rsin A (should all be same)

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze244.0ms (5.2%)

Memory
-21.6MiB live, 262.7MiB allocated; 45ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (35%)

Memory
38.3MiB live, 1 418.4MiB allocated; 204ms collecting garbage
Samples
1.2s6 080×1valid
143.0ms2 176×0valid
Precisions
Click to see histograms. Total time spent on operations: 986.0ms
ival-cos: 412.0ms (41.8% of total)
ival-sin: 245.0ms (24.9% of total)
adjust: 134.0ms (13.6% of total)
ival-add!: 84.0ms (8.5% of total)
ival-div!: 69.0ms (7% of total)
ival-mult!: 42.0ms (4.3% of total)
Bogosity

preprocess64.0ms (1.4%)

Memory
-43.8MiB live, 58.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03895
117893
278193
3478393
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.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
39.5MiB live, 39.5MiB 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)

rewrite249.0ms (5.3%)

Memory
-29.8MiB live, 296.0MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0225925
0232887
11542828
08504794
129800794
Stop Event
iter-limit
node-limit
iter-limit
Counts
47 → 90
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 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (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 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (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))))))
(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 (sin.f64 a) (neg.f64 (sin.f64 b))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 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 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 (neg.f64 b)))))
(-.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 (fabs.f64 (+.f64 a b))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (fabs.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 (sin.f64 a) (neg.f64 (sin.f64 b))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b))) (-.f64 a (*.f64 #s(literal 1 binary64) b)))
(/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 #s(literal 1 binary64) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b)) (*.f64 a (*.f64 #s(literal 1 binary64) b)))))
(/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a (neg.f64 (neg.f64 b))))))
(/.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 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a (neg.f64 (neg.f64 b))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b))) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 a (neg.f64 b))
(+.f64 a (*.f64 #s(literal 1 binary64) b))
(+.f64 a (neg.f64 (neg.f64 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 (neg.f64 a) b))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 (neg.f64 a) b)))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) b)) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) r) (*.f64 #s(literal -1/2 binary64) r)) (cos.f64 a))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 b b) r) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (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 b))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval10.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 901 to 418 computations (53.6% saved)

prune13.0ms (0.3%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New602181
Fresh000
Picked101
Done000
Total612182
Accuracy
99.8%
Counts
82 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (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))))
39.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
63.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
61.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
51.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
58.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
49.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
49.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
77.2%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
77.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
61.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
49.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 614 to 512 computations (16.6% saved)

series79.0ms (1.7%)

Memory
-16.7MiB live, 82.7MiB allocated; 15ms collecting garbage
Counts
32 → 128
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(sin.f64 a)
(neg.f64 (sin.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
#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)))
(fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b))
(*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))
(*.f64 (cos.f64 b) a)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin 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) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #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 (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (sin a) (neg (sin b))) #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 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (- (* -1/2 (* a (cos b))) (sin b))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (* -1/2 (* a (cos b)))))
#s(approx (* (cos b) a) #s(hole binary64 (* a (cos b))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin a) (neg (sin b))) #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 (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* -1/2 (* (pow a 2) (cos b)))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* a (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* -1 (* a (+ (* 1/2 (cos b)) (/ (sin b) a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* 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) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #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 (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (sin a) (neg (sin b))) #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 (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* -1/2 a)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (+ (* -1 b) (* -1/2 a))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (+ (* -1/2 a) (* b (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (+ (* -1/2 a) (* b (- (* b (+ (* 1/6 b) (* 1/4 a))) 1)))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))))
#s(approx (* (cos b) a) #s(hole binary64 (+ a (* -1/2 (* a (pow b 2))))))
#s(approx (* (cos b) a) #s(hole binary64 (+ a (* (pow b 2) (+ (* -1/2 a) (* 1/24 (* a (pow b 2))))))))
#s(approx (* (cos b) a) #s(hole binary64 (+ a (* (pow b 2) (+ (* -1/2 a) (* (pow b 2) (+ (* -1/720 (* a (pow b 2))) (* 1/24 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 (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ 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)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
a
@-inf
((/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) r (sin b) b (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) a (cos b) (* (sin a) (neg (sin b))) (sin a) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (- (* (* (cos b) a) -1/2) (sin b)) (* (* (cos b) a) -1/2) (* (cos b) a) -1/2)
17.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) r (sin b) b (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) a (cos b) (* (sin a) (neg (sin b))) (sin a) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (- (* (* (cos b) a) -1/2) (sin b)) (* (* (cos b) a) -1/2) (* (cos b) a) -1/2)
7.0ms
a
@0
((/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) r (sin b) b (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) a (cos b) (* (sin a) (neg (sin b))) (sin a) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (- (* (* (cos b) a) -1/2) (sin b)) (* (* (cos b) a) -1/2) (* (cos b) a) -1/2)
6.0ms
b
@inf
((/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) r (sin b) b (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) a (cos b) (* (sin a) (neg (sin b))) (sin a) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (- (* (* (cos b) a) -1/2) (sin b)) (* (* (cos b) a) -1/2) (* (cos b) a) -1/2)
5.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (* r (sin b)) r (sin b) b (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) a (cos b) (* (sin a) (neg (sin b))) (sin a) (neg (sin b)) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (- (* (* (cos b) a) -1/2) (sin b)) (* (* (cos b) a) -1/2) (* (cos b) a) -1/2)

rewrite221.0ms (4.7%)

Memory
25.0MiB live, 248.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07253709
07703053
155293008
082812850
1235772850
Stop Event
iter-limit
node-limit
iter-limit
Counts
160 → 411
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(sin.f64 a)
(neg.f64 (sin.f64 b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
(*.f64 r (tan.f64 b))
(tan.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(cos.f64 #s(approx (+ a b) b))
#s(approx (+ a b) b)
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 a b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
#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)))
(fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b))
(*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))
(*.f64 (cos.f64 b) a)
#s(literal -1/2 binary64)
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ a (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin 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) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (cos b)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #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 (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (sin a) (neg (sin b))) #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 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (cos (+ b (* 1/2 (PI)))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI)))))))) (sin (+ b (* 1/2 (PI)))))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 3))) (* -1/2 (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (sin (+ b (* 1/2 (PI)))) 2)))) (/ (* r (sin b)) (sin (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ b (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (sin (+ b (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ b (* 1/2 (PI)))) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (+ b (* 1/2 (PI))))) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ b (* 1/2 (PI)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (+ b (* 1/2 (PI))))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (- (* -1/2 (* a (cos b))) (sin b))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (* -1/2 (* a (cos b)))))
#s(approx (* (cos b) a) #s(hole binary64 (* a (cos b))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (* (sin a) (neg (sin b))) #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 (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (+ b (* 1/2 (PI)))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (PI) a)) (/ b a))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* -1/2 (* (pow a 2) (cos b)))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* (pow a 2) (- (+ (* -1/2 (cos b)) (/ (cos b) (pow a 2))) (/ (sin b) a)))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* a (+ (* -1 (/ (sin b) a)) (* -1/2 (cos b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ b (* 1/2 (PI))) (* -1 a))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ b (* 1/2 (PI))) (* -1 a)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (PI))) a)) 1)))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (sin b) (* -1 (/ (cos b) a))) a)) (* -1/2 (cos b))))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* -1 (* a (+ (* 1/2 (cos b)) (/ (sin b) a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* 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) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) #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 (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (sin a) (neg (sin b))) #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 (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* b r) (sin (+ a (* 1/2 (PI)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* -1 (/ (* b (* r (cos (+ a (* 1/2 (PI)))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (+ (* 1/2 (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2))) (/ (* (cos (+ a (* 1/2 (PI)))) (- (* -1/6 (/ r (sin (+ a (* 1/2 (PI)))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (sin (+ a (* 1/2 (PI))))))))) (* -1/6 (/ r (sin (+ a (* 1/2 (PI))))))) (+ (* -1 (/ (* r (pow (cos (+ a (* 1/2 (PI)))) 2)) (pow (sin (+ a (* 1/2 (PI)))) 3))) (* -1/2 (/ r (sin (+ a (* 1/2 (PI))))))))) (/ (* r (cos (+ a (* 1/2 (PI))))) (pow (sin (+ a (* 1/2 (PI)))) 2)))) (/ r (sin (+ a (* 1/2 (PI)))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (+ a (* 1/2 (PI))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (cos (+ a (* 1/2 (PI))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* -1/2 (* b (sin (+ a (* 1/2 (PI)))))))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ a (* 1/2 (PI)))) (* b (+ (cos (+ a (* 1/2 (PI)))) (* b (+ (* -1/2 (sin (+ a (* 1/2 (PI))))) (* -1/6 (* b (cos (+ a (* 1/2 (PI)))))))))))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (+ a (* 1/2 (PI)))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow a 2))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (* 1/4 (pow a 2)) 1/2))))))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow a 2)) (* b (+ (* -1 a) (* b (- (+ (* 1/6 (* a b)) (* 1/4 (pow a 2))) 1/2))))))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (* -1/2 a)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (+ (* -1 b) (* -1/2 a))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (+ (* -1/2 a) (* b (- (* 1/4 (* a b)) 1)))))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) #s(hole binary64 (+ (* -1/2 a) (* b (- (* b (+ (* 1/6 b) (* 1/4 a))) 1)))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (+ (* -1/2 a) (* 1/4 (* a (pow b 2))))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* -1/48 (* a (pow b 2))) (* 1/4 a))))))
#s(approx (* (* (cos b) a) -1/2) #s(hole binary64 (+ (* -1/2 a) (* (pow b 2) (+ (* 1/4 a) (* (pow b 2) (+ (* -1/48 a) (* 1/1440 (* a (pow b 2))))))))))
#s(approx (* (cos b) a) #s(hole binary64 (+ a (* -1/2 (* a (pow b 2))))))
#s(approx (* (cos b) a) #s(hole binary64 (+ a (* (pow b 2) (+ (* -1/2 a) (* 1/24 (* a (pow b 2))))))))
#s(approx (* (cos b) a) #s(hole binary64 (+ a (* (pow b 2) (+ (* -1/2 a) (* (pow b 2) (+ (* -1/720 (* a (pow b 2))) (* 1/24 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 (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ 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)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) #s(hole binary64 (sin (- (+ a (* 1/2 (PI))) (* -1 b)))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (+ a (* 1/2 (PI))) b)) 1)))))
Outputs
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))) (sin.f64 (-.f64 a (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (cos.f64 (+.f64 (neg.f64 b) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(neg.f64 (sin.f64 (-.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(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 (sin.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 b))) (*.f64 (cos.f64 a) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 b)))))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) (neg.f64 b)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))
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a
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(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (neg.f64 (sin.f64 b)))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (-.f64 a (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (+.f64 a b) (+.f64 a b) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))
(-.f64 (+.f64 a b) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 a (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
(+.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 a (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 b) (neg.f64 b))) (+.f64 a (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (neg.f64 b)))))
(neg.f64 (-.f64 (neg.f64 b) a))
(-.f64 a (neg.f64 b))
(+.f64 a (*.f64 #s(literal 1 binary64) b))
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a b)
(+.f64 b a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a))) (-.f64 (cos.f64 b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (cos.f64 b)))
(/.f64 (+.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)) (*.f64 (cos.f64 b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (cos.f64 b)))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (neg.f64 (cos.f64 b)))
(-.f64 (cos.f64 b) (*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b))))
(-.f64 (cos.f64 b) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)))
(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (cos.f64 b))
(+.f64 (cos.f64 b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)))) (-.f64 (neg.f64 (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64) (sin.f64 b)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 b) a) #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)))) (*.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)))))
(neg.f64 (-.f64 (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b)))
(fma.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64) (neg.f64 (sin.f64 b)))
(fma.f64 #s(literal -1 binary64) (sin.f64 b) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 b) (*.f64 #s(literal -1/2 binary64) a) (neg.f64 (sin.f64 b)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a) (neg.f64 (sin.f64 b)))
(fma.f64 (sin.f64 b) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b))
(-.f64 (neg.f64 (sin.f64 b)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 b) a)))
(-.f64 (neg.f64 (sin.f64 b)) (neg.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 b)))
(+.f64 (neg.f64 (sin.f64 b)) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b))
(*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64))
(*.f64 (cos.f64 b) (*.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 b) a))
(*.f64 (cos.f64 b) a)
(*.f64 a (cos.f64 b))
#s(literal -1/2 binary64)
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (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) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 (*.f64 (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (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 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (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) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (sin.f64 b) (neg.f64 (sin.f64 b))) a))
#s(approx (* (sin a) (neg (sin b))) (*.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 (* (sin a) (neg (sin b))) (*.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (tan.f64 b) r (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (sin.f64 b)) (+.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) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (/.f64 (*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (sin.f64 b)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) a (*.f64 (tan.f64 b) r)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) a) #s(literal -1/6 binary64) (*.f64 (cos.f64 b) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)))
#s(approx (* (* (cos b) a) -1/2) (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)))
#s(approx (* (cos b) a) (*.f64 (cos.f64 b) a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (*.f64 (*.f64 (*.f64 a a) (cos.f64 b)) #s(literal -1/2 binary64)))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (*.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 b)) a)) (*.f64 a a)))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (*.f64 (-.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (cos.f64 b) (*.f64 a a))) (/.f64 (sin.f64 b) a)) (*.f64 a a)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (*.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 b)) a)) a))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 a) b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (-.f64 (neg.f64 a) b)))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a)))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)) #s(literal 1 binary64))))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (*.f64 (fma.f64 (cos.f64 b) #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 b) a)) (sin.f64 b)) a))) (*.f64 a a)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (*.f64 (neg.f64 a) (fma.f64 (cos.f64 b) #s(literal 1/2 binary64) (/.f64 (sin.f64 b) a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/6 binary64)) (sin.f64 a) (neg.f64 (sin.f64 a))) b))
#s(approx (* (sin a) (neg (sin b))) (*.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 (* (sin a) (neg (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/5040 binary64) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (*.f64 b b))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (* r (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 (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (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 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) r) b) (+.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) (/ (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) (/.f64 (*.f64 (neg.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) (/ (PI) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 a)) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/6 binary64) (fma.f64 (neg.f64 (sin.f64 a)) (/.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)))))) (cos.f64 a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.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 (*.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) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) b) #s(literal -1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1/2 binary64)) b (neg.f64 a)) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1/2 binary64))) b (neg.f64 a)) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (*.f64 #s(literal -1/2 binary64) a))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 a b) #s(literal -1 binary64)) b (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (- (* (* (cos b) a) -1/2) (sin b)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) a (*.f64 #s(literal 1/6 binary64) b)) b #s(literal -1 binary64)) b (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (* (cos b) a) -1/2) (fma.f64 (*.f64 (*.f64 b b) a) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (* (cos b) a) -1/2) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 b b) a) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (* (cos b) a) -1/2) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 b b) a) (*.f64 #s(literal -1/48 binary64) a)) (*.f64 #s(literal 1/4 binary64) a)) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (cos b) a) (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -1/2 binary64) a))
#s(approx (* (cos b) a) (fma.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) a))
#s(approx (* (cos b) a) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a)) (*.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) 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 (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ (+ a b) (/ (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) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b)) #s(literal 1 binary64))))

eval82.0ms (1.7%)

Memory
-10.9MiB live, 164.8MiB allocated; 52ms collecting garbage
Compiler

Compiled 4 249 to 1 704 computations (59.9% saved)

prune70.0ms (1.5%)

Memory
10.2MiB live, 116.2MiB allocated; 53ms collecting garbage
Pruning

48 alts after pruning (47 fresh and 1 done)

PrunedKeptTotal
New32938367
Fresh7916
Picked415
Done000
Total34048388
Accuracy
99.9%
Counts
388 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
61.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (cos.f64 b) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))
78.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 b)))))
64.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 a) (sin.f64 b)))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
39.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
30.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
39.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
39.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
38.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
38.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
63.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
51.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a))) (-.f64 (cos.f64 b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)))))
34.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
49.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
49.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
34.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
34.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
60.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 #s(approx (+ a b) b)) (*.f64 (sin.f64 b) r)))
61.3%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))
77.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
61.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
61.4%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
49.9%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
34.1%
#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))))
34.1%
#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))))
34.2%
#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))))
34.2%
#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 1 593 to 1 432 computations (10.1% saved)

series51.0ms (1.1%)

Memory
-20.7MiB live, 71.9MiB allocated; 12ms collecting garbage
Counts
34 → 113
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r)
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
#s(literal 1 binary64)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* 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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* b (* r (+ 1 (* -1/6 (pow b 2)))))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* r (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (+ a b)) (* r (sin b)))))
#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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* -1 (* b (* r (- (* 1/6 (pow b 2)) 1))))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* -1 (* r (- (* 1/6 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (* (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 (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos b) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (- b (* -1 a))) (* r (sin b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 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 b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -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 (* -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 (+ (* 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 (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (+ r (* -1/6 (* (pow b 2) r)))))
#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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos a) (* b r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (sin a) (neg (sin b))) #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 (sin b) #s(hole binary64 (sin b)))
#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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* -1/6 (* (pow b 3) r))))
#s(approx (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* -1/6 (* (pow b 2) r))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* (pow b 2) (+ (* -1/6 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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (- a (* -1 b))) (* r (sin b)))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* (* b b) r) -1/6) r) b) (+ (* (* (* b b) r) -1/6) r) -1/6 (cos (+ a b)) (+ a b) (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (* (sin b) r) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (* (sin a) (neg (sin b))))
9.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* (* b b) r) -1/6) r) b) (+ (* (* (* b b) r) -1/6) r) -1/6 (cos (+ a b)) (+ a b) (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (* (sin b) r) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (* (sin a) (neg (sin b))))
6.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* (* b b) r) -1/6) r) b) (+ (* (* (* b b) r) -1/6) r) -1/6 (cos (+ a b)) (+ a b) (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (* (sin b) r) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (* (sin a) (neg (sin b))))
5.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* (* b b) r) -1/6) r) b) (+ (* (* (* b b) r) -1/6) r) -1/6 (cos (+ a b)) (+ a b) (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (* (sin b) r) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (* (sin a) (neg (sin b))))
4.0ms
b
@inf
((/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) (sin a) a (neg (sin b)) (* (cos b) (cos a)) (cos b) (cos a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (+ (* 1/3 (* (* b b) r)) r) 1/3 (* (* b b) r) (* b b) (/ (* r (sin b)) (cos (+ a b))) (* r (sin b)) (* (+ (* (* (* b b) r) -1/6) r) b) (+ (* (* (* b b) r) -1/6) r) -1/6 (cos (+ a b)) (+ a b) (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (* (sin b) r) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b))))) (+ (* (cos a) (cos b)) (* (sin a) (neg (sin b)))) (cos a) (* (sin a) (neg (sin b))))

rewrite213.0ms (4.5%)

Memory
15.7MiB live, 205.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05872862
06392607
139542592
083612467
1264912467
Stop Event
iter-limit
node-limit
iter-limit
Counts
147 → 406
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(neg.f64 (sin.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #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 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)
(fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r)
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
#s(literal 1 binary64)
(/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* 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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* b (* r (+ 1 (* -1/6 (pow b 2)))))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* r (+ 1 (* -1/6 (pow b 2))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (+ a b)) (* r (sin b)))))
#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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* -1 (* b (* r (- (* 1/6 (pow b 2)) 1))))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* -1 (* r (- (* 1/6 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (sin a) #s(hole binary64 a))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* -1/6 (pow a 2))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* 1/120 (pow a 2)) 1/6))))))
#s(approx (sin a) #s(hole binary64 (* a (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/120 (* -1/5040 (pow a 2)))) 1/6))))))
#s(approx (* (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 (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos b) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (cos a) #s(hole binary64 (cos a)))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (- b (* -1 a))) (* r (sin b)))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (/ (* r (sin b)) (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 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 b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (sin a) (neg (sin b))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 b)))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* 1/6 (pow b 2)) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* -1/120 (pow b 2)))) 1))))
#s(approx (neg (sin b)) #s(hole binary64 (* b (- (* (pow b 2) (+ 1/6 (* (pow b 2) (- (* 1/5040 (pow b 2)) 1/120)))) 1))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -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 (* -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 (+ (* 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 (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (+ r (* -1/6 (* (pow b 2) r)))))
#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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos a) (* b r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin a) (neg (sin b))) #s(hole binary64 (* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))))
#s(approx (* (sin a) (neg (sin b))) #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 (sin b) #s(hole binary64 (sin b)))
#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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* -1/6 (* (pow b 3) r))))
#s(approx (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* (pow b 3) (+ (* -1/6 r) (/ r (pow b 2))))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* -1/6 (* (pow b 2) r))))
#s(approx (+ (* (* (* b b) r) -1/6) r) #s(hole binary64 (* (pow b 2) (+ (* -1/6 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 (* (+ (* (* (* b b) r) -1/6) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* 1/6 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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (- a (* -1 b))) (* r (sin b)))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(sin.f64 (+.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 (neg.f64 b)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 a b))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (fabs.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 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 a)
a
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(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)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 b) (cos.f64 (PI.f64))) (*.f64 (cos.f64 b) (sin.f64 (PI.f64))))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) a)) (cos.f64 (-.f64 (fabs.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (fabs.f64 a))) (cos.f64 (-.f64 b (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) b)) (cos.f64 (-.f64 (fabs.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (fabs.f64 b))) (cos.f64 (-.f64 a (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #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)))))
(sin.f64 (+.f64 (fabs.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (fabs.f64 b)))
(cos.f64 (fabs.f64 (fabs.f64 b)))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (fabs.f64 b))
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(+.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 b) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (PI.f64)) a)) (cos.f64 (+.f64 (+.f64 b (PI.f64)) a))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a (+.f64 b (PI.f64)))) (cos.f64 (+.f64 a (+.f64 b (PI.f64))))) #s(literal 2 binary64))
(/.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)))
#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 (* (+ (* 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 (* (+ (* (* (* b b) r) -1/6) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b))
#s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 b) (*.f64 (fma.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 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal -1 binary64)) r)))
#s(approx (* (+ (* (* (* b b) r) -1/6) r) b) (*.f64 (neg.f64 b) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) r)))
#s(approx (+ (* (* (* b b) r) -1/6) r) (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 (/.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 (sin.f64 b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64))))) (cos.f64 b))))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (pow.f64 (tan.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (cos (+ 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 (sin a) a)
#s(approx (sin a) (*.f64 (fma.f64 (*.f64 a a) #s(literal -1/6 binary64) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (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 (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a r) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)) #s(literal -1/2 binary64))) a) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (sin.f64 b) (neg.f64 (sin.f64 b))) a))
#s(approx (* (sin a) (neg (sin b))) (*.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 (* (sin a) (neg (sin b))) (*.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 (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 a) b))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 (neg.f64 a) b)))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 (-.f64 (neg.f64 a) b)) (*.f64 (sin.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 (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 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (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 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (neg (sin b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64)) (*.f64 b b) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal -1 binary64)) b))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (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 b) (cos a)) (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 (fma.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 (fma.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 (+ (* 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 (+ (* (* (* b b) r) -1/6) r) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) 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 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)) b))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (fma.f64 b (fma.f64 (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64)) b (/.f64 (neg.f64 (sin.f64 a)) r)) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (cos.f64 a) r) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 (/.f64 (cos.f64 a) r) #s(literal 1/120 binary64)))) (*.f64 b b) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/2 binary64))) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/6 binary64))) b (/.f64 (neg.f64 (sin.f64 a)) r)) b (/.f64 (cos.f64 a) r)) b))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (sin a) (neg (sin b))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/6 binary64) (neg.f64 (sin.f64 a))) b))
#s(approx (* (sin a) (neg (sin b))) (*.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 (* (sin a) (neg (sin b))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/5040 binary64) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (*.f64 b b))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (sin b) (sin.f64 b))
#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 (* (+ (* (* (* b b) r) -1/6) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* (* b b) r) -1/6) r) b) (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r))
#s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (fma.f64 #s(literal -1/6 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b 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 b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (fma.f64 #s(literal -1/3 binary64) r (neg.f64 (/.f64 r (*.f64 b b))))))
#s(approx (* (+ (* (* (* b b) r) -1/6) r) b) (*.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (fma.f64 #s(literal 1/6 binary64) r (neg.f64 (/.f64 r (*.f64 b b))))))
#s(approx (cos (+ a b)) (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 (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))

eval52.0ms (1.1%)

Memory
-4.7MiB live, 95.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 088 to 1 773 computations (56.6% saved)

prune55.0ms (1.2%)

Memory
9.5MiB live, 103.8MiB allocated; 2ms collecting garbage
Pruning

70 alts after pruning (67 fresh and 3 done)

PrunedKeptTotal
New36931400
Fresh63642
Picked325
Done011
Total37870448
Accuracy
99.9%
Counts
448 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
77.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
61.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (cos.f64 b) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))
78.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 b)))))
39.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
61.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 b) a))) #s(literal 2 binary64))))
40.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
61.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
61.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.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)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
39.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
39.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
39.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
38.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
38.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
63.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a))) (-.f64 (cos.f64 b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)))))
34.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
34.2%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
16.0%
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r)) b)) (cos.f64 (+.f64 a b)))
34.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
34.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
62.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (sin.f64 b) r)))
76.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
60.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 #s(approx (+ a b) b)) (*.f64 (sin.f64 b) r)))
76.5%
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
45.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a r) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)) #s(literal -1/2 binary64))) a) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
45.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
51.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)) b)))
49.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
61.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
56.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
62.6%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
61.3%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))
49.6%
(*.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
62.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
77.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
61.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
61.4%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
49.9%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
34.1%
#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))))
34.1%
#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))))
34.2%
#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))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
34.2%
#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)))
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 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
16.4%
#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)))
12.7%
#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)))))
16.4%
#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 2 440 to 2 228 computations (8.7% saved)

series53.0ms (1.1%)

Memory
-4.0MiB live, 93.4MiB allocated; 5ms collecting garbage
Counts
38 → 138
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))) #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)
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(literal 1 binary64)
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))
(/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(tan.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
(/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) r)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) r)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
Outputs
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (+ a b)) (* r (sin b)))))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (cos b) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos (+ a b)) r)))
#s(approx (* (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (- (* (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos b) r)))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ 1 (cos b))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (neg (sin a)) #s(hole binary64 (* -1 a)))
#s(approx (neg (sin a)) #s(hole binary64 (* a (- (* 1/6 (pow a 2)) 1))))
#s(approx (neg (sin a)) #s(hole binary64 (* a (- (* (pow a 2) (+ 1/6 (* -1/120 (pow a 2)))) 1))))
#s(approx (neg (sin a)) #s(hole binary64 (* a (- (* (pow a 2) (+ 1/6 (* (pow a 2) (- (* 1/5040 (pow a 2)) 1/120)))) 1))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (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 (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (neg (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (- b (* -1 a))) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos (- b (* -1 a))) r)))
#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 (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -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 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (* r (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos a) (* b r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ 1 (* b r))))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow b 2) r)) (/ 1 r)) b)))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (+ (* (pow b 2) (- (* -1/45 (/ (pow b 2) r)) (* 1/3 (/ 1 r)))) (/ 1 r)) b)))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (+ (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (/ (pow b 2) r)) (* 1/45 (/ 1 r)))) (* 1/3 (/ 1 r)))) (/ 1 r)) b)))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos a) r)))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ 1 (cos a))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (sin b) #s(hole binary64 (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 (tan b) #s(hole binary64 (/ (sin b) (cos 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 (* (+ (* 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)) (* (sin b) r)) #s(hole binary64 (/ (cos (- a (* -1 b))) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos (- a (* -1 b))) 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)))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
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)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (/ 1 (* (tan b) r)) (* (tan b) r) (tan b) (/ 1 (/ (/ (cos (+ a b)) r) (sin b))) (/ (/ (cos (+ a b)) r) (sin b)) (/ (cos (+ a b)) r) (cos (+ a b)) (+ a b) (* (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos a) (* (neg (sin a)) (sin b)) (neg (sin a)))
8.0ms
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)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (/ 1 (* (tan b) r)) (* (tan b) r) (tan b) (/ 1 (/ (/ (cos (+ a b)) r) (sin b))) (/ (/ (cos (+ a b)) r) (sin b)) (/ (cos (+ a b)) r) (cos (+ a b)) (+ a b) (* (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos a) (* (neg (sin a)) (sin b)) (neg (sin a)))
7.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (/ 1 (* (tan b) r)) (* (tan b) r) (tan b) (/ 1 (/ (/ (cos (+ a b)) r) (sin b))) (/ (/ (cos (+ a b)) r) (sin b)) (/ (cos (+ a b)) r) (cos (+ a b)) (+ a b) (* (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos a) (* (neg (sin a)) (sin b)) (neg (sin a)))
6.0ms
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)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (/ 1 (* (tan b) r)) (* (tan b) r) (tan b) (/ 1 (/ (/ (cos (+ a b)) r) (sin b))) (/ (/ (cos (+ a b)) r) (sin b)) (/ (cos (+ a b)) r) (cos (+ a b)) (+ a b) (* (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos a) (* (neg (sin a)) (sin b)) (neg (sin a)))
6.0ms
r
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ 1 (/ (cos (+ a b)) (* (sin b) r))) 1 (/ (cos (+ a b)) (* (sin b) r)) (/ 1 (* (tan b) r)) (* (tan b) r) (tan b) (/ 1 (/ (/ (cos (+ a b)) r) (sin b))) (/ (/ (cos (+ a b)) r) (sin b)) (/ (cos (+ a b)) r) (cos (+ a b)) (+ a b) (* (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos a) (* (neg (sin a)) (sin b)) (neg (sin a)))

rewrite282.0ms (6%)

Memory
-13.9MiB live, 202.4MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07683759
08183280
153553280
080503115
1244813115
Stop Event
iter-limit
node-limit
iter-limit
Counts
176 → 461
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))) #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)
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(literal 1 binary64)
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))
(/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))
(*.f64 (tan.f64 b) r)
(tan.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
(/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) r)
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 (sin.f64 b) r)
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) #s(hole binary64 (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (+ a b)) (* r (sin b)))))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (cos b) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos (+ a b)) r)))
#s(approx (* (* (sin b) r) (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos 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)) (- (* (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* -1 (/ a r)) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* -1/2 (/ (* a (cos b)) (* r (sin b)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (+ (* a (- (* a (+ (* -1/2 (/ (cos b) (* r (sin b)))) (* 1/6 (/ a r)))) (/ 1 r))) (/ (cos b) (* r (sin b))))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos b) r)))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* -1 (/ (* a (sin b)) r)) (/ (cos b) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* a (+ (* -1 (/ (sin b) r)) (* -1/2 (/ (* a (cos b)) r)))) (/ (cos b) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* a (+ (* -1 (/ (sin b) r)) (* a (+ (* -1/2 (/ (cos b) r)) (* 1/6 (/ (* a (sin b)) r)))))) (/ (cos b) r))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ 1 (cos b))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ 1 (cos b)) (/ (* a (sin b)) (pow (cos b) 2)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* a (- (* a (- (+ (* -1 (* a (+ (* -1 (/ (* (sin b) (- (* 1/2 (/ 1 (cos b))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (cos b))) (+ (* -1/2 (/ (sin b) (pow (cos b) 2))) (* 1/6 (/ (sin b) (pow (cos b) 2))))))) (* 1/2 (/ 1 (cos b)))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 3))))) (* -1 (/ (sin b) (pow (cos b) 2))))) (/ 1 (cos b)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* a (sin b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (neg (sin a)) #s(hole binary64 (* -1 a)))
#s(approx (neg (sin a)) #s(hole binary64 (* a (- (* 1/6 (pow a 2)) 1))))
#s(approx (neg (sin a)) #s(hole binary64 (* a (- (* (pow a 2) (+ 1/6 (* -1/120 (pow a 2)))) 1))))
#s(approx (neg (sin a)) #s(hole binary64 (* a (- (* (pow a 2) (+ 1/6 (* (pow a 2) (- (* 1/5040 (pow a 2)) 1/120)))) 1))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (* (cos a) (cos b))))
#s(approx (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 (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ 1 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* (sin a) (sin b)))))
#s(approx (neg (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos (- b (* -1 a))) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos (- b (* -1 a))) r)))
#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 (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (- (* (cos b) (cos a)) (* (sin b) (sin a))) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -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 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (sin a))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))))
#s(approx (* (sin b) (sin a)) #s(hole binary64 (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))))
#s(approx (* r (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 (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (cos a) (* b r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(hole binary64 (/ (+ (* b (+ (* -1 (/ (sin a) r)) (* b (- (+ (* -1/2 (/ (cos a) r)) (* (pow b 2) (- (* 1/24 (/ (cos a) r)) (+ (* -1/6 (- (* -1/2 (/ (cos a) r)) (* -1/6 (/ (cos a) r)))) (* 1/120 (/ (cos a) r)))))) (* -1/6 (/ (cos a) r)))))) (/ (cos a) r)) b)))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ 1 (* b r))))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow b 2) r)) (/ 1 r)) b)))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (+ (* (pow b 2) (- (* -1/45 (/ (pow b 2) r)) (* 1/3 (/ 1 r)))) (/ 1 r)) b)))
#s(approx (/ 1 (* (tan b) r)) #s(hole binary64 (/ (+ (* (pow b 2) (- (* (pow b 2) (- (* -2/945 (/ (pow b 2) r)) (* 1/45 (/ 1 r)))) (* 1/3 (/ 1 r)))) (/ 1 r)) b)))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* 1/3 (pow b 2))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* 2/15 (pow b 2))))))))
#s(approx (tan b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (+ 1/3 (* (pow b 2) (+ 2/15 (* 17/315 (pow b 2))))))))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos a) r)))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* -1 (/ (* b (sin a)) r)) (/ (cos a) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* b (+ (* -1 (/ (sin a) r)) (* -1/2 (/ (* b (cos a)) r)))) (/ (cos a) r))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (+ (* b (+ (* -1 (/ (sin a) r)) (* b (+ (* -1/2 (/ (cos a) r)) (* 1/6 (/ (* b (sin a)) r)))))) (/ (cos a) r))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (/ 1 (cos a))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) #s(hole binary64 (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a)))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* -1 (* b (sin a)))))
#s(approx (* (neg (sin a)) (sin b)) #s(hole binary64 (* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))))
#s(approx (* (neg (sin a)) (sin b)) #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 a)) (sin b)) #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 (sin b) #s(hole binary64 (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 (tan b) #s(hole binary64 (/ (sin b) (cos 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 (* (+ (* 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)) (* (sin b) r)) #s(hole binary64 (/ (cos (- a (* -1 b))) (* r (sin b)))))
#s(approx (/ (cos (+ a b)) r) #s(hole binary64 (/ (cos (- a (* -1 b))) 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)))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (+.f64 (neg.f64 a) b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (sin.f64 (-.f64 b (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (cos.f64 (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(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 b (neg.f64 a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(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 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (-.f64 b (neg.f64 a))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (-.f64 b (neg.f64 a))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))
(sin.f64 (+.f64 b (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 (*.f64 #s(literal 1 binary64) a))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal 1 binary64) a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 #s(literal 1 binary64) b))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 b) (cos.f64 a))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (neg.f64 (neg.f64 (sin.f64 a)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 (neg.f64 b)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (neg.f64 (-.f64 b (neg.f64 a)))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 a b))))
(cos.f64 (neg.f64 (fabs.f64 (-.f64 b (neg.f64 a)))))
(cos.f64 (fabs.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (fabs.f64 (neg.f64 (-.f64 b (neg.f64 a)))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 a b))))
(cos.f64 (fabs.f64 (fabs.f64 (-.f64 b (neg.f64 a)))))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (fabs.f64 (+.f64 a b)))
(cos.f64 (fabs.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (-.f64 b (neg.f64 a)))
(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 (sin.f64 (-.f64 b (neg.f64 a))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 b) a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (fabs.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) (neg.f64 a))) (cos.f64 (-.f64 (fabs.f64 b) (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 b) a)) (cos.f64 (-.f64 (fabs.f64 b) a))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 b (fabs.f64 a))) (cos.f64 (-.f64 b (fabs.f64 a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 a) b)) (cos.f64 (-.f64 (fabs.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (neg.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 a) (fabs.f64 b))) (cos.f64 (-.f64 (neg.f64 a) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (fabs.f64 b))) (cos.f64 (-.f64 a (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 a))) (sin.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 a)))) #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 (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))) (fabs.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #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)))))
(sin.f64 (+.f64 (fabs.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (fabs.f64 b)))
(cos.f64 (fabs.f64 (neg.f64 b)))
(cos.f64 (fabs.f64 (fabs.f64 b)))
(cos.f64 (neg.f64 (neg.f64 b)))
(cos.f64 (neg.f64 b))
(cos.f64 (fabs.f64 b))
(cos.f64 b)
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(cos.f64 (fabs.f64 (fabs.f64 a)))
(cos.f64 (fabs.f64 (neg.f64 a)))
(cos.f64 (neg.f64 (neg.f64 a)))
(cos.f64 (fabs.f64 a))
(cos.f64 (neg.f64 a))
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a
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(neg.f64 (-.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
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(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
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(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 b)) (sin.f64 a)))
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(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (PI.f64)) b)) (cos.f64 (+.f64 (+.f64 a (PI.f64)) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 a (PI.f64)))) (cos.f64 (+.f64 b (+.f64 a (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 a (/.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 a))
(*.f64 (sin.f64 a) #s(literal -1 binary64))
(neg.f64 (sin.f64 a))
(fma.f64 (sin.f64 a) (cos.f64 (PI.f64)) (*.f64 (cos.f64 a) (sin.f64 (PI.f64))))
(sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 a))
(sin.f64 (+.f64 a (PI.f64)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (fabs.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 a) (cos.f64 (PI.f64))) (*.f64 (cos.f64 a) (sin.f64 (PI.f64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (sin b)) (*.f64 (sin.f64 b) r))
#s(approx r r)
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* r (tan b)) (*.f64 (tan.f64 b) r))
#s(approx (* (+ (* 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 (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
#s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))
#s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 (+.f64 a b)) r))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (neg.f64 b) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 b b) #s(literal -1 binary64)) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/2 binary64) (fma.f64 #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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.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 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 a (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (cos.f64 b) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (* (cos b) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a a)) (cos.f64 b) (*.f64 #s(literal 1/24 binary64) (cos.f64 b))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 a a)) (sin.f64 b) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (sin.f64 b)) #s(literal 1/120 binary64) (*.f64 (sin.f64 b) #s(literal -1/6 binary64))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (* (sin b) (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 b) (*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 b) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 a a)) (sin.f64 b))) (*.f64 a a))) (*.f64 a a) (sin.f64 b)) a))
#s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (sin a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64)) (*.f64 a a) #s(literal -1/6 binary64)) (*.f64 a a) #s(literal 1 binary64)) a))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a r) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)) #s(literal -1/2 binary64))) a) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
#s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 b) r))
#s(approx (/ (cos (+ a b)) r) (+.f64 (/.f64 (*.f64 (neg.f64 a) (sin.f64 b)) r) (/.f64 (cos.f64 b) r)))
#s(approx (/ (cos (+ a b)) r) (fma.f64 a (fma.f64 (/.f64 (*.f64 (cos.f64 b) a) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (sin.f64 b) r))) (/.f64 (cos.f64 b) r)))
#s(approx (/ (cos (+ a b)) r) (fma.f64 (fma.f64 a (fma.f64 (/.f64 (*.f64 (sin.f64 b) a) r) #s(literal 1/6 binary64) (*.f64 (/.f64 (cos.f64 b) r) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (sin.f64 b) r))) a (/.f64 (cos.f64 b) r)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 #s(literal 1 binary64) (cos.f64 b)))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 a (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) a) (neg.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (sin.f64 b)) (cos.f64 b)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 b)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (neg.f64 (/.f64 (sin.f64 b) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) a (/.f64 #s(literal 1 binary64) (cos.f64 b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 b) (cos a)) (* (neg (sin a)) (sin 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 (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/6 binary64)) (sin.f64 b) (neg.f64 (sin.f64 b))) a))
#s(approx (* (neg (sin a)) (sin b)) (*.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 a)) (sin b)) (*.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 (neg (sin a)) (neg.f64 a))
#s(approx (neg (sin a)) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/6 binary64) #s(literal -1 binary64)) a))
#s(approx (neg (sin a)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal -1 binary64)) a))
#s(approx (neg (sin a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64)) (*.f64 a a) #s(literal 1/6 binary64)) (*.f64 a a) #s(literal -1 binary64)) a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 (+.f64 a b)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (cos a) (cos.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (sin a) (sin.f64 a))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 (+.f64 a b)))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (neg (sin a)) (neg.f64 (sin.f64 a)))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 (+.f64 a b)) r))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) r) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b b)) (cos.f64 a) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (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 b) (cos a)) (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 (fma.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 (fma.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 (* (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 (*.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 (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r)))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)) b))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (fma.f64 b (fma.f64 (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64)) b (/.f64 (neg.f64 (sin.f64 a)) r)) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (cos.f64 a) r) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/3 binary64)) #s(literal -1/6 binary64) (*.f64 (/.f64 (cos.f64 a) r) #s(literal 1/120 binary64)))) (*.f64 b b) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/2 binary64))) (*.f64 (/.f64 (cos.f64 a) r) #s(literal -1/6 binary64))) b (/.f64 (neg.f64 (sin.f64 a)) r)) b (/.f64 (cos.f64 a) r)) b))
#s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 b r)))
#s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))
#s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/45 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) (/.f64 #s(literal 1 binary64) r)) b))
#s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2/945 binary64) (/.f64 (*.f64 b b) r)) (/.f64 #s(literal 1/45 binary64) r)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) r)) (*.f64 b b) (/.f64 #s(literal 1 binary64) r)) b))
#s(approx (tan b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))
#s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 a) r))
#s(approx (/ (cos (+ a b)) r) (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)))
#s(approx (/ (cos (+ a b)) r) (fma.f64 b (fma.f64 (/.f64 (*.f64 (cos.f64 a) b) r) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 a)) r)) (/.f64 (cos.f64 a) r)))
#s(approx (/ (cos (+ a b)) r) (fma.f64 (fma.f64 b (fma.f64 (/.f64 (cos.f64 a) r) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 a) b) r) #s(literal 1/6 binary64))) (/.f64 (neg.f64 (sin.f64 a)) r)) b (/.f64 (cos.f64 a) r)))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a)))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 b (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) b) (neg.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (cos.f64 a) #s(literal -3 binary64)))))) b) (neg.f64 (/.f64 (sin.f64 a) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 b) (sin.f64 a)))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 b b)) (sin.f64 a) (neg.f64 (sin.f64 a))) b))
#s(approx (* (neg (sin a)) (sin b)) (*.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 a)) (sin b)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (sin.f64 a)) #s(literal 1/5040 binary64) (*.f64 (sin.f64 a) #s(literal -1/120 binary64))) (*.f64 b b))) (*.f64 b b) (neg.f64 (sin.f64 a))) b))
#s(approx (sin b) (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 (tan b) (tan.f64 b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* 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 (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 (+.f64 a b)) r))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval50.0ms (1.1%)

Memory
-6.6MiB live, 91.4MiB allocated; 11ms collecting garbage
Compiler

Compiled 4 099 to 1 853 computations (54.8% saved)

prune62.0ms (1.3%)

Memory
2.8MiB live, 102.6MiB allocated; 4ms collecting garbage
Pruning

78 alts after pruning (73 fresh and 5 done)

PrunedKeptTotal
New33624360
Fresh134962
Picked325
Done033
Total35278430
Accuracy
99.9%
Counts
430 → 78
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
62.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
77.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
61.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
62.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
99.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (cos.f64 b) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))
78.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
39.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
61.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 b) a))) #s(literal 2 binary64))))
40.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
61.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
61.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
99.3%
(/.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))))
59.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
39.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
39.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
39.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
39.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
38.3%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
38.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
63.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
58.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
54.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
52.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a))) (-.f64 (cos.f64 b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a)))))
34.2%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
34.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
49.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
34.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
62.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (sin.f64 b) r)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 a b)))) (sin.f64 b)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)))
76.5%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
60.9%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 #s(approx (+ a b) b)) (*.f64 (sin.f64 b) r)))
53.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 a) r)) (sin.f64 b)))
76.5%
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
45.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a r) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)) #s(literal -1/2 binary64))) a) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
45.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
60.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)))
51.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)) b)))
49.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
61.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
56.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
34.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
34.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 b r)))))
77.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
62.6%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 (sin.f64 b) r))
39.8%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
39.7%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
41.0%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))))
60.4%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
61.5%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
61.3%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))
54.1%
(*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
77.2%
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
49.6%
(*.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
62.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
77.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
61.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
49.9%
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
61.4%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (+.f64 (tan.f64 b) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) (tan.f64 (PI.f64)))))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
31.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
34.1%
#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))))
34.1%
#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))))
34.2%
#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))))
34.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 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 (fma.f64 #s(literal 1/3 binary64) r (/.f64 r (*.f64 b b))) (*.f64 b b))) b)))
16.4%
#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)))
16.4%
#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 2 509 to 1 780 computations (29.1% saved)

regimes122.0ms (2.6%)

Memory
-12.1MiB live, 224.7MiB allocated; 8ms collecting garbage
Counts
115 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.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) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
#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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r)) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 #s(approx (+ a b) b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 a) r)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 a b)))) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.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) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a r) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)) #s(literal -1/2 binary64))) a) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.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))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (sin.f64 b) r)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 b) a))) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 b)))))
#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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))))
(/.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 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (sin.f64 b) (cos.f64 (PI.f64)) (*.f64 (cos.f64 b) (sin.f64 (PI.f64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (fma.f64 (cos.f64 b) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (sin.f64 b) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (fma.f64 (sin.f64 b) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 b) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a))) (-.f64 (cos.f64 b) (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) 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 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
Calls

4 calls:

30.0ms
r
29.0ms
b
29.0ms
a
27.0ms
(/.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)

regimes179.0ms (3.8%)

Memory
3.5MiB live, 220.8MiB allocated; 87ms collecting garbage
Counts
102 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.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) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
#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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r)) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 #s(approx (+ a b) b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 a) r)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 a b)))) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.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) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a r) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)) #s(literal -1/2 binary64))) a) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.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))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (sin.f64 b) r)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 b) a))) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 b)))))
#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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))))
(/.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:

52.0ms
b
45.0ms
a
38.0ms
r
28.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes161.0ms (3.4%)

Memory
42.5MiB live, 285.5MiB allocated; 75ms collecting garbage
Counts
100 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.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) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
#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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r)) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 (sin.f64 b) r) #s(approx (/ 1 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 #s(literal 1 binary64) (cos.f64 a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 #s(approx (+ a b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 #s(approx (+ a b) b)) (*.f64 (sin.f64 b) r)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (cos (+ a b)) r) (/.f64 (cos.f64 a) r)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 #s(approx (+ a b) b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) r)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 r (cos.f64 (+.f64 a b)))) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (+.f64 (/.f64 (cos.f64 a) r) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) r)) b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (+.f64 a b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.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) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a r) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)) #s(literal -1/2 binary64))) a) (/.f64 #s(literal 1 binary64) r)) a (/.f64 #s(literal 1 binary64) (*.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))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (sin a) (neg (sin b))) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b)))) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (sin.f64 b) r)))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (cos.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 b) a))) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 #s(approx (sin a) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (neg.f64 (sin.f64 b)))))
#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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (/.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (/.f64 (+.f64 (sin.f64 (-.f64 b (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

4 calls:

76.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
31.0ms
a
25.0ms
r
24.0ms
b
Results
AccuracySegmentsBranch
77.3%1r
77.3%1b
77.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
77.3%1a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes43.0ms (0.9%)

Memory
1.8MiB live, 95.7MiB allocated; 6ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.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) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
#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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r)) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Calls

4 calls:

12.0ms
a
9.0ms
r
9.0ms
b
9.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
64.6%3r
77.2%3a
76.9%3b
61.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes20.0ms (0.4%)

Memory
-42.9MiB live, 51.8MiB allocated; 2ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.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) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
#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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r)) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* a (- (* (* (cos b) a) -1/2) (sin b))) (cos b)) (+.f64 (fma.f64 (neg.f64 a) b (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (+ a b) b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (+ a b) b))))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

2 calls:

9.0ms
b
8.0ms
a
Results
AccuracySegmentsBranch
76.9%3b
75.2%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.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) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
#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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (cos.f64 a) (*.f64 b r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 (+.f64 b (PI.f64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 b)) r)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 #s(approx (+ (* (* (* b b) r) -1/6) r) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r)) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) (+.f64 (/.f64 (neg.f64 a) r) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 b) r)))))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
76.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
-34.7MiB live, 20.6MiB allocated; 1ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.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) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 #s(approx (+ a b) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 (+.f64 b (PI.f64)))))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

6.0ms
b
Results
AccuracySegmentsBranch
76.9%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.3%)

Memory
38.0MiB live, 38.0MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

3 calls:

4.0ms
b
4.0ms
r
4.0ms
a
Results
AccuracySegmentsBranch
61.4%1r
61.4%1a
61.4%1b
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes17.0ms (0.4%)

Memory
5.5MiB live, 53.1MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) r) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) r)) b))))
Calls

4 calls:

4.0ms
b
4.0ms
a
4.0ms
r
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
34.3%1r
34.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
34.3%1a
34.3%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes14.0ms (0.3%)

Memory
-9.6MiB live, 37.3MiB allocated; 2ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (cos (+ a b)) (* (sin b) r)) #s(approx (/ 1 (* (tan b) r)) (/.f64 #s(literal 1 binary64) (*.f64 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 (*.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 (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))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) r r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64) 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)) #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 #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))) 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:

4.0ms
r
3.0ms
b
3.0ms
a
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
34.2%1b
34.2%1a
34.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
34.2%1r
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes8.0ms (0.2%)

Memory
-23.1MiB live, 22.6MiB allocated; 2ms collecting garbage
Accuracy

Total -11.4b remaining (-27.1%)

Threshold costs -11.4b (-27.1%)

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

4 calls:

3.0ms
b
1.0ms
r
1.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
1.0ms
a
Results
AccuracySegmentsBranch
34.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
34.1%1b
34.1%1a
34.1%1r
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch46.0ms (1%)

Memory
6.2MiB live, 54.6MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
68.37267844661581
109599.2360741013
24.0ms
-1.681059518843296e-8
-1.817969138420997e-16
Samples
25.0ms154×1valid
7.0ms118×0valid
Compiler

Compiled 437 to 473 computations (-8.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-cos: 8.0ms (35.2% of total)
ival-sin: 7.0ms (30.8% of total)
adjust: 3.0ms (13.2% of total)
ival-div!: 2.0ms (8.8% of total)
ival-add!: 1.0ms (4.4% of total)
ival-mult!: 1.0ms (4.4% of total)

bsearch40.0ms (0.8%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.7742399534703072e-20
5.027560413376195e-12
17.0ms
-48.10156095526371
-3.211792624152803e-5
Samples
19.0ms161×1valid
7.0ms127×0valid
Compiler

Compiled 534 to 572 computations (-7.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (38.6% of total)
adjust: 3.0ms (16.5% of total)
ival-sin: 3.0ms (16.5% of total)
ival-div!: 2.0ms (11% of total)
ival-add!: 1.0ms (5.5% of total)
ival-mult!: 1.0ms (5.5% of total)

bsearch20.0ms (0.4%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.7742399534703072e-20
5.027560413376195e-12
17.0ms
-3.211792624152803e-5
-1.2467296667570229e-11
Samples
8.0ms69×1valid
4.0ms75×0valid
Compiler

Compiled 462 to 500 computations (-8.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 4.0ms (47% of total)
ival-add!: 1.0ms (11.7% of total)
adjust: 1.0ms (11.7% of total)
ival-sin: 1.0ms (11.7% of total)
ival-div!: 1.0ms (11.7% of total)
ival-mult!: 1.0ms (11.7% of total)

bsearch14.0ms (0.3%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.7742399534703072e-20
5.027560413376195e-12
12.0ms
-3.211792624152803e-5
-1.2467296667570229e-11
Samples
6.0ms55×1valid
2.0ms41×0valid
Compiler

Compiled 498 to 536 computations (-7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (33.5% of total)
adjust: 1.0ms (16.8% of total)
ival-sin: 1.0ms (16.8% of total)
ival-div!: 1.0ms (16.8% of total)
ival-add!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

derivations349.0ms (7.4%)

Memory
-40.8MiB live, 52.4MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 133 to 95 computations (28.6% saved)

preprocess135.0ms (2.9%)

Memory
39.2MiB live, 133.6MiB allocated; 39ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 589 to 531 computations (9.8% saved)

end0.0ms (0%)

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

Profiling

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