%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (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))))
45.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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))))
45.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
45.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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))))
70.1%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
45.6%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
70.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
▶30.3%
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
45.4%
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
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))))
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))))
29.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
13.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) 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 b (*.f64 b r)) r) b)))
29.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
11.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
▶14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
Compiler

Compiled 2 985 to 2 698 computations (9.6% saved)

series101.0ms (1.7%)

Memory
12.8MiB live, 155.1MiB allocated; 17ms collecting garbage
Counts
39 → 148
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 b b) b) r)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal 1/3 binary64)
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(*.f64 b r)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) a)
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(sin.f64 (+.f64 a b))
(+.f64 a b)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(cos.f64 (+.f64 a b))
#s(literal 1 binary64)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (* (* (* (* b b) b) r) 1/3) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (* (* b b) b) r) #s(hole binary64 (* (pow b 3) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI))))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos (+ a b)) (* (cos (* 1/2 (PI))) (sin (+ a b)))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (+ (* -1 (/ (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))) (/ (* r (* (sin b) (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (/ (* b r) (sin (* 1/2 (PI))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (+ (* -1 (/ (* a (* b (* r (cos (* 1/2 (PI)))))) (pow (sin (* 1/2 (PI))) 2))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* -1/2 (* a (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* a (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin b))) (* a (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))) (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)) 2))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* r (* (sin b) (pow (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)) 2))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))))) (/ (* r (* (sin b) (- (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* -1/6 (sin b))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2)))))) (+ (* -1 (/ (* r (* (sin b) (pow (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)) 2))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (+ (* a (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (+ (* a (- (+ (* a (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))) (* (cos b) (cos (* 1/2 (PI))))) (sin b))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (+ (* a (- (+ (* a (+ (* -1/2 (cos b)) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin b))) (* a (- (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* -1/6 (sin b))))))) (* (cos b) (cos (* 1/2 (PI))))) (sin b))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin b)))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (cos b)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* -1/2 (* a (sin b))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* a (+ (* -1/2 (sin b)) (* -1/6 (* a (cos b))))))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (PI) a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos (+ a b)) (* (cos (* 1/2 (PI))) (sin (+ a b))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (cos (+ a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI))))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) (* -1 a))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 a)))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (* -1 (* a (- (* -1/2 (/ (PI) a)) 1)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos (- b (* -1 a))) (* (cos (* 1/2 (PI))) (sin (- b (* -1 a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos (- b (* -1 a))) (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -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 (+ 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -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 (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 (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (+ (/ (* r (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)) (/ (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))))) (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* b (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* b r) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)) 2)) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a)))) (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (+ (/ (* r (- (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* -1/6 (sin a)))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)) (/ (* (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)) 2)) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))))) (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (pow (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)) 2)) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (+ (* b (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (+ (* b (- (+ (* b (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (* (cos a) (cos (* 1/2 (PI))))) (sin a))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (+ (* b (- (+ (* b (+ (* -1/2 (cos a)) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* b (- (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* -1/6 (sin a))))))) (* (cos a) (cos (* 1/2 (PI))))) (sin a))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (cos a)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* -1/2 (* b (sin a))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* b (+ (* -1/2 (sin a)) (* -1/6 (* b (cos a))))))))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))))
#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 (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos (- a (* -1 b))) (* (cos (* 1/2 (PI))) (sin (- a (* -1 b))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos (- a (* -1 b))) (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (cos (- a (* -1 b)))))
Calls

9 calls:

TimeVariablePointExpression
38.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (* b r) (sin (+ (* 1/2 (PI)) a)) (+ (* 1/2 (PI)) a) 1/2 (PI) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin (+ a b)) (+ a b) (cos (/ (PI) 2)) (/ (PI) 2) 2 (* (cos (+ a b)) 1) (cos (+ a b)) 1)
13.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (* b r) (sin (+ (* 1/2 (PI)) a)) (+ (* 1/2 (PI)) a) 1/2 (PI) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin (+ a b)) (+ a b) (cos (/ (PI) 2)) (/ (PI) 2) 2 (* (cos (+ a b)) 1) (cos (+ a b)) 1)
9.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (* b r) (sin (+ (* 1/2 (PI)) a)) (+ (* 1/2 (PI)) a) 1/2 (PI) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin (+ a b)) (+ a b) (cos (/ (PI) 2)) (/ (PI) 2) 2 (* (cos (+ a b)) 1) (cos (+ a b)) 1)
8.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (* b r) (sin (+ (* 1/2 (PI)) a)) (+ (* 1/2 (PI)) a) 1/2 (PI) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin (+ a b)) (+ a b) (cos (/ (PI) 2)) (/ (PI) 2) 2 (* (cos (+ a b)) 1) (cos (+ a b)) 1)
7.0ms
b
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (sin a) a (neg (sin b)) (* (cos a) (cos b)) (cos a) (cos b) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (* b r) (sin (+ (* 1/2 (PI)) a)) (+ (* 1/2 (PI)) a) 1/2 (PI) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin (+ a b)) (+ a b) (cos (/ (PI) 2)) (/ (PI) 2) 2 (* (cos (+ a b)) 1) (cos (+ a b)) 1)

rewrite216.0ms (3.6%)

Memory
-22.7MiB live, 307.2MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09276745
09795434
158775049
080564781
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
187 → 361
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 b b) b) r)
(*.f64 (*.f64 b b) b)
(*.f64 b b)
#s(literal 1/3 binary64)
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(*.f64 b r)
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) a)
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(sin.f64 (+.f64 a b))
(+.f64 a b)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(cos.f64 (+.f64 a b))
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (* (* (* (* b b) b) r) 1/3) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (* (* b b) b) r) #s(hole binary64 (* (pow b 3) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI))))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (* b r) #s(hole binary64 (* b r)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos (+ a b)) (* (cos (* 1/2 (PI))) (sin (+ a b)))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* b (* r (- (* -1/3 (pow b 2)) 1))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 1))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (+ (* -1 (/ (* (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))) (/ (* r (* (sin b) (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))))) (+ (* -1 (/ (* r (* (sin b) (pow (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))) 2))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI))))))) (pow (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (/ (* b r) (sin (* 1/2 (PI))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (+ (* -1 (/ (* a (* b (* r (cos (* 1/2 (PI)))))) (pow (sin (* 1/2 (PI))) 2))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))) (+ (* -1/6 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2))))))) (+ (* -1 (/ (* b (* r (pow (cos (* 1/2 (PI))) 2))) (pow (sin (* 1/2 (PI))) 3))) (* -1/2 (/ (* b r) (sin (* 1/2 (PI)))))))) (/ (* b (* r (cos (* 1/2 (PI))))) (pow (sin (* 1/2 (PI))) 2)))) (/ (* b r) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* -1/2 (* a (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (cos (* 1/2 (PI))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* a (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (* (cos b) (cos (* 1/2 (PI)))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* a (+ (* -1 (* (sin b) (sin (* 1/2 (PI))))) (+ (* a (+ (* -1/2 (* (cos b) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin b))) (* a (+ (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* 1/6 (* (sin b) (sin (* 1/2 (PI)))))))))) (* (cos b) (cos (* 1/2 (PI))))))) (+ (* (cos b) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (sin b) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))) (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)) 2))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (* (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* r (* (sin b) (pow (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)) 2))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))))) (/ (* r (* (sin b) (- (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* -1/6 (sin b))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2)))))) (+ (* -1 (/ (* r (* (sin b) (pow (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)) 2))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 3))) (/ (* r (* (sin b) (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b)))))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2))))) (/ (* r (* (sin b) (- (* (cos b) (cos (* 1/2 (PI)))) (sin b)))) (pow (+ (cos b) (* (cos (* 1/2 (PI))) (sin b))) 2)))) (/ (* r (sin b)) (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (* (cos (* 1/2 (PI))) (sin b)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (+ (* a (- (* (cos b) (cos (* 1/2 (PI)))) (sin b))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (+ (* a (- (+ (* a (+ (* -1/2 (cos b)) (* -1/2 (* (cos (* 1/2 (PI))) (sin b))))) (* (cos b) (cos (* 1/2 (PI))))) (sin b))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos b) (+ (* a (- (+ (* a (+ (* -1/2 (cos b)) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin b))) (* a (- (* -1/6 (* (cos b) (cos (* 1/2 (PI))))) (* -1/6 (sin b))))))) (* (cos b) (cos (* 1/2 (PI))))) (sin b))) (* (cos (* 1/2 (PI))) (sin b))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin b)))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (cos b)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* -1/2 (* a (sin b))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin b) (* a (+ (cos b) (* a (+ (* -1/2 (sin b)) (* -1/6 (* a (cos b))))))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (PI) a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (+ a b))) (* (cos (+ a b)) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos (+ a b)) (* (cos (* 1/2 (PI))) (sin (+ a b))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (cos (+ a b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI))))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) #s(hole binary64 (/ (* b r) (sin (- (* 1/2 (PI)) (* -1 a))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 a)))))
#s(approx (+ (* 1/2 (PI)) a) #s(hole binary64 (* -1 (* a (- (* -1/2 (/ (PI) a)) 1)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))) (* (cos (- b (* -1 a))) (sin (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos (- b (* -1 a))) (* (cos (* 1/2 (PI))) (sin (- b (* -1 a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos (- b (* -1 a))) (* (cos (* 1/2 (PI))) (sin (- b (* -1 a)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -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 (+ 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 (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos a) (cos b)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -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 (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 (* (* b b) b) #s(hole binary64 (pow b 3)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* b r) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (+ (/ (* r (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI))))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)) (/ (* (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) (- (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))))) (* -1/6 (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (pow (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI))))) 2)) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (pow (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* (cos a) (cos (* 1/2 (PI)))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (+ (* b (+ (* -1/2 (* (cos a) (sin (* 1/2 (PI))))) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* b (+ (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* 1/6 (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos a) (cos (* 1/2 (PI))))))) (+ (* (cos a) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* b r) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)) 2)) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* r (* (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a)))) (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (+ (/ (* r (- (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* -1/6 (sin a)))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)) (/ (* (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (pow (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)) 2)) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))))) (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (pow (- (* (cos a) (cos (* 1/2 (PI)))) (sin a)) 2)) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ (* r (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (+ (* b (- (* (cos a) (cos (* 1/2 (PI)))) (sin a))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (+ (* b (- (+ (* b (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (* (cos a) (cos (* 1/2 (PI))))) (sin a))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos a) (+ (* b (- (+ (* b (+ (* -1/2 (cos a)) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* b (- (* -1/6 (* (cos a) (cos (* 1/2 (PI))))) (* -1/6 (sin a))))))) (* (cos a) (cos (* 1/2 (PI))))) (sin a))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (cos a)))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* -1/2 (* b (sin a))))))))
#s(approx (sin (+ a b)) #s(hole binary64 (+ (sin a) (* b (+ (cos a) (* b (+ (* -1/2 (sin a)) (* -1/6 (* b (cos a))))))))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* (pow b 3) (+ (* 1/3 r) (/ r (pow b 2))))))
#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 (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))) (* (cos (- a (* -1 b))) (sin (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) #s(hole binary64 (/ (* r (sin b)) (+ (cos (- a (* -1 b))) (* (cos (* 1/2 (PI))) (sin (- a (* -1 b))))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) #s(hole binary64 (+ (cos (- a (* -1 b))) (* (cos (* 1/2 (PI))) (sin (- a (* -1 b)))))))
#s(approx (sin (+ a b)) #s(hole binary64 (sin (- a (* -1 b)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (cos (+ a b)) 1) #s(hole binary64 (cos (- a (* -1 b)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a)))
(*.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)))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.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))))))
(sin.f64 (+.f64 (neg.f64 (-.f64 a (neg.f64 b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) #s(literal 0 binary64) (*.f64 (cos.f64 (-.f64 (neg.f64 b) a)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 a (neg.f64 b)))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (-.f64 a (neg.f64 b)))
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(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (cos.f64 (+.f64 a b)))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b)))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)))))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (+.f64 a b)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b))))) (*.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (cos.f64 (+.f64 a b))))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))
(fma.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (cos.f64 (+.f64 a b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (cos.f64 (+.f64 a b)))
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a)))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r) b))
#s(approx (* (* (* (* b b) b) r) 1/3) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))
#s(approx (* (* (* b b) b) r) (*.f64 (*.f64 (*.f64 b b) b) r))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (* b r) (*.f64 b r))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 b) (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 b b)) #s(literal 1 binary64)) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #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 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 a (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a)) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (fma.f64 r (/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (neg.f64 (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))) a)) (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))) (fma.f64 r (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 b)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64))))) (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))))) (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (sin.f64 b)) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 3 binary64)))))) a) (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 b)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (fma.f64 b (/.f64 r (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) r) b) a) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) r) b) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))))) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) r) b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) a (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) r) b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) r) b) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) a)) (fma.f64 (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) r) b) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))))) a) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) r) b) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) a (/.f64 (*.f64 b r) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* 1/2 (PI)) a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (PI)) a)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) a (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* 1/2 (PI)) a)) (fma.f64 a (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (* 1/2 (PI)) a)) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) a) #s(literal -1/6 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) a) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (-.f64 (neg.f64 b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) a (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 b)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) a)) a (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)))) a (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (fma.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))) (neg.f64 (*.f64 a (*.f64 r (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 2 binary64))))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (*.f64 r (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 2 binary64))))) a (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (fma.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (+.f64 (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b))) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)))))) (neg.f64 (*.f64 r (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b))) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) (fma.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) a) (*.f64 r (/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) (sin.f64 b)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) #s(literal 2 binary64))))) a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (+.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b)) a)) (cos.f64 b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))) a (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b))) a (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b))) (cos.f64 b)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b)) (*.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b))) a)) a (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 b)) (sin.f64 b))) a (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b))) (cos.f64 b)))
#s(approx (sin (+ a b)) (sin.f64 b))
#s(approx (sin (+ a b)) (fma.f64 (cos.f64 b) a (sin.f64 b)))
#s(approx (sin (+ a b)) (fma.f64 a (fma.f64 (*.f64 (sin.f64 b) a) #s(literal -1/2 binary64) (cos.f64 b)) (sin.f64 b)))
#s(approx (sin (+ a b)) (fma.f64 (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 b) a) (*.f64 (sin.f64 b) #s(literal -1/2 binary64))) (cos.f64 b)) a (sin.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (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 b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (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) (neg (sin b))) (* (cos a) (cos b))) (cos.f64 (-.f64 (neg.f64 b) a)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos a) (cos b)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (sin (+ (* 1/2 (PI)) a)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (+ (* 1/2 (PI)) a) (*.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) #s(literal 1 binary64)) a))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ a b)) (sin.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 b (neg.f64 a))))))
#s(approx (/ (* b r) (sin (+ (* 1/2 (PI)) a))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 a)))))
#s(approx (sin (+ (* 1/2 (PI)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 a))))
#s(approx (+ (* 1/2 (PI)) a) (*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 b (neg.f64 a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 (-.f64 b (neg.f64 a))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (-.f64 b (neg.f64 a))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (sin.f64 (-.f64 b (neg.f64 a))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (sin (+ a b)) (sin.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos a) (cos b))) (fma.f64 b (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b))
#s(approx (* (cos a) (cos b)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) (cos.f64 a) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a)))
#s(approx (* (cos a) (cos b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) (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) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (tan b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 17/315 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 2/15 binary64) r)) (*.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) r) b))
#s(approx (* (* b b) b) (*.f64 (*.f64 b b) b))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (*.f64 (+.f64 (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (neg.f64 (/.f64 (*.f64 (*.f64 b r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (/.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) r) (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 a)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))))) (/.f64 (*.f64 #s(literal -1/6 binary64) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) #s(literal 2 binary64)) r) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) #s(literal 3 binary64)))))) b) (/.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) r) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))))) b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) b))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) b (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 a)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) b)) b (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)))) b (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (*.f64 (+.f64 (/.f64 r (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (neg.f64 (/.f64 (*.f64 (*.f64 b r) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64)))))) b) (*.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))))) b (/.f64 r (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (+.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64)))))) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (*.f64 r (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))))) (neg.f64 (*.f64 r (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64)))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64))))))) b) (*.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))))) b (/.f64 r (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)))) b))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (+.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a)) b)) (cos.f64 a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))) b (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a))) b (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a))) (cos.f64 a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a)) (*.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a))) b)) b (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 a)) (sin.f64 a))) b (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a))) (cos.f64 a)))
#s(approx (sin (+ a b)) (fma.f64 (cos.f64 a) b (sin.f64 a)))
#s(approx (sin (+ a b)) (fma.f64 b (fma.f64 (*.f64 (sin.f64 a) b) #s(literal -1/2 binary64) (cos.f64 a)) (sin.f64 a)))
#s(approx (sin (+ a b)) (fma.f64 (fma.f64 b (fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/6 binary64) (*.f64 (sin.f64 a) #s(literal -1/2 binary64))) (cos.f64 a)) b (sin.f64 a)))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (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 b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (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 (sin.f64 b)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a)))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) r (neg.f64 (/.f64 r (*.f64 b b)))) (*.f64 (*.f64 b b) b))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 a (neg.f64 b))))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 a (neg.f64 b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (-.f64 (neg.f64 b) a)))))
#s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (sin.f64 (-.f64 a (neg.f64 b))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (-.f64 (neg.f64 b) a))))
#s(approx (sin (+ a b)) (sin.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 (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (cos.f64 (-.f64 (neg.f64 b) a)))

eval47.0ms (0.8%)

Memory
20.2MiB live, 112.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 611 to 1 688 computations (69.9% saved)

prune81.0ms (1.4%)

Memory
4.9MiB live, 191.2MiB allocated; 13ms collecting garbage
Pruning

89 alts after pruning (84 fresh and 5 done)

PrunedKeptTotal
New31019329
Fresh56570
Picked235
Done022
Total31789406
Accuracy
99.9%
Counts
406 → 89
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
45.6%
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
70.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) 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))))
✓70.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
56.2%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
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)))
52.6%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
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)))
29.0%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))))
45.6%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
30.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
46.1%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
23.4%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
45.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
4.3%
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
48.4%
(/.f64 (*.f64 r (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
53.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))) (*.f64 (cos.f64 a) (cos.f64 b))))
71.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
57.1%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
49.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
✓99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
49.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #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 (*.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)))))
36.8%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (fma.f64 (sin.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.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 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
47.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
35.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
✓34.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
34.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
69.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
55.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
45.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 a))))
48.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
30.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
47.2%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64))) (sin.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))))
22.1%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
45.5%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
45.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (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))))
46.2%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
45.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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))))
45.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
45.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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))))
70.1%
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
45.6%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
70.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
34.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
29.6%
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
30.3%
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
45.4%
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
45.3%
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
55.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
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))))
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))))
29.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
13.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) 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 b (*.f64 b r)) r) b)))
29.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
11.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
✓14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
7.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
7.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
14.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
Compiler

Compiled 3 091 to 2 271 computations (26.5% saved)

regimes286.0ms (4.8%)

Memory
-27.0MiB live, 265.0MiB allocated; 169ms collecting garbage
Counts
121 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
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(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 (+.f64 b (PI.f64))) (sin.f64 a))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal -1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 a) #s(literal -1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 b) #s(literal -1 binary64))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (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 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b))) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (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 a) (cos.f64 b))))
(/.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 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 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 a) (cos.f64 b))))
Calls

4 calls:

91.0ms
r
73.0ms
b
69.0ms
a
46.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes123.0ms (2.1%)

Memory
22.8MiB live, 163.6MiB allocated; 28ms collecting garbage
Counts
100 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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))))
#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 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.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:

37.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.0ms
r
28.0ms
a
24.0ms
b
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes111.0ms (1.9%)

Memory
-21.4MiB live, 169.2MiB allocated; 17ms collecting garbage
Counts
99 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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))))
#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 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.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:

28.0ms
a
27.0ms
b
25.0ms
r
23.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes103.0ms (1.7%)

Memory
6.1MiB live, 144.2MiB allocated; 7ms collecting garbage
Counts
97 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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))))
#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 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 b b)) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (*.f64 (cos.f64 a) (cos.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.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)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
Calls

4 calls:

25.0ms
a
25.0ms
r
24.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
24.0ms
b
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)

regimes27.0ms (0.5%)

Memory
38.5MiB live, 38.5MiB allocated; 0ms collecting garbage
Counts
95 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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))))
#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 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
Calls

1 calls:

23.0ms
b
Results
AccuracySegmentsBranch
73.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes79.0ms (1.3%)

Memory
-8.1MiB live, 38.8MiB allocated; 66ms collecting garbage
Counts
94 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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))))
#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 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b)) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 #s(approx (neg (sin b)) (*.f64 (-.f64 (*.f64 (fma.f64 #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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
Calls

1 calls:

75.0ms
b
Results
AccuracySegmentsBranch
73.7%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes32.0ms (0.5%)

Memory
-11.4MiB live, 37.7MiB allocated; 8ms collecting garbage
Counts
92 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
Calls

1 calls:

28.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.4%)

Memory
-14.1MiB live, 31.9MiB allocated; 2ms collecting garbage
Counts
88 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
Calls

1 calls:

21.0ms
b
Results
AccuracySegmentsBranch
73.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.4%)

Memory
32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Counts
87 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (+.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
Calls

1 calls:

21.0ms
b
Results
AccuracySegmentsBranch
73.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes26.0ms (0.4%)

Memory
-9.4MiB live, 36.6MiB allocated; 2ms collecting garbage
Counts
84 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 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 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 b) (sin.f64 a))))
Calls

1 calls:

22.0ms
b
Results
AccuracySegmentsBranch
73.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.5%)

Memory
-8.9MiB live, 41.6MiB allocated; 6ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b #s(approx (- (* (* (cos a) b) -1/2) (sin a)) (*.f64 #s(literal -1/2 binary64) b)) (cos.f64 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 (+.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 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) #s(literal -1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (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) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #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 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal 2 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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2)))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) 1)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 b) (cos.f64 b))))
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)

regimes95.0ms (1.6%)

Memory
-0.4MiB live, 90.1MiB allocated; 10ms collecting garbage
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(*.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:

49.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
18.0ms
r
13.0ms
a
12.0ms
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)

regimes55.0ms (0.9%)

Memory
22.4MiB live, 68.4MiB allocated; 3ms collecting garbage
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.f64 (/.f64 (*.f64 r #s(literal 1 binary64)) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
(/.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)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal 1 binary64)) b))) #s(literal -1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) b)))) (cos.f64 (+.f64 a b)))
Outputs
#s(approx (/ (* r (sin b)) (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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

16.0ms
a
12.0ms
b
12.0ms
r
12.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a 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)

regimes14.0ms (0.2%)

Memory
-41.9MiB live, 13.0MiB allocated; 4ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 #s(approx (+ (* 1/2 (PI)) a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.f64 b (/.f64 r (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (/.f64 (*.f64 b r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg a) (sin b)) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* (* (cos a) b) -1/2) (sin a))) (cos a)) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) #s(approx (/ (+ (* (* b b) 1/6) 1) b) (*.f64 #s(literal 1/6 binary64) b))))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (/.f64 #s(literal 1 binary64) #s(approx (pow (sin b) -1) (/.f64 #s(literal 1 binary64) b)))) (cos.f64 (+.f64 a b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
70.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (sin (+ a b)) (cos (/ (PI) 2))) (* (cos (+ a b)) (sin (/ (PI) 2))))) (*.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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
70.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes21.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (tan.f64 b) r))
Calls

3 calls:

6.0ms
b
6.0ms
r
6.0ms
a
Results
AccuracySegmentsBranch
55.1%1r
55.1%1a
55.1%1b
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes32.0ms (0.5%)

Memory
-18.0MiB live, 28.7MiB allocated; 2ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) 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))) #s(approx (* r (tan b)) (fma.f64 r b (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
Calls

4 calls:

13.0ms
a
6.0ms
r
6.0ms
b
6.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
29.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.4%1r
29.4%1a
29.4%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes13.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
Calls

4 calls:

3.0ms
a
3.0ms
r
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
b
Results
AccuracySegmentsBranch
29.4%1b
29.4%1r
29.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.4%1a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes11.0ms (0.2%)

Memory
-31.2MiB live, 14.8MiB allocated; 2ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
Calls

4 calls:

4.0ms
a
2.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.0ms
r
2.0ms
b
Results
AccuracySegmentsBranch
29.4%1b
29.4%1r
29.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
29.4%1a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes9.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
Calls

4 calls:

2.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.0ms
a
2.0ms
b
2.0ms
r
Results
AccuracySegmentsBranch
14.4%1b
14.4%1r
14.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.4%1a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes5.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
1.0ms
r
1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
14.4%1r
14.4%1b
14.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.4%1a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch52.0ms (0.9%)

Memory
-13.7MiB live, 81.3MiB allocated; 12ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
0.061511211729827195
116150473.41988131
21.0ms
-1325094354391.2463
-102959708383.45718
Samples
27.0ms168×1valid
7.0ms72×0valid
Compiler

Compiled 642 to 629 computations (2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 10.0ms (37.1% of total)
ival-sin: 8.0ms (29.7% of total)
ival-add!: 3.0ms (11.1% of total)
adjust: 3.0ms (11.1% of total)
ival-div!: 2.0ms (7.4% of total)
ival-mult!: 1.0ms (3.7% of total)

bsearch53.0ms (0.9%)

Memory
-4.5MiB live, 39.9MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
0.061511211729827195
116150473.41988131
12.0ms
-0.9695314756998145
-0.07518208377017511
Samples
11.0ms93×1valid
5.0ms99×0valid
Compiler

Compiled 762 to 599 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 5.0ms (44% of total)
adjust: 2.0ms (17.6% of total)
ival-sin: 2.0ms (17.6% of total)
ival-add!: 1.0ms (8.8% of total)
ival-div!: 1.0ms (8.8% of total)
ival-mult!: 1.0ms (8.8% of total)

bsearch14.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.061511211729827195
116150473.41988131
1.0ms
-1325094354391.2463
-102959708383.45718
Samples
5.0ms38×1valid
3.0ms26×0valid
Compiler

Compiled 582 to 584 computations (-0.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 2.0ms (32.2% of total)
ival-cos: 2.0ms (32.2% of total)
adjust: 1.0ms (16.1% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch21.0ms (0.4%)

Memory
-21.6MiB live, 23.2MiB allocated; 7ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.061511211729827195
116150473.41988131
5.0ms
-0.9695314756998145
-0.07518208377017511
Samples
6.0ms52×1valid
2.0ms44×0valid
Compiler

Compiled 687 to 569 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (33.7% of total)
adjust: 1.0ms (16.9% of total)
ival-sin: 1.0ms (16.9% of total)
ival-div!: 1.0ms (16.9% of total)
ival-add!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.7MiB live, 4.7MiB 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 687 to 569 computations (17.2% saved)

bsearch15.0ms (0.3%)

Memory
30.4MiB live, 30.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
0.061511211729827195
116150473.41988131
6.0ms
-0.9695314756998145
-0.07518208377017511
Samples
6.0ms51×1valid
2.0ms45×0valid
Compiler

Compiled 582 to 524 computations (10% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (34.2% of total)
adjust: 1.0ms (17.1% of total)
ival-sin: 1.0ms (17.1% of total)
ival-div!: 1.0ms (17.1% of total)
ival-add!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
-39.1MiB live, 4.6MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
0.061511211729827195
116150473.41988131
1.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 582 to 524 computations (10% saved)

bsearch30.0ms (0.5%)

Memory
-16.4MiB live, 46.6MiB allocated; 15ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.061511211729827195
116150473.41988131
10.0ms
-0.9695314756998145
-0.07518208377017511
Samples
9.0ms80×1valid
4.0ms80×0valid
Compiler

Compiled 387 to 419 computations (-8.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 4.0ms (42.2% of total)
adjust: 2.0ms (21.1% of total)
ival-sin: 2.0ms (21.1% of total)
ival-add!: 1.0ms (10.6% of total)
ival-div!: 1.0ms (10.6% of total)
ival-mult!: 1.0ms (10.6% of total)

bsearch8.0ms (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
1.0ms
-0.9695314756998145
-0.07518208377017511
Samples
3.0ms28×1valid
1.0ms20×0valid
Compiler

Compiled 201 to 221 computations (-10% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
adjust: 1.0ms (33% of total)
ival-cos: 1.0ms (33% of total)
ival-add!: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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
0.0ms
-0.9695314756998145
-0.07518208377017511
Compiler

Compiled 219 to 239 computations (-9.1% saved)

derivations718.0ms (12%)

Memory
17.4MiB live, 673.6MiB allocated; 98ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 302 to 192 computations (36.4% saved)

preprocess356.0ms (6%)

Memory
20.1MiB live, 542.6MiB allocated; 86ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 1 420 to 1 164 computations (18% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...