rsin A (should all be same)

Time bar (total: 5.4s)

start0.0ms (0%)

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

analyze374.0ms (6.9%)

Memory
-35.6MiB live, 244.9MiB allocated; 125ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (25.5%)

Memory
30.3MiB live, 1 345.0MiB allocated; 216ms collecting garbage
Samples
967.0ms5 938×1valid
129.0ms2 318×0valid
Precisions
Click to see histograms. Total time spent on operations: 812.0ms
ival-cos: 298.0ms (36.7% of total)
ival-sin: 191.0ms (23.5% of total)
adjust: 157.0ms (19.3% of total)
ival-div!: 85.0ms (10.5% of total)
ival-mult!: 43.0ms (5.3% of total)
ival-add!: 39.0ms (4.8% of total)
Bogosity

preprocess61.0ms (1.1%)

Memory
1.6MiB live, 47.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03895
117893
280893
3513493
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 16 to 16 computations (0% saved)

series15.0ms (0.3%)

Memory
16.7MiB live, 16.6MiB 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
r
@-inf
((/ (* 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)

rewrite210.0ms (3.9%)

Memory
-11.0MiB live, 176.5MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0225925
0232880
11700824
09137788
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
47 → 107
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
(pow.f64 (sin.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(sin.f64 b)
(exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))
b
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 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))))))
(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))))
(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))))
(-.f64 (*.f64 (cos.f64 (*.f64 a #s(literal 1 binary64))) (cos.f64 (*.f64 a (/.f64 b a)))) (*.f64 (sin.f64 (*.f64 a #s(literal 1 binary64))) (sin.f64 (*.f64 a (/.f64 b a)))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) a)) (cos.f64 (*.f64 (/.f64 b a) a))) (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) a)) (sin.f64 (*.f64 (/.f64 b a) 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 (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 b a) #s(literal 1 binary64)) a)
(*.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 b a)) #s(literal 3 binary64))) (fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 a (/.f64 b a)) (*.f64 a (/.f64 b a))) (*.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 b a) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (-.f64 (*.f64 (*.f64 (/.f64 b a) a) (*.f64 (/.f64 b a) a)) (*.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) a)))))
(/.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 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 b b) b (*.f64 (*.f64 a a) a)) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (neg.f64 (+.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) a) (*.f64 (neg.f64 b) (*.f64 b b)))) (neg.f64 (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a (neg.f64 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))
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 b a) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 b a)))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (/.f64 (*.f64 b b) (-.f64 a b)))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (neg.f64 b))) (/.f64 (*.f64 b b) (+.f64 a (neg.f64 b))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))) (/.f64 (*.f64 (neg.f64 b) (*.f64 b b)) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b))))))
(-.f64 a (neg.f64 b))
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b)))))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) a))
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a (*.f64 #s(literal 1 binary64) 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 a 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 (/ (* 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)) (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 b (neg.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval12.0ms (0.2%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 046 to 495 computations (52.7% saved)

prune19.0ms (0.4%)

Memory
-11.6MiB live, 33.1MiB allocated; 6ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New732497
Fresh000
Picked101
Done000
Total742498
Accuracy
99.7%
Counts
98 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
▶99.4%
(/.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 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶36.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))))
56.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
▶49.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
53.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
49.5%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
▶52.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
35.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
48.8%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
48.5%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
48.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
48.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
72.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
72.5%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
72.5%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.6%
#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))))
▶56.3%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (tan.f64 b)))
48.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 652 to 596 computations (8.6% saved)

series481.0ms (8.9%)

Memory
-48.2MiB live, 140.8MiB allocated; 728ms collecting garbage
Counts
28 → 111
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)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (cos (+ a b)) (cos.f64 a))
(/.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 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
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 (/ (* 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 (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#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 (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 b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (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)) #s(hole binary64 (cos (- b (* -1 a)))))
#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 b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#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) (* 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 (sin b) #s(hole binary64 (sin b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos 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 (/ (* 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)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
Calls

9 calls:

TimeVariablePointExpression
437.0ms
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)) (/ (* 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)) (+ (* (neg b) (sin a)) (cos a)) (neg b))
9.0ms
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)) (/ (* 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)) (+ (* (neg b) (sin a)) (cos a)) (neg b))
6.0ms
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)) (/ (* 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)) (+ (* (neg b) (sin a)) (cos a)) (neg b))
5.0ms
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)) (/ (* 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)) (+ (* (neg b) (sin a)) (cos a)) (neg b))
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)) (/ (* 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)) (+ (* (neg b) (sin a)) (cos a)) (neg b))

rewrite209.0ms (3.9%)

Memory
0.9MiB live, 186.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06403220
06792577
154072535
081562400
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
139 → 399
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)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (cos (+ a b)) (cos.f64 a))
(/.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 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
#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 (/ (* 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 (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* -1 (* a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* -1/2 a))))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))))
#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 (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 b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (+ (cos a) (* -1 (* b (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)) #s(hole binary64 (cos (- b (* -1 a)))))
#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 b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#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) (* 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 (sin b) #s(hole binary64 (sin b)))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (tan b) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* b (+ (* -1 (sin a)) (/ (cos 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 (/ (* 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)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) #s(hole binary64 (* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))))
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 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 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 b) a)))
(/.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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64))) (+.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))))))
(neg.f64 (sin.f64 (-.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(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)))
(fma.f64 (sin.f64 (*.f64 a #s(literal 1 binary64))) (cos.f64 (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a))) (*.f64 (cos.f64 (*.f64 a #s(literal 1 binary64))) (sin.f64 (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) a)) (cos.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) a)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) a)) (sin.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) 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)) (sin.f64 (neg.f64 (neg.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)) (sin.f64 (neg.f64 (neg.f64 b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 (*.f64 a #s(literal 1 binary64))) (cos.f64 (*.f64 a (/.f64 b a)))) (*.f64 (sin.f64 (*.f64 a #s(literal 1 binary64))) (sin.f64 (*.f64 a (/.f64 b a)))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) a)) (cos.f64 (*.f64 (/.f64 b a) a))) (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) a)) (sin.f64 (*.f64 (/.f64 b a) 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 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (neg.f64 (cos.f64 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 a) (sin.f64 (neg.f64 (neg.f64 b)))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (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 (fabs.f64 (+.f64 a b))))
(cos.f64 (fabs.f64 (neg.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 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)))))
(+.f64 (*.f64 (sin.f64 (*.f64 a #s(literal 1 binary64))) (cos.f64 (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))) (*.f64 (cos.f64 (*.f64 a #s(literal 1 binary64))) (sin.f64 (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (+.f64 a b))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)) a)
(*.f64 a (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) #s(literal 1 binary64)))
(/.f64 (fma.f64 (+.f64 a b) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(/.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)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 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 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) b a)
(fma.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) a))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))
(fma.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))
(-.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 (*.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) a) a))
(+.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 b a) #s(literal 1 binary64)) a)
(*.f64 a (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.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))
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 b a) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (/.f64 b a)))
(-.f64 a (neg.f64 b))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (/.f64 b a)))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) a))
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a (*.f64 #s(literal 1 binary64) 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 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) #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 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a)))) (*.f64 (neg.f64 b) (sin.f64 a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a))) (cos.f64 a))
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64))) (-.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (*.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) (sin.f64 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) a)))) (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a))))))
(fma.f64 (*.f64 (sin.f64 a) b) #s(literal -1 binary64) (cos.f64 a))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) b) (cos.f64 a))
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))
(-.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (neg.f64 (cos.f64 a)))
(-.f64 (cos.f64 a) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) b)))
(-.f64 (cos.f64 a) (neg.f64 (*.f64 (neg.f64 b) (sin.f64 a))))
(+.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a))
(+.f64 (cos.f64 a) (*.f64 (neg.f64 b) (sin.f64 a)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
#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 (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 (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 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 b)))
#s(approx (cos a) #s(literal 1 binary64))
#s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx a a)
#s(approx (* (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 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) (cos.f64 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 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) (/.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 (neg.f64 (sin.f64 b)) (/.f64 (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal -3 binary64))))) (cos.f64 b))))) a)) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 r (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b)))))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal -3 binary64)))))) a) (/.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 #s(literal -1/2 binary64) (cos.f64 b))) (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 (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) a (neg.f64 b)) a #s(literal 1 binary64)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) a (neg.f64 b)) a #s(literal 1 binary64)))
#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 (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 (+.f64 a b)))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))
#s(approx (+ a b) (+.f64 a b))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 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 (/ (* 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 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 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 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 #s(literal -1/2 binary64) (cos.f64 a))) 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 #s(literal -1/2 binary64) (cos.f64 a))) 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 binary64) (+.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 binary64) (+.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 binary64) (+.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 #s(literal -1/2 binary64) (cos.f64 a))) (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 (sin b) (sin.f64 b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (tan b) (tan.f64 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 (+ a b) (-.f64 b (neg.f64 a)))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (+.f64 (/.f64 (cos.f64 a) b) (neg.f64 (sin.f64 a))) 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 (/ (* 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))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (cos.f64 a) b)) (sin.f64 a))))

eval93.0ms (1.7%)

Memory
30.5MiB live, 74.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 902 to 1 596 computations (59.1% saved)

prune52.0ms (1%)

Memory
-20.8MiB live, 81.6MiB allocated; 13ms collecting garbage
Pruning

58 alts after pruning (57 fresh and 1 done)

PrunedKeptTotal
New33346379
Fresh81119
Picked415
Done000
Total34558403
Accuracy
99.8%
Counts
403 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
52.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 (*.f64 (sin.f64 a) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 a) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (-.f64 (*.f64 (sin.f64 b) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 b) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
99.0%
(/.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)))))))
99.2%
(/.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))))))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
51.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) #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)))))
51.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) #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)))))
▶57.7%
(/.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 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)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
86.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
36.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
29.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
▶36.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))))
53.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))
49.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
32.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
32.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
36.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))
35.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
48.8%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
48.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
48.5%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
49.2%
(/.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 (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))))))
▶33.0%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
48.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
48.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
32.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
48.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
51.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
48.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
72.5%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
52.4%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
52.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
56.3%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
48.5%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
53.6%
#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))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
56.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
56.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
32.2%
#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))))
▶32.2%
#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 1 969 to 1 806 computations (8.3% saved)

series123.0ms (2.3%)

Memory
11.5MiB live, 103.3MiB allocated; 8ms collecting garbage
Counts
45 → 150
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(literal 1 binary64)
(/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.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 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 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)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(sin.f64 #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) b))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) b)
#s(literal 1/2 binary64)
(/.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)))
(neg.f64 (sin.f64 b))
Outputs
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b))))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (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 (/ (* 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 (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b))))) (pow (cos b) 2)) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* a (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b)))))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* -1 (/ (* a (sin b)) (cos b))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (sin b) (cos b))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b))))))) (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (/ (* a (sin b)) (cos b)))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (sin b) (cos b)))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b))))))) (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* -1/5040 (/ (sin b) (cos b))) (+ (* -1/2 (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b)))))) (+ (* -1/720 (/ (sin b) (cos b))) (* 1/24 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))))))) (* -1 (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos 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 (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 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ 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 (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a 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 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #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 (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 (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 b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#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 (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#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 b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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))) (/ (* r (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a))))) (cos a)))))) (* -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 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* b (* (cos a) (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a)))))))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* -1 (/ (* b (sin a)) (cos a))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))) (* -1 (/ (sin a) (cos a))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a))))))) (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (/ (* b (sin a)) (cos a)))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))) (* -1 (/ (sin a) (cos a)))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a))))))) (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* -1/5040 (/ (sin a) (cos a))) (+ (* -1/2 (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a)))))) (+ (* -1/720 (/ (sin a) (cos a))) (* 1/24 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))))))) (* -1 (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos 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 (* (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 (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 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 (/ (* 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 (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#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 (+ (* 1/2 (PI)) b) #s(hole binary64 (* 1/2 (PI))))
#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 (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 (sin b) #s(hole binary64 (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) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* b (+ 1 (* 1/2 (/ (PI) b))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (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)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
59.0ms
r
@inf
((/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (neg (sin a)) (sin a) a (* (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)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ (* 1/2 (PI)) b) 1/2 (/ (* 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))) (neg (sin b)))
20.0ms
b
@inf
((/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (neg (sin a)) (sin a) a (* (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)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ (* 1/2 (PI)) b) 1/2 (/ (* 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))) (neg (sin b)))
8.0ms
r
@-inf
((/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (neg (sin a)) (sin a) a (* (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)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ (* 1/2 (PI)) b) 1/2 (/ (* 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))) (neg (sin b)))
7.0ms
r
@0
((/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (neg (sin a)) (sin a) a (* (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)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ (* 1/2 (PI)) b) 1/2 (/ (* 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))) (neg (sin b)))
7.0ms
b
@-inf
((/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (neg (sin a)) (sin b)) (neg (sin a)) (sin a) a (* (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)) (sin (+ (+ a b) (/ (PI) 2)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ a b) (/ (PI) 2) (PI) 2 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (sin (+ (+ a b) (/ (PI) 2))) (+ (+ a b) (/ (PI) 2)) (+ (* 1/2 (PI)) b) 1/2 (/ (* 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))) (neg (sin b)))

rewrite225.0ms (4.2%)

Memory
-14.2MiB live, 175.4MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08715365
09323873
172753873
080573683
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
195 → 520
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))
#s(literal 1 binary64)
(/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.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 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 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)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(sin.f64 #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) b))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) b)
#s(literal 1/2 binary64)
(/.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)))
(neg.f64 (sin.f64 b))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b))))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* r (+ 1 (* 1/3 (pow b 2))))))
#s(approx (* (* b b) r) #s(hole binary64 (* (pow b 2) r)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (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 (/ (* 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 (+ (* 1/3 (* (* b b) r)) r) #s(hole binary64 (* -1 (* r (- (* -1/3 (pow b 2)) 1)))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b))))) (pow (cos b) 2)) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* a (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b)))))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* -1 (/ (* a (sin b)) (cos b))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (sin b) (cos b))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b))))))) (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (/ (* a (sin b)) (cos b)))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (sin b) (cos b)))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b))))))) (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* -1/5040 (/ (sin b) (cos b))) (+ (* -1/2 (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b)))))) (+ (* -1/720 (/ (sin b) (cos b))) (* 1/24 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))))))) (* -1 (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos 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 (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 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ 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 (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a 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 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #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 (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 (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 b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#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 (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- b (* -1 a))))))
#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 b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (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))) (/ (* r (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a))))) (cos a)))))) (* -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 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* b (* (cos a) (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a)))))))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* -1 (/ (* b (sin a)) (cos a))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))) (* -1 (/ (sin a) (cos a))))))))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(hole binary64 (+ 1 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a))))))) (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* -1 (/ (* b (sin a)) (cos a)))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))) (* -1 (/ (sin a) (cos a)))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a))))))) (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))))))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* -1/5040 (/ (sin a) (cos a))) (+ (* -1/2 (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a)))))) (+ (* -1/720 (/ (sin a) (cos a))) (* 1/24 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))))))) (* -1 (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos 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 (* (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 (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 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 (/ (* 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 (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#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 (+ (* 1/2 (PI)) b) #s(hole binary64 (* 1/2 (PI))))
#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 (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 (sin b) #s(hole binary64 (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) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (+ a b) (/ (PI) 2)) #s(hole binary64 (* b (+ 1 (+ (* 1/2 (/ (PI) b)) (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* b (+ 1 (* 1/2 (/ (PI) b))))))
#s(approx (neg (sin b)) #s(hole binary64 (* -1 (sin b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -1 (/ r (pow b 2))) (* -1/3 r))))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) #s(hole binary64 (/ (* r (sin b)) (sin (- (+ a (* 1/2 (PI))) (* -1 b))))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (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)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))))
Outputs
(*.f64 (/.f64 r (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.f64 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))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.f64 b)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.f64 b)) (cos.f64 a))
(*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)))
(*.f64 (cos.f64 a) (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.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)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (*.f64 (cos.f64 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))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))))))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))
(fma.f64 (sin.f64 (+.f64 a b)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(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)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (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)))
(-.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 (-.f64 b (neg.f64 a))))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (fabs.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (fabs.f64 (+.f64 a b)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+.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)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))))))
(fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))
(fma.f64 (*.f64 (tan.f64 a) (tan.f64 b)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (tan.f64 a) (tan.f64 b)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 a) (tan.f64 b))))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))))
(+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))))
#s(literal 1 binary64)
(*.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 a)))
(*.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (*.f64 (tan.f64 a) (tan.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 a) (tan.f64 b)))
(*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 b)) (cos.f64 a))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (neg.f64 (*.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 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
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(/.f64 (+.f64 (sin.f64 (-.f64 a (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 b (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) (sin.f64 (+.f64 b (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 b (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) (sin.f64 (+.f64 b (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 b (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))) (sin.f64 (+.f64 b (fma.f64 #s(literal 1/2 binary64) (PI.f64) a)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal -1 binary64))
(neg.f64 (sin.f64 b))
(sin.f64 (neg.f64 b))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 b (PI.f64)))
(-.f64 (*.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)))))
(cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
(cos.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
#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 (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r) b))
#s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r))
#s(approx (* (* b b) r) (*.f64 (*.f64 b b) r))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.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 (+ (* 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 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (tan.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (fma.f64 r (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 b) (neg.f64 (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) (cos.f64 b)))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 b))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 b) (neg.f64 (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) (cos.f64 b)))) a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(literal 1 binary64))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (+.f64 (neg.f64 (*.f64 a (tan.f64 b))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (fma.f64 a (+.f64 (neg.f64 (tan.f64 b)) (neg.f64 (*.f64 (*.f64 a a) (*.f64 (tan.f64 b) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 b) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/24 binary64) (tan.f64 b) (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 a a)))) (*.f64 a a) (neg.f64 (tan.f64 b))) a #s(literal 1 binary64)))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (neg.f64 (*.f64 a (tan.f64 b))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (*.f64 (+.f64 (neg.f64 (tan.f64 b)) (neg.f64 (*.f64 (*.f64 a a) (*.f64 (tan.f64 b) #s(literal 1/3 binary64))))) a))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (*.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 b) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/24 binary64) (tan.f64 b) (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 a a)))) (*.f64 a a) (neg.f64 (tan.f64 b))) a))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (*.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 b) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/24 binary64) (tan.f64 b) (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 b) #s(literal -1/5040 binary64)) (fma.f64 (-.f64 (*.f64 (tan.f64 b) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/24 binary64) (tan.f64 b) (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (tan.f64 b) (*.f64 #s(literal 1/24 binary64) (*.f64 (tan.f64 b) #s(literal 1/3 binary64)))))) (*.f64 a a)))) (*.f64 a a) (neg.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)))) (*.f64 a a) (neg.f64 (tan.f64 b))) a))
#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 #s(literal 1/6 binary64) (*.f64 a a)) (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 #s(literal 1/6 binary64) (*.f64 a a) #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 (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) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#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 (*.f64 (*.f64 a r) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
#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 (*.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (*.f64 r (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) 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 r (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (neg.f64 (sin.f64 b))) (cos.f64 b)))) a)) (fma.f64 (*.f64 (tan.f64 b) r) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 2 binary64))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (*.f64 r (/.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 b))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) a) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (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 (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 a (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) (cos.f64 b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 (+.f64 a b)))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 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 (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 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 (+.f64 a b)))
#s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 a b)))
#s(approx (+ a b) (+.f64 a b))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 (+.f64 a b)))
#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)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b) (neg.f64 a)))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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 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 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) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) 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) (+.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 a) #s(literal 1/2 binary64) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) r) (cos.f64 a))) (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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 #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 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) (fma.f64 (tan.f64 a) #s(literal 1/2 binary64) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (+.f64 (neg.f64 (*.f64 b (tan.f64 a))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (fma.f64 b (+.f64 (neg.f64 (tan.f64 a)) (neg.f64 (*.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 a) #s(literal 1/120 binary64)) (fma.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) #s(literal -1/2 binary64) (*.f64 (tan.f64 a) #s(literal 1/24 binary64)))) (*.f64 b b))) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) (*.f64 b b) (neg.f64 (tan.f64 a))) b #s(literal 1 binary64)))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (neg.f64 (*.f64 b (tan.f64 a))))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (*.f64 (+.f64 (neg.f64 (tan.f64 a)) (neg.f64 (*.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) (*.f64 b b)))) b))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (*.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 a) #s(literal 1/120 binary64)) (fma.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) #s(literal -1/2 binary64) (*.f64 (tan.f64 a) #s(literal 1/24 binary64)))) (*.f64 b b))) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) (*.f64 b b) (neg.f64 (tan.f64 a))) b))
#s(approx (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (*.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 (-.f64 (*.f64 (tan.f64 a) #s(literal 1/120 binary64)) (fma.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) #s(literal -1/2 binary64) (*.f64 (tan.f64 a) #s(literal 1/24 binary64))))) (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 a) #s(literal -1/5040 binary64)) (fma.f64 (-.f64 (*.f64 (tan.f64 a) #s(literal 1/120 binary64)) (fma.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) #s(literal -1/2 binary64) (*.f64 (tan.f64 a) #s(literal 1/24 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) #s(literal 1/24 binary64) (*.f64 (tan.f64 a) #s(literal -1/720 binary64))))) (*.f64 b b)))) (*.f64 b b) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) (*.f64 b b) (neg.f64 (tan.f64 a))) b))
#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 (* (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 (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) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.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 (+ (* 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 (/ (* 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) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.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 (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) 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) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 a)) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.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 (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (neg.f64 (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 (pow.f64 (neg.f64 (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 r (cos.f64 a))) b))
#s(approx (+ (* (* b b) -1/6) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 b (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 b (fma.f64 b (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) b) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (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 (+ (* 1/2 (PI)) b) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 b (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) (cos.f64 a)))
#s(approx (neg (sin b)) (neg.f64 b))
#s(approx (neg (sin b)) (*.f64 (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 (sin b) (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) -1/6) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) a) b) #s(literal 1 binary64)) b))
#s(approx (+ a b) (-.f64 b (neg.f64 a)))
#s(approx (+ (* 1/2 (PI)) b) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
#s(approx (neg (sin b)) (neg.f64 (sin.f64 b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.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 (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b))))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (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))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (+ (* 1/2 (PI)) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal -1 binary64))))

eval64.0ms (1.2%)

Memory
6.6MiB live, 103.3MiB allocated; 19ms collecting garbage
Compiler

Compiled 5 924 to 2 388 computations (59.7% saved)

prune68.0ms (1.3%)

Memory
35.5MiB live, 127.4MiB allocated; 5ms collecting garbage
Pruning

84 alts after pruning (81 fresh and 3 done)

PrunedKeptTotal
New41037447
Fresh84452
Picked325
Done011
Total42184505
Accuracy
99.9%
Counts
505 → 84
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))
99.4%
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.f64 b)))
57.7%
(/.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))))
72.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
52.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
51.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) #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)))))
51.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) #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)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
55.7%
(/.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))))))
▶56.2%
(/.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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
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 (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)))))))
57.6%
(/.f64 (*.f64 r (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))) (fma.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (-.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) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
▶99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
86.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.f64 b)) (cos.f64 a)))
74.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
36.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
29.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓36.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
33.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))))
53.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
33.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))
49.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))))
▶36.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
32.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
32.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
36.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))
35.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
48.6%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
31.8%
(/.f64 (*.f64 r #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))) (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 (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))))))
48.8%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
48.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
32.1%
(/.f64 (*.f64 r #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))) (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 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
48.5%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
49.2%
(/.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 (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))))))
32.7%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
▶48.4%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
32.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
32.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
48.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
51.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
48.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
57.5%
(/.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)))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
99.3%
(*.f64 (/.f64 r (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
99.3%
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.f64 b))))
57.6%
(*.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)))))
72.5%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
52.4%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
48.8%
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
57.6%
(*.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)))))
52.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
48.8%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
56.3%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
48.5%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
53.6%
#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))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
56.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
56.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
32.2%
#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))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
16.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
32.2%
#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)))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
13.3%
#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)))
15.4%
#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)))
▶15.4%
#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 3 047 to 2 772 computations (9% saved)

series63.0ms (1.2%)

Memory
-42.9MiB live, 105.3MiB allocated; 11ms collecting garbage
Counts
44 → 145
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (* r (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 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(/.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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (sin.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) b)
Outputs
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b))))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (* (* (* (* b b) b) r) 1/3) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (* (* b b) b) r) #s(hole binary64 (* (pow b 3) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (cos (+ b (* 1/2 (PI)))) (sin a))))))
#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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b))))) (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 (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* a (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b)))))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 1))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (* a (sin b)) (cos b))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (sin b) (cos b))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b))))))) (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos 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 (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 (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (+ (* 1/2 (/ (* (pow a 2) (sin b)) (cos b))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (/ (sin b) (cos b))) (* 1/24 (/ (sin b) (cos b)))))) (* -1/2 (/ (sin b) (cos b))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (/ (sin b) (cos b))) (+ (* 1/48 (/ (sin b) (cos b))) (* 1/2 (+ (* -1/4 (/ (sin b) (cos b))) (* 1/24 (/ (sin b) (cos b))))))))) (+ (* -1/4 (/ (sin b) (cos b))) (* 1/24 (/ (sin b) (cos b)))))) (* -1/2 (/ (sin b) (cos b))))) (/ (sin b) (cos b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* 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) (* 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 (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* a (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* a (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* a (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (+ (* -1 a) (* 1/2 (PI)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #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 (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos b) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos b) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos b) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (cos (+ b (* 1/2 (PI)))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/6 (* (pow a 2) (cos (+ b (* 1/2 (PI))))))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (+ (cos (+ b (* 1/2 (PI)))) (* (pow a 2) (+ (* -1/6 (cos (+ b (* 1/2 (PI))))) (* 1/120 (* (pow a 2) (cos (+ b (* 1/2 (PI))))))))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (+ (cos (+ b (* 1/2 (PI)))) (* (pow a 2) (+ (* -1/6 (cos (+ b (* 1/2 (PI))))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (cos (+ b (* 1/2 (PI)))))) (* 1/120 (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))
#s(approx (neg (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (/ (sin b) (* (cos a) (cos 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 (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) 1))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (* (cos a) (cos b)) (* (cos (+ b (* 1/2 (PI)))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* (cos (+ b (* 1/2 (PI)))) (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)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (sin (+ (* -1 a) (* 1/2 (PI))))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (PI) a)))))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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))) (/ (* r (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a))))) (cos a)))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* b (* (cos a) (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a)))))))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (* b (sin a)) (cos a))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))) (* -1 (/ (sin a) (cos a))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a))))))) (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))))))))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* 1/3 (/ (pow b 2) (cos a))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* (pow b 2) (+ (* 2/15 (/ (pow b 2) (cos a))) (* 1/3 (/ 1 (cos a))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 17/315 (/ (pow b 2) (cos a))) (* 2/15 (/ 1 (cos a))))) (* 1/3 (/ 1 (cos a))))) (/ 1 (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 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 (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (/ (* b r) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (* b (+ (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))) (/ (* b (* r (* (sin a) (sin (* 1/2 (PI)))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (* (pow (sin a) 2) (pow (sin (* 1/2 (PI))) 2))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (* -1 (/ (* r (* (sin a) (sin (* 1/2 (PI))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (* (sin (* 1/2 (PI))) (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (* (pow (sin a) 2) (pow (sin (* 1/2 (PI))) 2))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))))) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* 1/6 (/ (* r (* (sin a) (sin (* 1/2 (PI))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ (* r (* (sin a) (* (sin (* 1/2 (PI))) (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3)))))) (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (* (pow (sin a) 2) (pow (sin (* 1/2 (PI))) 2))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (* -1 (/ (* r (* (sin a) (sin (* 1/2 (PI))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (+ (* -1 (* b (* (sin a) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (cos a)) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* 1/6 (* b (* (sin a) (sin (* 1/2 (PI))))))))))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* (cos (* 1/2 (PI))) (sin a))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (+ (* -1 (* b (* (sin a) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* -1/2 (* b (* (cos (* 1/2 (PI))) (sin a)))))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* 1/6 (* b (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (cos (* 1/2 (PI)))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (* b (sin (* 1/2 (PI))))))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* b (- (* -1/2 (* b (cos (* 1/2 (PI))))) (sin (* 1/2 (PI))))))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* b (- (* b (+ (* -1/2 (cos (* 1/2 (PI)))) (* 1/6 (* b (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (+ b (* 1/2 (PI)))))
#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 (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (cos (+ b (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* b (+ 1 (* 1/2 (/ (PI) b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 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) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (cos (- (* 1/2 (PI)) (* -1 b))) (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (* (cos a) (cos b)) (* (cos (- (* 1/2 (PI)) (* -1 b))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* (cos (- (* 1/2 (PI)) (* -1 b))) (sin a))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (cos (- (* 1/2 (PI)) (* -1 b)))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
r
@0
((/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (neg (sin a)) (sin a) a (/ (sin b) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos b) (cos a) 1 (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg a) (* 1/2 (PI)))) (+ (neg a) (* 1/2 (PI))) (neg a) (* 1/2 (PI)) 1/2 (PI) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (cos a) (* (sin a) (cos (+ (* 1/2 (PI)) b))) (cos (+ (* 1/2 (PI)) b)) (+ (* 1/2 (PI)) b))
9.0ms
b
@-inf
((/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (neg (sin a)) (sin a) a (/ (sin b) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos b) (cos a) 1 (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg a) (* 1/2 (PI)))) (+ (neg a) (* 1/2 (PI))) (neg a) (* 1/2 (PI)) 1/2 (PI) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (cos a) (* (sin a) (cos (+ (* 1/2 (PI)) b))) (cos (+ (* 1/2 (PI)) b)) (+ (* 1/2 (PI)) b))
7.0ms
r
@-inf
((/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (neg (sin a)) (sin a) a (/ (sin b) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos b) (cos a) 1 (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg a) (* 1/2 (PI)))) (+ (neg a) (* 1/2 (PI))) (neg a) (* 1/2 (PI)) 1/2 (PI) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (cos a) (* (sin a) (cos (+ (* 1/2 (PI)) b))) (cos (+ (* 1/2 (PI)) b)) (+ (* 1/2 (PI)) b))
7.0ms
r
@inf
((/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (neg (sin a)) (sin a) a (/ (sin b) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos b) (cos a) 1 (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg a) (* 1/2 (PI)))) (+ (neg a) (* 1/2 (PI))) (neg a) (* 1/2 (PI)) 1/2 (PI) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (cos a) (* (sin a) (cos (+ (* 1/2 (PI)) b))) (cos (+ (* 1/2 (PI)) b)) (+ (* 1/2 (PI)) b))
6.0ms
b
@inf
((/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (* r (sin b)) r (sin b) b (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (neg (sin a)) (sin a) a (/ (sin b) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos b) (cos a) 1 (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (* (+ (* 1/3 (* (* b b) r)) r) b) (* (* (* (* b b) b) r) 1/3) (* (* (* b b) b) r) (* (* b b) b) (* b b) 1/3 (/ (* r (sin b)) (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (sin (+ (neg a) (* 1/2 (PI)))) (+ (neg a) (* 1/2 (PI))) (neg a) (* 1/2 (PI)) 1/2 (PI) (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (cos a) (* (sin a) (cos (+ (* 1/2 (PI)) b))) (cos (+ (* 1/2 (PI)) b)) (+ (* 1/2 (PI)) b))

rewrite202.0ms (3.8%)

Memory
43.5MiB live, 224.4MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08805267
09394384
170494384
080184150
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
189 → 386
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (* r (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 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 a)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(/.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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
#s(approx (cos a) #s(literal 1 binary64))
(*.f64 (sin.f64 a) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) b)
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (/ (* r (sin b)) (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b))))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* r (sin b))))
#s(approx r #s(hole binary64 r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (+ a b)))))
#s(approx (* r (tan b)) #s(hole binary64 (/ (* r (sin b)) (cos b))))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) #s(hole binary64 (* b (* r (+ 1 (* 1/3 (pow b 2)))))))
#s(approx (* (* (* (* b b) b) r) 1/3) #s(hole binary64 (* 1/3 (* (pow b 3) r))))
#s(approx (* (* (* b b) b) r) #s(hole binary64 (* (pow b 3) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (cos (+ b (* 1/2 (PI)))) (sin a))))))
#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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (/ (* r (* (sin b) (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b))))) (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 (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (cos b)))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* -1 (* a (sin b))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* a (+ (* -1 (* (cos b) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* 1/2 (sin b)))))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 1))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (* a (sin b)) (cos b))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (sin b) (cos b))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* a (+ (* -1 (/ (sin b) (cos b))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (sin b) (cos b))) (+ (* -1/2 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos b))))) (* 1/24 (/ (sin b) (cos b))))))) (* -1 (- (* -1/6 (/ (sin b) (cos b))) (* -1/2 (/ (sin b) (cos 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 (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 (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (/ (sin b) (cos b))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (+ (* 1/2 (/ (* (pow a 2) (sin b)) (cos b))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (/ (sin b) (cos b))) (* 1/24 (/ (sin b) (cos b)))))) (* -1/2 (/ (sin b) (cos b))))) (/ (sin b) (cos b)))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (/ (sin b) (cos b))) (+ (* 1/48 (/ (sin b) (cos b))) (* 1/2 (+ (* -1/4 (/ (sin b) (cos b))) (* 1/24 (/ (sin b) (cos b))))))))) (+ (* -1/4 (/ (sin b) (cos b))) (* 1/24 (/ (sin b) (cos b)))))) (* -1/2 (/ (sin b) (cos b))))) (/ (sin b) (cos b)))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* -1/2 (pow a 2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))))
#s(approx (cos a) #s(hole binary64 (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (+ (* 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) (* 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 (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* a (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* a (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* a (+ (* -1 (cos (* 1/2 (PI)))) (* a (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* a (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (+ (* -1 a) (* 1/2 (PI)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (+ (* -1 (/ (* a (* r (* (cos (+ b (* 1/2 (PI)))) (sin b)))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #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 (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (pow (cos (+ b (* 1/2 (PI)))) 2) (sin b))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (cos (+ b (* 1/2 (PI)))) (sin b))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos b) (* a (cos (+ b (* 1/2 (PI))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos b) (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/2 (* a (cos b))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos b) (* a (+ (cos (+ b (* 1/2 (PI)))) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (cos (+ b (* 1/2 (PI)))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (+ (cos (+ b (* 1/2 (PI)))) (* -1/6 (* (pow a 2) (cos (+ b (* 1/2 (PI))))))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (+ (cos (+ b (* 1/2 (PI)))) (* (pow a 2) (+ (* -1/6 (cos (+ b (* 1/2 (PI))))) (* 1/120 (* (pow a 2) (cos (+ b (* 1/2 (PI))))))))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* a (+ (cos (+ b (* 1/2 (PI)))) (* (pow a 2) (+ (* -1/6 (cos (+ b (* 1/2 (PI))))) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (cos (+ b (* 1/2 (PI)))))) (* 1/120 (cos (+ b (* 1/2 (PI)))))))))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (* (cos a) (* (cos b) (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (* (sin a) (sin b)) (* (cos a) (cos b)))))))
#s(approx (neg (sin a)) #s(hole binary64 (* -1 (sin a))))
#s(approx (sin a) #s(hole binary64 (sin a)))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (/ (sin b) (* (cos a) (cos 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 (cos (+ a b)) #s(hole binary64 (cos (+ a b))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (sin (- (* 1/2 (PI)) a))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (* a (- (* 1/2 (/ (PI) a)) 1))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (* (cos a) (cos b)) (* (cos (+ b (* 1/2 (PI)))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* (cos (+ b (* 1/2 (PI)))) (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)) #s(hole binary64 (cos (- b (* -1 a)))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) #s(hole binary64 (sin (+ (* -1 a) (* 1/2 (PI))))))
#s(approx (+ (neg a) (* 1/2 (PI))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (PI) a)))))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (/ (* b r) (cos a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) #s(hole binary64 (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (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))) (/ (* r (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a))))) (cos a)))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b r)))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* -1/6 (* (pow b 2) r))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))))
#s(approx (* r (sin b)) #s(hole binary64 (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))))
#s(approx (sin b) #s(hole binary64 b))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* -1/6 (pow b 2))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))))
#s(approx (sin b) #s(hole binary64 (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* -1 (* b (sin a))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))))
#s(approx (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a))) #s(hole binary64 (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* b (* (cos a) (+ (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/2 (/ (sin a) (cos a)))))))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (* b (sin a)) (cos a))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* b (+ (* -1 (* (pow b 2) (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a)))))) (* -1 (/ (sin a) (cos a))))))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(hole binary64 (+ 1 (* b (+ (* -1 (/ (sin a) (cos a))) (* (pow b 2) (+ (* -1 (* (pow b 2) (- (* 1/120 (/ (sin a) (cos a))) (+ (* -1/2 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))) (* 1/24 (/ (sin a) (cos a))))))) (* -1 (- (* -1/6 (/ (sin a) (cos a))) (* -1/2 (/ (sin a) (cos a))))))))))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (/ b (cos a))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* 1/3 (/ (pow b 2) (cos a))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* (pow b 2) (+ (* 2/15 (/ (pow b 2) (cos a))) (* 1/3 (/ 1 (cos a))))) (/ 1 (cos a))))))
#s(approx (/ (sin b) (* (cos b) (cos a))) #s(hole binary64 (* b (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 17/315 (/ (pow b 2) (cos a))) (* 2/15 (/ 1 (cos a))))) (* 1/3 (/ 1 (cos a))))) (/ 1 (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))))
#s(approx (* (cos b) (cos a)) #s(hole binary64 (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* -1/2 (pow b 2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))))
#s(approx (cos b) #s(hole binary64 (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))))
#s(approx (* r (tan b)) #s(hole binary64 (* b (+ r (* 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 (+ (* (* b b) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow b 2)))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))))
#s(approx (cos (+ a b)) #s(hole binary64 (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (/ (* b r) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (* b (+ (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))) (/ (* b (* r (* (sin a) (sin (* 1/2 (PI)))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (* (pow (sin a) 2) (pow (sin (* 1/2 (PI))) 2))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (* -1 (/ (* r (* (sin a) (sin (* 1/2 (PI))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (* (sin (* 1/2 (PI))) (- (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* -1 (/ (* r (* (pow (sin a) 2) (pow (sin (* 1/2 (PI))) 2))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2)))))) (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))) (+ (* 1/6 (/ (* r (* (sin a) (sin (* 1/2 (PI))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))) (/ (* r (* (sin a) (* (sin (* 1/2 (PI))) (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3)))))) (* -1/6 (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))) (+ (* -1 (/ (* r (* (pow (sin a) 2) (pow (sin (* 1/2 (PI))) 2))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 3))) (/ (* r (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (* -1 (/ (* r (* (sin a) (sin (* 1/2 (PI))))) (pow (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))) 2))))) (/ r (+ (cos a) (* (cos (* 1/2 (PI))) (sin a))))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (+ (* -1 (* b (* (sin a) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (cos a)) (* -1/2 (* (cos (* 1/2 (PI))) (sin a))))))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (cos a) (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (cos a)) (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* 1/6 (* b (* (sin a) (sin (* 1/2 (PI))))))))))) (* (cos (* 1/2 (PI))) (sin a))))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* (cos (* 1/2 (PI))) (sin a))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (+ (* -1 (* b (* (sin a) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* -1/2 (* b (* (cos (* 1/2 (PI))) (sin a)))))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (+ (* b (+ (* -1 (* (sin a) (sin (* 1/2 (PI))))) (* b (+ (* -1/2 (* (cos (* 1/2 (PI))) (sin a))) (* 1/6 (* b (* (sin a) (sin (* 1/2 (PI)))))))))) (* (cos (* 1/2 (PI))) (sin a)))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (cos (* 1/2 (PI)))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (* b (sin (* 1/2 (PI))))))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* b (- (* -1/2 (* b (cos (* 1/2 (PI))))) (sin (* 1/2 (PI))))))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* b (- (* b (+ (* -1/2 (cos (* 1/2 (PI)))) (* 1/6 (* b (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (+ b (* 1/2 (PI)))))
#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 (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* -1/6 (pow b 3))))
#s(approx (* (+ (* (* b b) -1/6) 1) b) #s(hole binary64 (* (pow b 3) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* -1/6 (pow b 2))))
#s(approx (+ (* (* b b) -1/6) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) 1/6))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (cos (+ b (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* b (+ 1 (* 1/2 (/ (PI) b))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(hole binary64 (/ (* r (sin b)) (cos (- a (* -1 b))))))
#s(approx (* (+ (* 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) -1/6) 1) b) #s(hole binary64 (* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))))
#s(approx (cos (+ a b)) #s(hole binary64 (cos (- a (* -1 b)))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) #s(hole binary64 (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (cos (- (* 1/2 (PI)) (* -1 b))) (sin a))))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) #s(hole binary64 (+ (* (cos a) (cos b)) (* (cos (- (* 1/2 (PI)) (* -1 b))) (sin a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) #s(hole binary64 (* (cos (- (* 1/2 (PI)) (* -1 b))) (sin a))))
#s(approx (cos (+ (* 1/2 (PI)) b)) #s(hole binary64 (cos (- (* 1/2 (PI)) (* -1 b)))))
#s(approx (+ (* 1/2 (PI)) b) #s(hole binary64 (* -1 (* b (- (* -1/2 (/ (PI) b)) 1)))))
Outputs
(*.f64 (/.f64 r (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64))) (/.f64 (tan.f64 b) (cos.f64 a)))
(*.f64 (/.f64 r (cos.f64 a)) (/.f64 (sin.f64 b) (*.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)) (cos.f64 b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b (neg.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 a)))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64))) (*.f64 (cos.f64 a) (cos.f64 b)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) (*.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)) (cos.f64 b)))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (-.f64 b (neg.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b (neg.f64 a))) (*.f64 (sin.f64 b) r)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(*.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)) (cos.f64 b)) (cos.f64 a))
(*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)))
(*.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)) (*.f64 (cos.f64 a) (cos.f64 b)))
(*.f64 (cos.f64 a) (*.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)) (cos.f64 b)))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (fabs.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (-.f64 b (neg.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))) #s(literal 1 binary64)) (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))))))
(fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (tan.f64 b) (cos.f64 a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (tan.f64 a) (tan.f64 b)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (tan.f64 a) (tan.f64 b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (tan.f64 b) (cos.f64 a)) (neg.f64 (sin.f64 a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 1 binary64))
(-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 a) (tan.f64 b))))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b)))))
(+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))))
(*.f64 #s(literal -1 binary64) (sin.f64 a))
(*.f64 (sin.f64 a) #s(literal -1 binary64))
(neg.f64 (sin.f64 a))
(sin.f64 (+.f64 a (PI.f64)))
(sin.f64 (neg.f64 a))
(cos.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 a)
a
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (/.f64 (sin.f64 b) (cos.f64 a)) (cos.f64 b))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (tan.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.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 (neg.f64 a) b)) (cos.f64 (-.f64 (neg.f64 a) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a (neg.f64 b))) (cos.f64 (+.f64 a 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 (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 (neg.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 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 b (neg.f64 a)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b))) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) (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))) b)) (sin.f64 (+.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))) b))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))) (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 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 b a))) #s(literal 2 binary64))
(sin.f64 (+.f64 b (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 b))
(cos.f64 (fabs.f64 b))
(cos.f64 b)
(sin.f64 (+.f64 a (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (fabs.f64 a))
(cos.f64 (neg.f64 a))
(cos.f64 a)
#s(literal 1 binary64)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r)))
#s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r)
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r))
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 b b) b) r))
(*.f64 (*.f64 (*.f64 b b) b) r)
(*.f64 (*.f64 b b) (*.f64 b r))
(*.f64 r (*.f64 (*.f64 b b) b))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (*.f64 b b) b)
(*.f64 b (*.f64 b b))
(pow.f64 b #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
#s(literal 1/3 binary64)
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (neg.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)) (neg.f64 #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)) (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)))
(*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r)
(*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)))
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(+.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) b))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal -1 binary64))
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(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
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(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
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(neg.f64 a)
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(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
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(fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a)))
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#s(approx (cos a) #s(literal 1 binary64))
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(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
(cos.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
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(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)
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#s(approx r r)
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#s(approx (* (* (* b b) b) r) (*.f64 (*.f64 (*.f64 b b) b) r))
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#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 a (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) (cos.f64 b)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 b) (neg.f64 (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) (cos.f64 b)))) a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b)))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(literal 1 binary64))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (+.f64 (neg.f64 (*.f64 a (tan.f64 b))) #s(literal 1 binary64)))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (fma.f64 a (+.f64 (neg.f64 (tan.f64 b)) (neg.f64 (*.f64 (*.f64 a a) (*.f64 (tan.f64 b) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 b) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/24 binary64) (tan.f64 b) (*.f64 (*.f64 (tan.f64 b) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 a a)))) (*.f64 a a) (neg.f64 (tan.f64 b))) a #s(literal 1 binary64)))
#s(approx (neg (sin a)) (neg.f64 a))
#s(approx (neg (sin a)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #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 (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 (/ (sin b) (* (cos b) (cos a))) (tan.f64 b))
#s(approx (/ (sin b) (* (cos b) (cos a))) (fma.f64 (*.f64 (*.f64 a a) (tan.f64 b)) #s(literal 1/2 binary64) (tan.f64 b)))
#s(approx (/ (sin b) (* (cos b) (cos a))) (fma.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 b) #s(literal -5/24 binary64)) (*.f64 a a))) (*.f64 (tan.f64 b) #s(literal -1/2 binary64))) (*.f64 a a) (tan.f64 b)))
#s(approx (/ (sin b) (* (cos b) (cos a))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (tan.f64 b) (fma.f64 #s(literal 1/48 binary64) (tan.f64 b) (*.f64 (*.f64 (tan.f64 b) #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 a a))) (*.f64 (tan.f64 b) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (tan.f64 b))) (*.f64 a a) (tan.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) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (sin.f64 b)) (cos.f64 b)))) a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) a) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (tan.f64 b) r)))
#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 (+ (neg a) (* 1/2 (PI)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) (fma.f64 (neg.f64 a) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) (fma.f64 a (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) (fma.f64 (fma.f64 a (fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) a) #s(literal 1/6 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) a (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (neg a) (* 1/2 (PI))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (neg a) (* 1/2 (PI))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (fma.f64 (tan.f64 b) r (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (*.f64 (tan.f64 b) r)))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64) (neg.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 b) r) (neg.f64 (*.f64 r (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (cos.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 (/.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))))))) a) (/.f64 (*.f64 (*.f64 r (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (sin.f64 b)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (*.f64 (tan.f64 b) r)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a (cos.f64 b)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 a (fma.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (cos.f64 b)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 a (fma.f64 a (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) (cos.f64 b)))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) a))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/6 binary64)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal 1/120 binary64) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal -1/6 binary64))) (*.f64 a a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))) (*.f64 a a) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) #s(literal -1/6 binary64))) (*.f64 a a) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b))) a))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)))
#s(approx (neg (sin a)) (neg.f64 (sin.f64 a)))
#s(approx (sin a) (sin.f64 a))
#s(approx (/ (sin b) (* (cos b) (cos a))) (/.f64 (tan.f64 b) (cos.f64 a)))
#s(approx (* (cos b) (cos a)) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (cos a) (cos.f64 a))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))
#s(approx (+ (neg a) (* 1/2 (PI))) (*.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) #s(literal -1 binary64)) a))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (neg.f64 a)))))
#s(approx (cos (+ a b)) (cos.f64 (-.f64 b (neg.f64 a))))
#s(approx (sin (+ (neg a) (* 1/2 (PI)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))
#s(approx (+ (neg a) (* 1/2 (PI))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 (fma.f64 b (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos 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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (tan.f64 a) #s(literal 1/2 binary64) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) r) (cos.f64 a))) (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 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b))
#s(approx (* r (sin b)) (*.f64 b r))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/6 binary64) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b b) r) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (* r (sin b)) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 b b) r) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) r)) (*.f64 #s(literal -1/6 binary64) r)) (*.f64 b b) r) b))
#s(approx (sin b) b)
#s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))
#s(approx (sin b) (*.f64 (fma.f64 (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 (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a)))
#s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 a) b) (fma.f64 (tan.f64 a) #s(literal 1/2 binary64) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (+.f64 (neg.f64 (*.f64 b (tan.f64 a))) #s(literal 1 binary64)))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (fma.f64 b (+.f64 (neg.f64 (tan.f64 a)) (neg.f64 (*.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))
#s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (tan.f64 a) #s(literal 1/120 binary64)) (fma.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)) #s(literal -1/2 binary64) (*.f64 (tan.f64 a) #s(literal 1/24 binary64)))) (*.f64 b b))) (neg.f64 (*.f64 (tan.f64 a) #s(literal 1/3 binary64)))) (*.f64 b b) (neg.f64 (tan.f64 a))) b #s(literal 1 binary64)))
#s(approx (/ (sin b) (* (cos b) (cos a))) (/.f64 b (cos.f64 a)))
#s(approx (/ (sin b) (* (cos b) (cos a))) (fma.f64 b (/.f64 (*.f64 (*.f64 b b) #s(literal 1/3 binary64)) (cos.f64 a)) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (* (cos b) (cos a))) (fma.f64 b (*.f64 (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 b b) (cos.f64 a)) (/.f64 #s(literal 1/3 binary64) (cos.f64 a))) (*.f64 b b)) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (* (cos b) (cos a))) (fma.f64 b (*.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (/.f64 (*.f64 b b) (cos.f64 a)) (/.f64 #s(literal 2/15 binary64) (cos.f64 a))) (*.f64 b b) (/.f64 #s(literal 1/3 binary64) (cos.f64 a))) (*.f64 b b)) (/.f64 b (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 (/ (* r (sin b)) (cos (+ a b))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (sin.f64 a)) (cos.f64 a)))) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) b) (neg.f64 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.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 (+ (* (* b b) -1/6) 1) (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#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 (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (/.f64 (*.f64 b r) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (*.f64 (fma.f64 b (*.f64 r (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 r (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64)))))) b) (neg.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64)))))) b (/.f64 r (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)))) b))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (+.f64 (fma.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 r (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 a)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64))))))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))))) (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) r) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) (fma.f64 r (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) #s(literal 2 binary64)) r) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64))))))) b) (neg.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) #s(literal 2 binary64)))))) b (/.f64 r (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)))) b))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (+.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (*.f64 (neg.f64 b) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)))) (cos.f64 a)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))) b (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) b (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a))) (cos.f64 a)))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a)) (*.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)))) b (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) b (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a))) (cos.f64 a)))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (*.f64 (neg.f64 b) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) b (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a)) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 a))) b (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) b (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a))))
#s(approx (cos (+ (* 1/2 (PI)) b)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (cos (+ (* 1/2 (PI)) b)) (fma.f64 (neg.f64 b) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos (+ (* 1/2 (PI)) b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) b) #s(literal -1/2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos (+ (* 1/2 (PI)) b)) (fma.f64 b (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) b) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1/2 (PI)) b) (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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 (* (+ (* (* b b) -1/6) 1) b) (*.f64 (*.f64 (*.f64 b b) b) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* b b) -1/6) 1) b) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (*.f64 b b) b)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (*.f64 b b) #s(literal -1/6 binary64)))
#s(approx (+ (* (* b b) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b)))
#s(approx (cos (+ (* 1/2 (PI)) b)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 (PI)) b) (fma.f64 (PI.f64) #s(literal 1/2 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) (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 (* (+ (* (* b b) -1/6) 1) b) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b))))
#s(approx (cos (+ a b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
#s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
#s(approx (* (sin a) (cos (+ (* 1/2 (PI)) b))) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a)))
#s(approx (cos (+ (* 1/2 (PI)) b)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)))
#s(approx (+ (* 1/2 (PI)) b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal -1 binary64))))

eval57.0ms (1.1%)

Memory
12.3MiB live, 101.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 928 to 2 160 computations (63.6% saved)

prune119.0ms (2.2%)

Memory
-39.4MiB live, 116.3MiB allocated; 25ms collecting garbage
Pruning

91 alts after pruning (87 fresh and 4 done)

PrunedKeptTotal
New36926395
Fresh156176
Picked415
Done033
Total38891479
Accuracy
99.9%
Counts
479 → 91
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) (*.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)) (cos.f64 b)))
56.2%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b))))
57.7%
(/.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))))
72.6%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
52.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
36.9%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
55.7%
(/.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))))))
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 (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)))))))
57.6%
(/.f64 (*.f64 r (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))) (fma.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (-.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) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (/.f64 (tan.f64 b) (cos.f64 a)) (neg.f64 (sin.f64 a)) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
73.3%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (sin.f64 (+.f64 a (PI.f64))) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
✓99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
86.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64)) (cos.f64 b)) (cos.f64 a)))
74.1%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
36.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
29.8%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
38.7%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓36.0%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
33.9%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
36.2%
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
48.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
60.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))))
52.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))))
53.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
49.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))))
29.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 a a (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))))
36.8%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
32.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
32.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
36.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))
35.8%
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
31.8%
(/.f64 (*.f64 r #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))) (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 (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))))))
48.8%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
48.8%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
32.1%
(/.f64 (*.f64 r #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))) (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 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
48.5%
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
49.2%
(/.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 (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))))))
29.9%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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)))))
30.2%
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
33.2%
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
32.9%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
32.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
48.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
51.3%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
48.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
57.5%
(/.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)))
52.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
36.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) (*.f64 (sin.f64 b) r)))
99.5%
(*.f64 (/.f64 r (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64))) (/.f64 (tan.f64 b) (cos.f64 a)))
99.3%
(*.f64 (/.f64 r (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
57.6%
(*.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)))))
52.4%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
36.9%
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))
48.3%
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
57.6%
(*.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)))))
52.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
36.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))
48.8%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
48.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
48.5%
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
56.3%
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
53.6%
#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))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
56.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
56.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
56.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (sin.f64 b)))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
32.2%
#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))))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
16.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
32.2%
#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)))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
13.3%
#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)))
15.4%
#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)))
15.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
✓15.4%
#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)))))
6.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
15.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
15.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
6.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
15.4%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
Compiler

Compiled 3 178 to 2 216 computations (30.3% saved)

regimes147.0ms (2.7%)

Memory
-8.0MiB live, 224.2MiB allocated; 22ms collecting garbage
Counts
134 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
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(*.f64 (/.f64 r (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 a)) (*.f64 (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64)) (cos.f64 b)))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal 1 binary64))) (*.f64 (cos.f64 b) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) (sin.f64 a)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (-.f64 (*.f64 (neg.f64 b) (sin.f64 a)) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (/.f64 (tan.f64 b) (cos.f64 a)) (neg.f64 (sin.f64 a)) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (neg.f64 (sin.f64 a)) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 b)) (/.f64 (sin.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (fma.f64 (sin.f64 (+.f64 a (PI.f64))) (/.f64 (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 a (PI.f64))) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))) (*.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) (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)) (fma.f64 (cos.f64 a) (-.f64 (*.f64 (sin.f64 b) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 b) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (-.f64 (*.f64 (sin.f64 a) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 a) (sin.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (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) #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))) (fma.f64 (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))) (-.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) #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 (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 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 (-.f64 (neg.f64 (*.f64 (tan.f64 a) (tan.f64 b))) #s(literal -1 binary64))) (/.f64 (tan.f64 b) (cos.f64 a)))
Calls

4 calls:

36.0ms
a
36.0ms
b
34.0ms
r
33.0ms
(/.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)

regimes128.0ms (2.4%)

Memory
7.1MiB live, 154.2MiB allocated; 8ms collecting garbage
Counts
103 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r #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))) (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 (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 (/ (* r (sin b)) (cos (+ a b))) (fma.f64 a (*.f64 r (*.f64 (tan.f64 b) (tan.f64 b))) (*.f64 r (tan.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 a a (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))))
(/.f64 (*.f64 r #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))) (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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
(/.f64 (*.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 r (sin.f64 b)) #s(approx (+ (* (cos a) (cos b)) (* (sin a) (cos (+ (* 1/2 (PI)) b)))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 a) (cos.f64 a))))
(/.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 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 (+.f64 b (PI.f64))))))
(*.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) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) b)) (sin.f64 a) (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos a) #s(literal 1 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 #s(approx (sin b) (*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 #s(approx (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) #s(literal 1 binary64)) (*.f64 (cos.f64 b) (cos.f64 a))))
Calls

4 calls:

45.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
27.0ms
a
27.0ms
r
25.0ms
b
Results
AccuracySegmentsBranch
74.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
74.1%1r
74.1%1a
74.1%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes93.0ms (1.7%)

Memory
-1.5MiB live, 98.8MiB allocated; 5ms collecting garbage
Counts
84 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)) (*.f64 (sin.f64 b) r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 b) (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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a))) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (sin.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 (+.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r (exp.f64 (*.f64 (log.f64 (sin.f64 b)) #s(literal 1 binary64)))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

4 calls:

26.0ms
r
22.0ms
a
21.0ms
b
20.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
72.6%1a
72.6%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
72.6%1r
72.6%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes59.0ms (1.1%)

Memory
30.5MiB live, 121.6MiB allocated; 7ms collecting garbage
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (+ a b) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
Calls

4 calls:

16.0ms
b
15.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
13.0ms
a
13.0ms
r
Results
AccuracySegmentsBranch
60.6%3r
61.9%3(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
72.6%3b
72.7%3a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes20.0ms (0.4%)

Memory
-13.3MiB live, 30.5MiB allocated; 8ms collecting garbage
Counts
47 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (sin (+ (+ a b) (/ (PI) 2))) (cos.f64 a)))
Calls

1 calls:

18.0ms
a
Results
AccuracySegmentsBranch
72.7%3a
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes36.0ms (0.7%)

Memory
-3.2MiB live, 50.9MiB allocated; 15ms collecting garbage
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 r #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))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

2 calls:

22.0ms
a
12.0ms
b
Results
AccuracySegmentsBranch
72.6%3b
70.7%3a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes18.0ms (0.3%)

Memory
-14.1MiB live, 30.1MiB allocated; 7ms collecting garbage
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) a))))
(*.f64 (*.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
72.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (cos.f64 (+.f64 a b))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
72.6%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory
-20.1MiB live, 26.6MiB allocated; 1ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a)))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
72.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 #s(approx (+ (+ a b) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) b)) #s(approx (cos (+ a b)) (sin.f64 (+.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (sin.f64 (+.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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)) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
72.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.2%)

Memory
-28.6MiB live, 17.6MiB allocated; 2ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos 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)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (* (+ (* (neg (sin a)) (/ (sin b) (* (cos b) (cos a)))) 1) (* (cos b) (cos a)))) (*.f64 b (/.f64 r (cos.f64 a))))
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:

8.0ms
b
Results
AccuracySegmentsBranch
72.5%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.5%)

Memory
15.2MiB live, 69.1MiB allocated; 5ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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 (/ (* 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)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64))))
Outputs
#s(approx (/ (* r (sin b)) (sin (+ (+ a b) (/ (PI) 2)))) (*.f64 (tan.f64 b) r))
Calls

4 calls:

9.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
7.0ms
a
7.0ms
r
6.0ms
b
Results
AccuracySegmentsBranch
56.3%1r
56.3%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
56.3%1a
56.3%1b
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes25.0ms (0.5%)

Memory
16.1MiB live, 63.3MiB allocated; 0ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b (*.f64 b r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) r) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (+.f64 (*.f64 b r) (*.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.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)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64)) r)) r) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64))) r) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 r #s(approx (tan b) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 b b) #s(literal 2/15 binary64)) (*.f64 b b) #s(literal 1/3 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) r) r) b)))
(/.f64 (*.f64 r #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b))) #s(approx (* (+ 1 (/ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (cos b) (cos a))) #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)))))
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:

6.0ms
r
6.0ms
b
6.0ms
a
5.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
32.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
32.2%1b
32.2%1r
32.2%1a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes11.0ms (0.2%)

Memory
-19.6MiB live, 25.1MiB allocated; 2ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/3 binary64) #s(literal 1 binary64)) r)) b)))
Calls

4 calls:

4.0ms
a
2.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.0ms
r
2.0ms
b
Results
AccuracySegmentsBranch
32.2%1b
32.2%1r
32.2%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
32.2%1a
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes20.0ms (0.4%)

Memory
-8.4MiB live, 29.9MiB allocated; 12ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 b b) b)) r))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/3 binary64) r)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) r) #s(literal 1/3 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) (*.f64 #s(approx (+ (* 1/3 (* (* b b) r)) r) (*.f64 (*.f64 (*.f64 b b) r) #s(literal 1/3 binary64))) b)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* r (tan b)) #s(approx (* (+ (* 1/3 (* (* b b) r)) r) b) (*.f64 (*.f64 (*.f64 b b) (*.f64 b r)) #s(literal 1/3 binary64)))))
Calls

4 calls:

13.0ms
b
2.0ms
a
2.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.0ms
r
Results
AccuracySegmentsBranch
15.4%1b
15.4%1r
15.4%1a
15.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 11 to 17 computations (-54.5% saved)

regimes5.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
1.0ms
a
1.0ms
b
1.0ms
r
Results
AccuracySegmentsBranch
15.4%1b
15.4%1r
15.4%1a
15.4%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 11 to 17 computations (-54.5% saved)

bsearch72.0ms (1.3%)

Memory
-9.1MiB live, 90.4MiB allocated; 30ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
6.571802010184438e-10
17.117837887269665
39.0ms
-655145.0081609591
-28.712978676661244
Samples
49.0ms152×1valid
9.0ms136×0valid
Compiler

Compiled 534 to 572 computations (-7.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
adjust: 22.0ms (43.8% of total)
ival-sin: 15.0ms (29.9% of total)
ival-cos: 9.0ms (17.9% of total)
ival-div!: 2.0ms (4% of total)
ival-add!: 1.0ms (2% of total)
ival-mult!: 1.0ms (2% of total)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
6.571802010184438e-10
17.117837887269665
1.0ms
-655145.0081609591
-28.712978676661244
Compiler

Compiled 534 to 572 computations (-7.1% saved)

bsearch36.0ms (0.7%)

Memory
-6.7MiB live, 39.4MiB allocated; 3ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.0007876933935985442
0.026529228646959332
18.0ms
-14849.844677032937
-76.41385859646292
Samples
17.0ms118×1valid
8.0ms106×0valid
Compiler

Compiled 460 to 476 computations (-3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (37.1% of total)
ival-sin: 5.0ms (26.5% of total)
ival-div!: 3.0ms (15.9% of total)
adjust: 2.0ms (10.6% of total)
ival-add!: 1.0ms (5.3% of total)
ival-mult!: 1.0ms (5.3% of total)

bsearch30.0ms (0.6%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.0007876933935985442
0.026529228646959332
17.0ms
-76.41385859646292
-0.16360133667643803
Samples
13.0ms114×1valid
6.0ms94×0valid
Compiler

Compiled 447 to 479 computations (-7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 6.0ms (44.1% of total)
ival-sin: 3.0ms (22% of total)
adjust: 2.0ms (14.7% of total)
ival-add!: 1.0ms (7.3% of total)
ival-div!: 1.0ms (7.3% of total)
ival-mult!: 1.0ms (7.3% of total)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.0007876933935985442
0.026529228646959332
1.0ms
-76.41385859646292
-0.16360133667643803
Compiler

Compiled 447 to 479 computations (-7.2% saved)

bsearch36.0ms (0.7%)

Memory
-6.2MiB live, 39.9MiB allocated; 3ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.0001928296472382355
0.0007876933935985442
20.0ms
-0.0003019429775283852
-1.2070424592008567e-12
Samples
19.0ms147×1valid
5.0ms93×0valid
Compiler

Compiled 657 to 629 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 8.0ms (45.3% of total)
adjust: 3.0ms (17% of total)
ival-sin: 3.0ms (17% of total)
ival-div!: 2.0ms (11.3% of total)
ival-add!: 1.0ms (5.7% of total)
ival-mult!: 1.0ms (5.7% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001928296472382355
0.0007876933935985442
1.0ms
-0.0003019429775283852
-1.2070424592008567e-12
Compiler

Compiled 417 to 449 computations (-7.7% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001928296472382355
0.0007876933935985442
1.0ms
-0.0003019429775283852
-1.2070424592008567e-12
Compiler

Compiled 417 to 449 computations (-7.7% saved)

derivations556.0ms (10.3%)

Memory
-19.7MiB live, 412.6MiB allocated; 63ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 239 to 140 computations (41.4% saved)

preprocess191.0ms (3.5%)

Memory
25.7MiB live, 352.2MiB allocated; 30ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 1 097 to 930 computations (15.2% saved)

end0.0ms (0%)

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

Profiling

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